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AustinRochford/lego_ratings.ipynb

Last active October 25, 2021 15:20
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A Bayesian Model of Lego Set Ratings
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lego_ratings.ipynb
{
"cells": [
{
"cell_type": "markdown",
"id": "96ee31ae",
"metadata": {},
"source": [
"Over the last few months I have developed an interest in analyzing data about Lego sets, primarily scraped from the excellent community resource [Brickset](https://brickset.com/). Until now I have focused on price, with one [empirical analysis](https://austinrochford.com/posts/2021-06-03-vader-meditation.html) and two [Bayesian](https://austinrochford.com/posts/2021-06-10-lego-pymc3.html) [analyses](https://austinrochford.com/posts/2021-07-20-ucs-gunship.html) of the factors that drive Lego set prices, fairness of the pricing of certain notable sets ([75296](https://www.lego.com/en-us/product/darth-vader-meditation-chamber-75296) and [75309](https://www.lego.com/en-us/product/republic-gunship-75309)), and whether I tend to collect over- or under-priced sets.\n",
"\n",
"In this post I will change that focus to understanding what factors affect the ratings given to each set by Brickset members. Given my particular interest in Star Wars sets (they comprise the overwhelming majority of my collection), I am specifically curious if there is any relationship between the critical and popular reception of individual Star Wars films and television series and the Lego sets associated with them.\n",
"\n",
"First we make the necessary Python imports and do some light housekeeping."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "15e3f3fd",
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "8902771e",
"metadata": {},
"outputs": [],
"source": [
"import datetime\n",
"from functools import reduce\n",
"from warnings import filterwarnings"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "b3584ab5",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"You are running the v4 development version of PyMC which currently still lacks key features. You probably want to use the stable v3 instead which you can either install via conda or find on the v3 GitHub branch: https://github.com/pymc-devs/pymc/tree/v3\n"
]
}
],
"source": [
"import arviz as az\n",
"from aesara import shared, tensor as at\n",
"import matplotlib as mpl\n",
"from matplotlib import pyplot as plt\n",
"from matplotlib.ticker import MultipleLocator, StrMethodFormatter\n",
"import networkx as nx\n",
"import numpy as np\n",
"import pandas as pd\n",
"import pymc as pm\n",
"import scipy as sp\n",
"import seaborn as sns\n",
"from sklearn.preprocessing import StandardScaler\n",
"import xarray as xr"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "fd88c6db",
"metadata": {},
"outputs": [],
"source": [
"filterwarnings('ignore', category=RuntimeWarning, module='aesara')\n",
"filterwarnings('ignore', category=UserWarning, module='arviz')\n",
"filterwarnings('ignore', category=FutureWarning, module='pymc')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "498d0bfe",
"metadata": {},
"outputs": [],
"source": [
"FIG_WIDTH = 8\n",
"FIG_HEIGHT = 6\n",
"mpl.rcParams['figure.figsize'] = (FIG_WIDTH, FIG_HEIGHT)\n",
"\n",
"sns.set(color_codes=True)\n",
"\n",
"pct_formatter = StrMethodFormatter('{x:.1%}')"
]
},
{
"cell_type": "markdown",
"id": "233df862",
"metadata": {},
"source": [
"## Load the data\n",
"\n",
"We begin the real work by loading the data scraped from Brickset. See the [first post](https://austinrochford.com/posts/2021-06-03-vader-meditation.html) in this series for more background on the data. Note that in addition to the data present in previous scrapes we have added the count of star ratings `'✭'`, `'✭✭'`,`'✭✭✭'`, `'✭✭✭✭'`, and `'✭✭✭✭✭'` for each set that has ratings available."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "43070dfc",
"metadata": {},
"outputs": [],
"source": [
"DATA_URI = 'https://austinrochford.com/resources/lego/brickset_19800101_20210922.csv.gz'"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "efd3bbb5",
"metadata": {},
"outputs": [],
"source": [
"def to_year(x):\n",
" return np.int64(round(x))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "f500f879",
"metadata": {},
"outputs": [],
"source": [
"ATTR_COLS = [\n",
" 'Set number', 'Name', 'Set type', 'Year released',\n",
" 'Theme', 'Subtheme', 'Pieces', 'RRP$'\n",
"]\n",
"RATING_COLS = ['✭', '✭✭','✭✭✭', '✭✭✭✭', '✭✭✭✭✭']\n",
"\n",
"ALL_COLS = ATTR_COLS + RATING_COLS"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "2ac5d8fa",
"metadata": {},
"outputs": [],
"source": [
"full_df = (pd.read_csv(DATA_URI, usecols=ALL_COLS)\n",
" [ALL_COLS]\n",
" .dropna(subset=set(ATTR_COLS) - {\"Subtheme\"}))\n",
"full_df[\"Year released\"] = full_df[\"Year released\"].apply(to_year)\n",
"full_df[\"Subtheme\"] = full_df[\"Subtheme\"].fillna(\"None\")\n",
"full_df = (full_df.sort_values([\"Year released\", \"Set number\"])\n",
" .set_index(\"Set number\"))"
]
},
{
"cell_type": "markdown",
"id": "327975f7",
"metadata": {},
"source": [
"We see that the data set contains information on approximately 8,600 Lego sets produced between 1980 and September 2021."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "850f84ba",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Name</th>\n",
" <th>Set type</th>\n",
" <th>Year released</th>\n",
" <th>Theme</th>\n",
" <th>Subtheme</th>\n",
" <th>Pieces</th>\n",
" <th>RRP$</th>\n",
" <th>✭</th>\n",
" <th>✭✭</th>\n",
" <th>✭✭✭</th>\n",
" <th>✭✭✭✭</th>\n",
" <th>✭✭✭✭✭</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Set number</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1041-2</th>\n",
" <td>Educational Duplo Building Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>68.0</td>\n",
" <td>36.50</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1075-1</th>\n",
" <td>LEGO People Supplementary Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>304.0</td>\n",
" <td>14.50</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1101-1</th>\n",
" <td>Replacement 4.5V Motor</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>1.0</td>\n",
" <td>5.65</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1123-1</th>\n",
" <td>Ball and Socket Couplings &amp; One Articulated Joint</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>8.0</td>\n",
" <td>16.00</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1130-1</th>\n",
" <td>Plastic Folder for Building Instructions</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>1.0</td>\n",
" <td>14.00</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80025-1</th>\n",
" <td>Sandy's Power Loader Mech</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Monkie Kid</td>\n",
" <td>Season 2</td>\n",
" <td>520.0</td>\n",
" <td>54.99</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80026-1</th>\n",
" <td>Pigsy's Noodle Tank</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Monkie Kid</td>\n",
" <td>Season 2</td>\n",
" <td>662.0</td>\n",
" <td>59.99</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80028-1</th>\n",
" <td>The Bone Demon</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Monkie Kid</td>\n",
" <td>Season 2</td>\n",
" <td>1375.0</td>\n",
" <td>119.99</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80106-1</th>\n",
" <td>Story of Nian</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Seasonal</td>\n",
" <td>Chinese Traditional Festivals</td>\n",
" <td>1067.0</td>\n",
" <td>79.99</td>\n",
" <td>NaN</td>\n",
" <td>2.0</td>\n",
" <td>2.0</td>\n",
" <td>11.0</td>\n",
" <td>14.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80107-1</th>\n",
" <td>Spring Lantern Festival</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Seasonal</td>\n",
" <td>Chinese Traditional Festivals</td>\n",
" <td>1793.0</td>\n",
" <td>119.99</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>2.0</td>\n",
" <td>14.0</td>\n",
" <td>82.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>8632 rows × 12 columns</p>\n",
"</div>"
],
"text/plain": [
" Name Set type \\\n",
"Set number \n",
"1041-2 Educational Duplo Building Set Normal \n",
"1075-1 LEGO People Supplementary Set Normal \n",
"1101-1 Replacement 4.5V Motor Normal \n",
"1123-1 Ball and Socket Couplings & One Articulated Joint Normal \n",
"1130-1 Plastic Folder for Building Instructions Normal \n",
"... ... ... \n",
"80025-1 Sandy's Power Loader Mech Normal \n",
"80026-1 Pigsy's Noodle Tank Normal \n",
"80028-1 The Bone Demon Normal \n",
"80106-1 Story of Nian Normal \n",
"80107-1 Spring Lantern Festival Normal \n",
"\n",
" Year released Theme Subtheme \\\n",
"Set number \n",
"1041-2 1980 Dacta None \n",
"1075-1 1980 Dacta None \n",
"1101-1 1980 Service Packs None \n",
"1123-1 1980 Service Packs None \n",
"1130-1 1980 Service Packs None \n",
"... ... ... ... \n",
"80025-1 2021 Monkie Kid Season 2 \n",
"80026-1 2021 Monkie Kid Season 2 \n",
"80028-1 2021 Monkie Kid Season 2 \n",
"80106-1 2021 Seasonal Chinese Traditional Festivals \n",
"80107-1 2021 Seasonal Chinese Traditional Festivals \n",
"\n",
" Pieces RRP$ ✭ ✭✭ ✭✭✭ ✭✭✭✭ ✭✭✭✭✭ \n",
"Set number \n",
"1041-2 68.0 36.50 NaN NaN NaN NaN NaN \n",
"1075-1 304.0 14.50 NaN NaN NaN NaN NaN \n",
"1101-1 1.0 5.65 NaN NaN NaN NaN NaN \n",
"1123-1 8.0 16.00 NaN NaN NaN NaN NaN \n",
"1130-1 1.0 14.00 NaN NaN NaN NaN NaN \n",
"... ... ... ... ... ... ... ... \n",
"80025-1 520.0 54.99 NaN NaN NaN NaN NaN \n",
"80026-1 662.0 59.99 NaN NaN NaN NaN NaN \n",
"80028-1 1375.0 119.99 NaN NaN NaN NaN NaN \n",
"80106-1 1067.0 79.99 NaN 2.0 2.0 11.0 14.0 \n",
"80107-1 1793.0 119.99 1.0 1.0 2.0 14.0 82.0 \n",
"\n",
"[8632 rows x 12 columns]"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"full_df"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "58446706",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Year released</th>\n",
" <th>Pieces</th>\n",
" <th>RRP$</th>\n",
" <th>✭</th>\n",
" <th>✭✭</th>\n",
" <th>✭✭✭</th>\n",
" <th>✭✭✭✭</th>\n",
" <th>✭✭✭✭✭</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>8632.000000</td>\n",
" <td>8632.000000</td>\n",
" <td>8632.000000</td>\n",
" <td>5025.000000</td>\n",
" <td>5476.000000</td>\n",
" <td>5667.000000</td>\n",
" <td>5694.000000</td>\n",
" <td>5693.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>2009.286376</td>\n",
" <td>263.574490</td>\n",
" <td>31.667443</td>\n",
" <td>4.649154</td>\n",
" <td>8.555698</td>\n",
" <td>19.518087</td>\n",
" <td>30.423077</td>\n",
" <td>45.170912</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>9.030748</td>\n",
" <td>489.757624</td>\n",
" <td>45.678743</td>\n",
" <td>4.126446</td>\n",
" <td>7.975121</td>\n",
" <td>18.917916</td>\n",
" <td>32.934498</td>\n",
" <td>62.309390</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>1980.000000</td>\n",
" <td>0.000000</td>\n",
" <td>0.000000</td>\n",
" <td>1.000000</td>\n",
" <td>1.000000</td>\n",
" <td>1.000000</td>\n",
" <td>1.000000</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>2003.000000</td>\n",
" <td>32.000000</td>\n",
" <td>7.000000</td>\n",
" <td>2.000000</td>\n",
" <td>3.000000</td>\n",
" <td>7.000000</td>\n",
" <td>11.000000</td>\n",
" <td>13.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>2012.000000</td>\n",
" <td>100.000000</td>\n",
" <td>18.000000</td>\n",
" <td>3.000000</td>\n",
" <td>6.000000</td>\n",
" <td>14.000000</td>\n",
" <td>20.000000</td>\n",
" <td>27.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>2017.000000</td>\n",
" <td>305.000000</td>\n",
" <td>39.990000</td>\n",
" <td>6.000000</td>\n",
" <td>11.000000</td>\n",
" <td>26.000000</td>\n",
" <td>37.750000</td>\n",
" <td>52.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>2021.000000</td>\n",
" <td>11695.000000</td>\n",
" <td>799.990000</td>\n",
" <td>46.000000</td>\n",
" <td>96.000000</td>\n",
" <td>228.000000</td>\n",
" <td>361.000000</td>\n",
" <td>1080.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Year released Pieces RRP$ ✭ ✭✭ \\\n",
"count 8632.000000 8632.000000 8632.000000 5025.000000 5476.000000 \n",
"mean 2009.286376 263.574490 31.667443 4.649154 8.555698 \n",
"std 9.030748 489.757624 45.678743 4.126446 7.975121 \n",
"min 1980.000000 0.000000 0.000000 1.000000 1.000000 \n",
"25% 2003.000000 32.000000 7.000000 2.000000 3.000000 \n",
"50% 2012.000000 100.000000 18.000000 3.000000 6.000000 \n",
"75% 2017.000000 305.000000 39.990000 6.000000 11.000000 \n",
"max 2021.000000 11695.000000 799.990000 46.000000 96.000000 \n",
"\n",
" ✭✭✭ ✭✭✭✭ ✭✭✭✭✭ \n",
"count 5667.000000 5694.000000 5693.000000 \n",
"mean 19.518087 30.423077 45.170912 \n",
"std 18.917916 32.934498 62.309390 \n",
"min 1.000000 1.000000 1.000000 \n",
"25% 7.000000 11.000000 13.000000 \n",
"50% 14.000000 20.000000 27.000000 \n",
"75% 26.000000 37.750000 52.000000 \n",
"max 228.000000 361.000000 1080.000000 "
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"full_df.describe()"
]
},
{
"cell_type": "markdown",
"id": "664a4b37",
"metadata": {},
"source": [
"As in previous posts, we adjust `RRP` (recommended retail price) to 2021 dollars."
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "7a52bd46",
"metadata": {},
"outputs": [],
"source": [
"CPI_URL = 'https://austinrochford.com/resources/lego/CPIAUCNS202100401.csv'"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "3b6ac8a8",
"metadata": {},
"outputs": [],
"source": [
"years = pd.date_range('1979-01-01', '2021-01-01', freq='Y') \\\n",
" + datetime.timedelta(days=1)\n",
"cpi_df = (pd.read_csv(CPI_URL, index_col=\"DATE\", parse_dates=[\"DATE\"])\n",
" .loc[years])\n",
"cpi_df[\"to2021\"] = cpi_df.loc[\"2021-01-01\"] / cpi_df\n",
"cpi_df[\"year\"] = cpi_df.index.year"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "6b712eaf-a6b3-4a20-94eb-80620db89731",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>CPIAUCNS</th>\n",
" <th>to2021</th>\n",
" <th>year</th>\n",
" </tr>\n",
" <tr>\n",
" <th>DATE</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1980-01-01</th>\n",
" <td>77.8</td>\n",
" <td>3.362237</td>\n",
" <td>1980</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1981-01-01</th>\n",
" <td>87.0</td>\n",
" <td>3.006690</td>\n",
" <td>1981</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1982-01-01</th>\n",
" <td>94.3</td>\n",
" <td>2.773934</td>\n",
" <td>1982</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1983-01-01</th>\n",
" <td>97.8</td>\n",
" <td>2.674663</td>\n",
" <td>1983</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1984-01-01</th>\n",
" <td>101.9</td>\n",
" <td>2.567046</td>\n",
" <td>1984</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" CPIAUCNS to2021 year\n",
"DATE \n",
"1980-01-01 77.8 3.362237 1980\n",
"1981-01-01 87.0 3.006690 1981\n",
"1982-01-01 94.3 2.773934 1982\n",
"1983-01-01 97.8 2.674663 1983\n",
"1984-01-01 101.9 2.567046 1984"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cpi_df.head()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "d8336118-fefe-436d-b9a8-763a5637daf8",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
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" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Name</th>\n",
" <th>Set type</th>\n",
" <th>Year released</th>\n",
" <th>Theme</th>\n",
" <th>Subtheme</th>\n",
" <th>Pieces</th>\n",
" <th>RRP$</th>\n",
" <th>✭</th>\n",
" <th>✭✭</th>\n",
" <th>✭✭✭</th>\n",
" <th>✭✭✭✭</th>\n",
" <th>✭✭✭✭✭</th>\n",
" <th>CPIAUCNS</th>\n",
" <th>to2021</th>\n",
" <th>year</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>Educational Duplo Building Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>68.0</td>\n",
" <td>36.50</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>77.800</td>\n",
" <td>3.362237</td>\n",
" <td>1980</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>LEGO People Supplementary Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>304.0</td>\n",
" <td>14.50</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>77.800</td>\n",
" <td>3.362237</td>\n",
" <td>1980</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>Replacement 4.5V Motor</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>1.0</td>\n",
" <td>5.65</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>77.800</td>\n",
" <td>3.362237</td>\n",
" <td>1980</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>Ball and Socket Couplings &amp; One Articulated Joint</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>8.0</td>\n",
" <td>16.00</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>77.800</td>\n",
" <td>3.362237</td>\n",
" <td>1980</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>Plastic Folder for Building Instructions</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>1.0</td>\n",
" <td>14.00</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>77.800</td>\n",
" <td>3.362237</td>\n",
" <td>1980</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8627</th>\n",
" <td>Sandy's Power Loader Mech</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Monkie Kid</td>\n",
" <td>Season 2</td>\n",
" <td>520.0</td>\n",
" <td>54.99</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>261.582</td>\n",
" <td>1.000000</td>\n",
" <td>2021</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8628</th>\n",
" <td>Pigsy's Noodle Tank</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Monkie Kid</td>\n",
" <td>Season 2</td>\n",
" <td>662.0</td>\n",
" <td>59.99</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>261.582</td>\n",
" <td>1.000000</td>\n",
" <td>2021</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8629</th>\n",
" <td>The Bone Demon</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Monkie Kid</td>\n",
" <td>Season 2</td>\n",
" <td>1375.0</td>\n",
" <td>119.99</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>261.582</td>\n",
" <td>1.000000</td>\n",
" <td>2021</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8630</th>\n",
" <td>Story of Nian</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Seasonal</td>\n",
" <td>Chinese Traditional Festivals</td>\n",
" <td>1067.0</td>\n",
" <td>79.99</td>\n",
" <td>NaN</td>\n",
" <td>2.0</td>\n",
" <td>2.0</td>\n",
" <td>11.0</td>\n",
" <td>14.0</td>\n",
" <td>261.582</td>\n",
" <td>1.000000</td>\n",
" <td>2021</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8631</th>\n",
" <td>Spring Lantern Festival</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Seasonal</td>\n",
" <td>Chinese Traditional Festivals</td>\n",
" <td>1793.0</td>\n",
" <td>119.99</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>2.0</td>\n",
" <td>14.0</td>\n",
" <td>82.0</td>\n",
" <td>261.582</td>\n",
" <td>1.000000</td>\n",
" <td>2021</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>8632 rows × 15 columns</p>\n",
"</div>"
],
"text/plain": [
" Name Set type \\\n",
"0 Educational Duplo Building Set Normal \n",
"1 LEGO People Supplementary Set Normal \n",
"2 Replacement 4.5V Motor Normal \n",
"3 Ball and Socket Couplings & One Articulated Joint Normal \n",
"4 Plastic Folder for Building Instructions Normal \n",
"... ... ... \n",
"8627 Sandy's Power Loader Mech Normal \n",
"8628 Pigsy's Noodle Tank Normal \n",
"8629 The Bone Demon Normal \n",
"8630 Story of Nian Normal \n",
"8631 Spring Lantern Festival Normal \n",
"\n",
" Year released Theme Subtheme Pieces \\\n",
"0 1980 Dacta None 68.0 \n",
"1 1980 Dacta None 304.0 \n",
"2 1980 Service Packs None 1.0 \n",
"3 1980 Service Packs None 8.0 \n",
"4 1980 Service Packs None 1.0 \n",
"... ... ... ... ... \n",
"8627 2021 Monkie Kid Season 2 520.0 \n",
"8628 2021 Monkie Kid Season 2 662.0 \n",
"8629 2021 Monkie Kid Season 2 1375.0 \n",
"8630 2021 Seasonal Chinese Traditional Festivals 1067.0 \n",
"8631 2021 Seasonal Chinese Traditional Festivals 1793.0 \n",
"\n",
" RRP$ ✭ ✭✭ ✭✭✭ ✭✭✭✭ ✭✭✭✭✭ CPIAUCNS to2021 year \n",
"0 36.50 NaN NaN NaN NaN NaN 77.800 3.362237 1980 \n",
"1 14.50 NaN NaN NaN NaN NaN 77.800 3.362237 1980 \n",
"2 5.65 NaN NaN NaN NaN NaN 77.800 3.362237 1980 \n",
"3 16.00 NaN NaN NaN NaN NaN 77.800 3.362237 1980 \n",
"4 14.00 NaN NaN NaN NaN NaN 77.800 3.362237 1980 \n",
"... ... ... ... ... ... ... ... ... ... \n",
"8627 54.99 NaN NaN NaN NaN NaN 261.582 1.000000 2021 \n",
"8628 59.99 NaN NaN NaN NaN NaN 261.582 1.000000 2021 \n",
"8629 119.99 NaN NaN NaN NaN NaN 261.582 1.000000 2021 \n",
"8630 79.99 NaN 2.0 2.0 11.0 14.0 261.582 1.000000 2021 \n",
"8631 119.99 1.0 1.0 2.0 14.0 82.0 261.582 1.000000 2021 \n",
"\n",
"[8632 rows x 15 columns]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.merge(full_df, cpi_df,\n",
" left_on=\"Year released\",\n",
" right_on=\"year\")"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "423b2c97",
"metadata": {},
"outputs": [],
"source": [
"full_df.insert(len(ATTR_COLS) - 1,\n",
" \"RRP2021\",\n",
" (pd.merge(full_df, cpi_df,\n",
" left_on=\"Year released\",\n",
" right_on=\"year\")\n",
" .apply(lambda df: (df[\"RRP$\"] * df[\"to2021\"]),\n",
" axis=1))\n",
" .values)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "7f1573ab",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
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" text-align: right;\n",
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"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Name</th>\n",
" <th>Set type</th>\n",
" <th>Year released</th>\n",
" <th>Theme</th>\n",
" <th>Subtheme</th>\n",
" <th>Pieces</th>\n",
" <th>RRP$</th>\n",
" <th>RRP2021</th>\n",
" <th>✭</th>\n",
" <th>✭✭</th>\n",
" <th>✭✭✭</th>\n",
" <th>✭✭✭✭</th>\n",
" <th>✭✭✭✭✭</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Set number</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1041-2</th>\n",
" <td>Educational Duplo Building Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>68.0</td>\n",
" <td>36.50</td>\n",
" <td>122.721632</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1075-1</th>\n",
" <td>LEGO People Supplementary Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>304.0</td>\n",
" <td>14.50</td>\n",
" <td>48.752429</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1101-1</th>\n",
" <td>Replacement 4.5V Motor</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>1.0</td>\n",
" <td>5.65</td>\n",
" <td>18.996636</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1123-1</th>\n",
" <td>Ball and Socket Couplings &amp; One Articulated Joint</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>8.0</td>\n",
" <td>16.00</td>\n",
" <td>53.795784</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1130-1</th>\n",
" <td>Plastic Folder for Building Instructions</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>1.0</td>\n",
" <td>14.00</td>\n",
" <td>47.071311</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Name Set type \\\n",
"Set number \n",
"1041-2 Educational Duplo Building Set Normal \n",
"1075-1 LEGO People Supplementary Set Normal \n",
"1101-1 Replacement 4.5V Motor Normal \n",
"1123-1 Ball and Socket Couplings & One Articulated Joint Normal \n",
"1130-1 Plastic Folder for Building Instructions Normal \n",
"\n",
" Year released Theme Subtheme Pieces RRP$ RRP2021 \\\n",
"Set number \n",
"1041-2 1980 Dacta None 68.0 36.50 122.721632 \n",
"1075-1 1980 Dacta None 304.0 14.50 48.752429 \n",
"1101-1 1980 Service Packs None 1.0 5.65 18.996636 \n",
"1123-1 1980 Service Packs None 8.0 16.00 53.795784 \n",
"1130-1 1980 Service Packs None 1.0 14.00 47.071311 \n",
"\n",
" ✭ ✭✭ ✭✭✭ ✭✭✭✭ ✭✭✭✭✭ \n",
"Set number \n",
"1041-2 NaN NaN NaN NaN NaN \n",
"1075-1 NaN NaN NaN NaN NaN \n",
"1101-1 NaN NaN NaN NaN NaN \n",
"1123-1 NaN NaN NaN NaN NaN \n",
"1130-1 NaN NaN NaN NaN NaN "
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"full_df.head()"
]
},
{
"cell_type": "markdown",
"id": "7ff3bcb8-19ae-4dd6-984d-54c64d961bac",
"metadata": {},
"source": [
"We also add a column indicating whether or not I own each set."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "91c60a7c",
"metadata": {},
"outputs": [],
"source": [
"AUSTIN_URI = 'https://austinrochford.com/resources/lego/Brickset-MySets-owned-20211002.csv'"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "eaa900a4",
"metadata": {},
"outputs": [],
"source": [
"austin_sets = set(\n",
" pd.read_csv(AUSTIN_URI, usecols=[\"Number\"])\n",
" .values\n",
" .squeeze()\n",
")"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "c6aef8e7",
"metadata": {},
"outputs": [],
"source": [
"full_df[\"Austin owns\"] = (full_df.index\n",
" .get_level_values(\"Set number\")\n",
" .isin(austin_sets))"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "66eae234",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Name</th>\n",
" <th>Set type</th>\n",
" <th>Year released</th>\n",
" <th>Theme</th>\n",
" <th>Subtheme</th>\n",
" <th>Pieces</th>\n",
" <th>RRP$</th>\n",
" <th>RRP2021</th>\n",
" <th>✭</th>\n",
" <th>✭✭</th>\n",
" <th>✭✭✭</th>\n",
" <th>✭✭✭✭</th>\n",
" <th>✭✭✭✭✭</th>\n",
" <th>Austin owns</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Set number</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1041-2</th>\n",
" <td>Educational Duplo Building Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>68.0</td>\n",
" <td>36.50</td>\n",
" <td>122.721632</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1075-1</th>\n",
" <td>LEGO People Supplementary Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>304.0</td>\n",
" <td>14.50</td>\n",
" <td>48.752429</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1101-1</th>\n",
" <td>Replacement 4.5V Motor</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>1.0</td>\n",
" <td>5.65</td>\n",
" <td>18.996636</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1123-1</th>\n",
" <td>Ball and Socket Couplings &amp; One Articulated Joint</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>8.0</td>\n",
" <td>16.00</td>\n",
" <td>53.795784</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1130-1</th>\n",
" <td>Plastic Folder for Building Instructions</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Service Packs</td>\n",
" <td>None</td>\n",
" <td>1.0</td>\n",
" <td>14.00</td>\n",
" <td>47.071311</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Name Set type \\\n",
"Set number \n",
"1041-2 Educational Duplo Building Set Normal \n",
"1075-1 LEGO People Supplementary Set Normal \n",
"1101-1 Replacement 4.5V Motor Normal \n",
"1123-1 Ball and Socket Couplings & One Articulated Joint Normal \n",
"1130-1 Plastic Folder for Building Instructions Normal \n",
"\n",
" Year released Theme Subtheme Pieces RRP$ RRP2021 \\\n",
"Set number \n",
"1041-2 1980 Dacta None 68.0 36.50 122.721632 \n",
"1075-1 1980 Dacta None 304.0 14.50 48.752429 \n",
"1101-1 1980 Service Packs None 1.0 5.65 18.996636 \n",
"1123-1 1980 Service Packs None 8.0 16.00 53.795784 \n",
"1130-1 1980 Service Packs None 1.0 14.00 47.071311 \n",
"\n",
" ✭ ✭✭ ✭✭✭ ✭✭✭✭ ✭✭✭✭✭ Austin owns \n",
"Set number \n",
"1041-2 NaN NaN NaN NaN NaN False \n",
"1075-1 NaN NaN NaN NaN NaN False \n",
"1101-1 NaN NaN NaN NaN NaN False \n",
"1123-1 NaN NaN NaN NaN NaN False \n",
"1130-1 NaN NaN NaN NaN NaN False "
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"full_df.head()"
]
},
{
"cell_type": "markdown",
"id": "ff045bc9",
"metadata": {},
"source": [
"Based on the exploratory data analysis in the first post in this series, we filter full_df down to approximately 6,400 sets to be considered for analysis."
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "84d3e931",
"metadata": {},
"outputs": [],
"source": [
"FILTERS = [\n",
" full_df[\"Set type\"] == \"Normal\",\n",
" full_df[\"Pieces\"] > 10,\n",
" full_df[\"Theme\"] != \"Duplo\",\n",
" full_df[\"Theme\"] != \"Service Packs\",\n",
" full_df[\"Theme\"] != \"Bulk Bricks\",\n",
" full_df[\"RRP2021\"] > 0\n",
"]"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "c6648df1",
"metadata": {},
"outputs": [],
"source": [
"df = full_df[reduce(np.logical_and, FILTERS)].copy()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "b3dc7945",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Name</th>\n",
" <th>Set type</th>\n",
" <th>Year released</th>\n",
" <th>Theme</th>\n",
" <th>Subtheme</th>\n",
" <th>Pieces</th>\n",
" <th>RRP$</th>\n",
" <th>RRP2021</th>\n",
" <th>✭</th>\n",
" <th>✭✭</th>\n",
" <th>✭✭✭</th>\n",
" <th>✭✭✭✭</th>\n",
" <th>✭✭✭✭✭</th>\n",
" <th>Austin owns</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Set number</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>1041-2</th>\n",
" <td>Educational Duplo Building Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>68.0</td>\n",
" <td>36.50</td>\n",
" <td>122.721632</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1075-1</th>\n",
" <td>LEGO People Supplementary Set</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Dacta</td>\n",
" <td>None</td>\n",
" <td>304.0</td>\n",
" <td>14.50</td>\n",
" <td>48.752429</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5233-1</th>\n",
" <td>Bedroom</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Homemaker</td>\n",
" <td>None</td>\n",
" <td>26.0</td>\n",
" <td>4.50</td>\n",
" <td>15.130064</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6305-1</th>\n",
" <td>Trees and Flowers</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Town</td>\n",
" <td>Accessories</td>\n",
" <td>12.0</td>\n",
" <td>3.75</td>\n",
" <td>12.608387</td>\n",
" <td>3.0</td>\n",
" <td>4.0</td>\n",
" <td>9.0</td>\n",
" <td>6.0</td>\n",
" <td>13.0</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6306-1</th>\n",
" <td>Road Signs</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Town</td>\n",
" <td>Accessories</td>\n",
" <td>12.0</td>\n",
" <td>2.50</td>\n",
" <td>8.405591</td>\n",
" <td>4.0</td>\n",
" <td>2.0</td>\n",
" <td>8.0</td>\n",
" <td>13.0</td>\n",
" <td>17.0</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>...</th>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" <td>...</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80025-1</th>\n",
" <td>Sandy's Power Loader Mech</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Monkie Kid</td>\n",
" <td>Season 2</td>\n",
" <td>520.0</td>\n",
" <td>54.99</td>\n",
" <td>54.990000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80026-1</th>\n",
" <td>Pigsy's Noodle Tank</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Monkie Kid</td>\n",
" <td>Season 2</td>\n",
" <td>662.0</td>\n",
" <td>59.99</td>\n",
" <td>59.990000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80028-1</th>\n",
" <td>The Bone Demon</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Monkie Kid</td>\n",
" <td>Season 2</td>\n",
" <td>1375.0</td>\n",
" <td>119.99</td>\n",
" <td>119.990000</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80106-1</th>\n",
" <td>Story of Nian</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Seasonal</td>\n",
" <td>Chinese Traditional Festivals</td>\n",
" <td>1067.0</td>\n",
" <td>79.99</td>\n",
" <td>79.990000</td>\n",
" <td>NaN</td>\n",
" <td>2.0</td>\n",
" <td>2.0</td>\n",
" <td>11.0</td>\n",
" <td>14.0</td>\n",
" <td>False</td>\n",
" </tr>\n",
" <tr>\n",
" <th>80107-1</th>\n",
" <td>Spring Lantern Festival</td>\n",
" <td>Normal</td>\n",
" <td>2021</td>\n",
" <td>Seasonal</td>\n",
" <td>Chinese Traditional Festivals</td>\n",
" <td>1793.0</td>\n",
" <td>119.99</td>\n",
" <td>119.990000</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>2.0</td>\n",
" <td>14.0</td>\n",
" <td>82.0</td>\n",
" <td>False</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>6420 rows × 14 columns</p>\n",
"</div>"
],
"text/plain": [
" Name Set type Year released \\\n",
"Set number \n",
"1041-2 Educational Duplo Building Set Normal 1980 \n",
"1075-1 LEGO People Supplementary Set Normal 1980 \n",
"5233-1 Bedroom Normal 1980 \n",
"6305-1 Trees and Flowers Normal 1980 \n",
"6306-1 Road Signs Normal 1980 \n",
"... ... ... ... \n",
"80025-1 Sandy's Power Loader Mech Normal 2021 \n",
"80026-1 Pigsy's Noodle Tank Normal 2021 \n",
"80028-1 The Bone Demon Normal 2021 \n",
"80106-1 Story of Nian Normal 2021 \n",
"80107-1 Spring Lantern Festival Normal 2021 \n",
"\n",
" Theme Subtheme Pieces RRP$ \\\n",
"Set number \n",
"1041-2 Dacta None 68.0 36.50 \n",
"1075-1 Dacta None 304.0 14.50 \n",
"5233-1 Homemaker None 26.0 4.50 \n",
"6305-1 Town Accessories 12.0 3.75 \n",
"6306-1 Town Accessories 12.0 2.50 \n",
"... ... ... ... ... \n",
"80025-1 Monkie Kid Season 2 520.0 54.99 \n",
"80026-1 Monkie Kid Season 2 662.0 59.99 \n",
"80028-1 Monkie Kid Season 2 1375.0 119.99 \n",
"80106-1 Seasonal Chinese Traditional Festivals 1067.0 79.99 \n",
"80107-1 Seasonal Chinese Traditional Festivals 1793.0 119.99 \n",
"\n",
" RRP2021 ✭ ✭✭ ✭✭✭ ✭✭✭✭ ✭✭✭✭✭ Austin owns \n",
"Set number \n",
"1041-2 122.721632 NaN NaN NaN NaN NaN False \n",
"1075-1 48.752429 NaN NaN NaN NaN NaN False \n",
"5233-1 15.130064 NaN NaN NaN NaN NaN False \n",
"6305-1 12.608387 3.0 4.0 9.0 6.0 13.0 False \n",
"6306-1 8.405591 4.0 2.0 8.0 13.0 17.0 False \n",
"... ... ... ... ... ... ... ... \n",
"80025-1 54.990000 NaN NaN NaN NaN NaN False \n",
"80026-1 59.990000 NaN NaN NaN NaN NaN False \n",
"80028-1 119.990000 NaN NaN NaN NaN NaN False \n",
"80106-1 79.990000 NaN 2.0 2.0 11.0 14.0 False \n",
"80107-1 119.990000 1.0 1.0 2.0 14.0 82.0 False \n",
"\n",
"[6420 rows x 14 columns]"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "9ab1f871",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Year released</th>\n",
" <th>Pieces</th>\n",
" <th>RRP$</th>\n",
" <th>RRP2021</th>\n",
" <th>✭</th>\n",
" <th>✭✭</th>\n",
" <th>✭✭✭</th>\n",
" <th>✭✭✭✭</th>\n",
" <th>✭✭✭✭✭</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>6420.000000</td>\n",
" <td>6420.000000</td>\n",
" <td>6420.000000</td>\n",
" <td>6420.000000</td>\n",
" <td>4307.000000</td>\n",
" <td>4712.000000</td>\n",
" <td>4883.000000</td>\n",
" <td>4907.000000</td>\n",
" <td>4906.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>2009.714642</td>\n",
" <td>343.184112</td>\n",
" <td>37.552062</td>\n",
" <td>46.171183</td>\n",
" <td>4.636638</td>\n",
" <td>8.516978</td>\n",
" <td>19.449928</td>\n",
" <td>31.193397</td>\n",
" <td>46.018956</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>8.939369</td>\n",
" <td>544.179590</td>\n",
" <td>50.379534</td>\n",
" <td>59.373029</td>\n",
" <td>4.273900</td>\n",
" <td>8.313056</td>\n",
" <td>19.843605</td>\n",
" <td>34.925100</td>\n",
" <td>66.244232</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>1980.000000</td>\n",
" <td>11.000000</td>\n",
" <td>0.600000</td>\n",
" <td>0.971220</td>\n",
" <td>1.000000</td>\n",
" <td>1.000000</td>\n",
" <td>1.000000</td>\n",
" <td>1.000000</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>2003.000000</td>\n",
" <td>69.000000</td>\n",
" <td>9.990000</td>\n",
" <td>11.870620</td>\n",
" <td>2.000000</td>\n",
" <td>3.000000</td>\n",
" <td>7.000000</td>\n",
" <td>10.000000</td>\n",
" <td>13.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>2012.000000</td>\n",
" <td>181.000000</td>\n",
" <td>19.990000</td>\n",
" <td>27.347055</td>\n",
" <td>3.000000</td>\n",
" <td>6.000000</td>\n",
" <td>13.000000</td>\n",
" <td>19.000000</td>\n",
" <td>25.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>2017.000000</td>\n",
" <td>404.000000</td>\n",
" <td>49.990000</td>\n",
" <td>56.497192</td>\n",
" <td>6.000000</td>\n",
" <td>11.000000</td>\n",
" <td>25.000000</td>\n",
" <td>38.000000</td>\n",
" <td>52.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>2021.000000</td>\n",
" <td>11695.000000</td>\n",
" <td>799.990000</td>\n",
" <td>897.373477</td>\n",
" <td>46.000000</td>\n",
" <td>96.000000</td>\n",
" <td>228.000000</td>\n",
" <td>361.000000</td>\n",
" <td>1080.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Year released Pieces RRP$ RRP2021 ✭ \\\n",
"count 6420.000000 6420.000000 6420.000000 6420.000000 4307.000000 \n",
"mean 2009.714642 343.184112 37.552062 46.171183 4.636638 \n",
"std 8.939369 544.179590 50.379534 59.373029 4.273900 \n",
"min 1980.000000 11.000000 0.600000 0.971220 1.000000 \n",
"25% 2003.000000 69.000000 9.990000 11.870620 2.000000 \n",
"50% 2012.000000 181.000000 19.990000 27.347055 3.000000 \n",
"75% 2017.000000 404.000000 49.990000 56.497192 6.000000 \n",
"max 2021.000000 11695.000000 799.990000 897.373477 46.000000 \n",
"\n",
" ✭✭ ✭✭✭ ✭✭✭✭ ✭✭✭✭✭ \n",
"count 4712.000000 4883.000000 4907.000000 4906.000000 \n",
"mean 8.516978 19.449928 31.193397 46.018956 \n",
"std 8.313056 19.843605 34.925100 66.244232 \n",
"min 1.000000 1.000000 1.000000 1.000000 \n",
"25% 3.000000 7.000000 10.000000 13.000000 \n",
"50% 6.000000 13.000000 19.000000 25.000000 \n",
"75% 11.000000 25.000000 38.000000 52.000000 \n",
"max 96.000000 228.000000 361.000000 1080.000000 "
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.describe()"
]
},
{
"cell_type": "markdown",
"id": "0b573c54",
"metadata": {},
"source": [
"We now reduce `df` to sets that have had at least one rating."
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "9b135f9d",
"metadata": {},
"outputs": [],
"source": [
"rated_df = df.dropna(how='all', subset=RATING_COLS).copy()\n",
"rated_df[RATING_COLS] = rated_df[RATING_COLS].fillna(0.)\n",
"rated_df[\"Ratings\"] = rated_df[RATING_COLS].sum(axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "fc7d6514",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>Name</th>\n",
" <th>Set type</th>\n",
" <th>Year released</th>\n",
" <th>Theme</th>\n",
" <th>Subtheme</th>\n",
" <th>Pieces</th>\n",
" <th>RRP$</th>\n",
" <th>RRP2021</th>\n",
" <th>✭</th>\n",
" <th>✭✭</th>\n",
" <th>✭✭✭</th>\n",
" <th>✭✭✭✭</th>\n",
" <th>✭✭✭✭✭</th>\n",
" <th>Austin owns</th>\n",
" <th>Ratings</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Set number</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>6305-1</th>\n",
" <td>Trees and Flowers</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Town</td>\n",
" <td>Accessories</td>\n",
" <td>12.0</td>\n",
" <td>3.75</td>\n",
" <td>12.608387</td>\n",
" <td>3.0</td>\n",
" <td>4.0</td>\n",
" <td>9.0</td>\n",
" <td>6.0</td>\n",
" <td>13.0</td>\n",
" <td>False</td>\n",
" <td>35.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6306-1</th>\n",
" <td>Road Signs</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Town</td>\n",
" <td>Accessories</td>\n",
" <td>12.0</td>\n",
" <td>2.50</td>\n",
" <td>8.405591</td>\n",
" <td>4.0</td>\n",
" <td>2.0</td>\n",
" <td>8.0</td>\n",
" <td>13.0</td>\n",
" <td>17.0</td>\n",
" <td>False</td>\n",
" <td>44.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6375-2</th>\n",
" <td>Exxon Gas Station</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Town</td>\n",
" <td>Shops and Services</td>\n",
" <td>267.0</td>\n",
" <td>20.00</td>\n",
" <td>67.244730</td>\n",
" <td>0.0</td>\n",
" <td>0.0</td>\n",
" <td>1.0</td>\n",
" <td>5.0</td>\n",
" <td>12.0</td>\n",
" <td>False</td>\n",
" <td>18.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6390-1</th>\n",
" <td>Main Street</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Town</td>\n",
" <td>Shops and Services</td>\n",
" <td>591.0</td>\n",
" <td>40.00</td>\n",
" <td>134.489460</td>\n",
" <td>0.0</td>\n",
" <td>1.0</td>\n",
" <td>1.0</td>\n",
" <td>3.0</td>\n",
" <td>14.0</td>\n",
" <td>False</td>\n",
" <td>19.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6861-1</th>\n",
" <td>X1 Patrol Craft</td>\n",
" <td>Normal</td>\n",
" <td>1980</td>\n",
" <td>Space</td>\n",
" <td>Classic</td>\n",
" <td>55.0</td>\n",
" <td>4.00</td>\n",
" <td>13.448946</td>\n",
" <td>1.0</td>\n",
" <td>3.0</td>\n",
" <td>6.0</td>\n",
" <td>14.0</td>\n",
" <td>19.0</td>\n",
" <td>False</td>\n",
" <td>43.0</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Name Set type Year released Theme \\\n",
"Set number \n",
"6305-1 Trees and Flowers Normal 1980 Town \n",
"6306-1 Road Signs Normal 1980 Town \n",
"6375-2 Exxon Gas Station Normal 1980 Town \n",
"6390-1 Main Street Normal 1980 Town \n",
"6861-1 X1 Patrol Craft Normal 1980 Space \n",
"\n",
" Subtheme Pieces RRP$ RRP2021 ✭ ✭✭ ✭✭✭ \\\n",
"Set number \n",
"6305-1 Accessories 12.0 3.75 12.608387 3.0 4.0 9.0 \n",
"6306-1 Accessories 12.0 2.50 8.405591 4.0 2.0 8.0 \n",
"6375-2 Shops and Services 267.0 20.00 67.244730 0.0 0.0 1.0 \n",
"6390-1 Shops and Services 591.0 40.00 134.489460 0.0 1.0 1.0 \n",
"6861-1 Classic 55.0 4.00 13.448946 1.0 3.0 6.0 \n",
"\n",
" ✭✭✭✭ ✭✭✭✭✭ Austin owns Ratings \n",
"Set number \n",
"6305-1 6.0 13.0 False 35.0 \n",
"6306-1 13.0 17.0 False 44.0 \n",
"6375-2 5.0 12.0 False 18.0 \n",
"6390-1 3.0 14.0 False 19.0 \n",
"6861-1 14.0 19.0 False 43.0 "
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rated_df.head()"
]
},
{
"cell_type": "markdown",
"id": "0dee808d",
"metadata": {},
"source": [
"We see that slightly more than 75% of the sets under consideration have at least one rating, which is (pleasantly) more than I was expecting."
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "bbd67034",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.7643302180685358"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rated_df.shape[0] / df.shape[0]"
]
},
{
"cell_type": "markdown",
"id": "5e073d68",
"metadata": {},
"source": [
"## Exploratory Data Analysis\n",
"\n",
"We begin with a descriptive exploration of the Brickset ratings data. Immediately we see that the vast majority of sets have been rated a few dozen to a few hundred times."
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "19776ddf",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=2, sharex=True,\n",
" figsize=(1.75 * FIG_WIDTH, FIG_HEIGHT))\n",
"\n",
"sns.histplot(rated_df[RATING_COLS].sum(axis=1),\n",
" lw=0., ax=axes[0])\n",
"\n",
"axes[0].set_xlim(left=0);\n",
"axes[0].set_xlabel(\"Number of ratings\");\n",
"\n",
"axes[0].set_ylabel(\"Number of sets\");\n",
"\n",
"sns.histplot(rated_df[RATING_COLS].sum(axis=1),\n",
" cumulative=True, lw=0., ax=axes[1])\n",
"axes[1].axhline(rated_df.shape[0], c='k', ls='--');\n",
"\n",
"axes[1].set_xlim(left=0);\n",
"axes[1].set_xlabel(\"Number of ratings\");\n",
"\n",
"axes[1].set_ylabel(\"Cumulative number of sets\");\n",
"\n",
"fig.tight_layout();"
]
},
{
"cell_type": "markdown",
"id": "63649d4b",
"metadata": {},
"source": [
"We now explore the distribution of average ratings."
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "1d9bf1b4",
"metadata": {},
"outputs": [],
"source": [
"def average_rating(ratings):\n",
" if isinstance(ratings, (xr.DataArray, xr.Dataset)):\n",
" stars = ratings.coords[\"rating\"].str.len()\n",
"\n",
" return (ratings * stars).sum(dim=\"rating\") / ratings.sum(dim=\"rating\")\n",
" else:\n",
" ratings = np.asanyarray(ratings)\n",
" stars = 1 + np.arange(ratings.shape[-1])\n",
"\n",
" return (ratings * stars).sum(axis=-1) / ratings.sum(axis=-1)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "4e6034ef",
"metadata": {},
"outputs": [],
"source": [
"rated_df[\"Average rating\"] = (rated_df[RATING_COLS]\n",
" .apply(average_rating, axis=1))"
]
},
{
"cell_type": "markdown",
"id": "426009dd",
"metadata": {},
"source": [
"We see that the distribution over time (our data set covers sets released between 1980 and September 2021) has decreased from just under 4.5 to just below 4 over the years. Unsurprisingly, the percentage of ratings in each category between one and five stars has varied similarly over time."
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "eddd8398",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"time_fig, axes = plt.subplots(\n",
" ncols=2, sharex=True,\n",
" figsize=(1.75 * FIG_WIDTH, FIG_HEIGHT)\n",
")\n",
"\n",
"(rated_df[\"Average rating\"]\n",
" .groupby(rated_df[\"Year released\"])\n",
" .mean()\n",
" .rolling(5, min_periods=1)\n",
" .mean()\n",
" .plot(ax=axes[0]));\n",
"\n",
"axes[0].set_ylim(3.4, 4.6);\n",
"axes[0].set_yticks([3.5, 4, 4.5]);\n",
"axes[0].set_yticklabels([\"✭✭✭ ½\", \"✭✭✭✭\", \"✭✭✭✭ ½\"]);\n",
"axes[0].set_ylabel(\"Average set rating\");\n",
"\n",
"(rated_df[RATING_COLS]\n",
" .div(rated_df[RATING_COLS].sum(axis=1),\n",
" axis=0)\n",
" .groupby(rated_df[\"Year released\"])\n",
" .mean()\n",
" .rolling(5, min_periods=1)\n",
" .mean()\n",
" .iloc[:, ::-1]\n",
" .plot(ax=axes[1]));\n",
"\n",
"axes[1].yaxis.set_major_formatter(pct_formatter);\n",
"axes[1].set_ylabel(\"Average percentage of ratings\");"
]
},
{
"cell_type": "markdown",
"id": "68646947",
"metadata": {},
"source": [
"It is interesting to try to interpret this trend. Since the year is the year the set was released and not necessarily reviewed (Brickset [did not exist](https://brickset.com/article/52659/about-brickset) until 1997), there is certainly some selection bias in early reviews, because they will only exist for those Lego collectors sufficiently passionate to own older sets, join Brickset, and rate them there once the set becomes available. In fact, for any period of time it is important to remember that these ratings do not represent the sentiment of the general Lego purchasing or collecting public towards each set, but the sentiments of the subset of those purchasers and collectors that are not only movitated to visit and join Brickset, but to rate their sets there. For reference, I visit Bricket frequently for both research purposes and to track my collection, but I have never rated a set there. It seems reasonable to assume that these biases will shrink, but never truly vanish, for more recently released sets. These biases and caveats are important to keep in the back of our mind as we perform our analysis.\n",
"\n",
"We now turn to the specific (sub)themes that I tend to collect, namely Star Wars and NASA sets."
]
},
{
"cell_type": "code",
"execution_count": 33,
"id": "8d76097c",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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69e+jp8csdSg0TnesLsIdq4ukDoOI/BhztHcdOLBvSEHur6677kb8+9/PSx1GSGGOJvIurgU1yIYN63D33ffjv/99GV98sQ1LlizD73//KCZNmoRrrvk2AKCqqgI///kDeOut92Gx9OBvf3sKlZXlsNlsmDFjNu6998eQy+W45547MXXqdBw/fhQqlQq///0T+NnPfgSj0Qir1Yqiosn46U8fhlKphN1ux5NP/hEHDuxDbGwsJk6chM7ODvzud38EALz66n/w+eefwOl0IiFBh5///BeIjz+90+W6dWtx8cUr3P/++OPNePvt1+Fw9H9w+eEPf4TZs+eO+nw8+eQfYDabcdttNyIsLAz//Oe/AQAHD+7HmjUvo729HRddtAw/+MG9AID29nb85S9/hF7fAqvViksuWYGbb/4ugP6r/ZdcshL79u1BW1sr7rrrXnR1dWLLls3o7u7Gww//BtOnzwAAfPXVF3jllX/DarVBqVTi3nt/gilTpqKurgb/93//i76+PrhcTqxcuRo33ngLFAoF5s49D598sgWXX37VWL/t5AfiosKkDoGI/Bxz9FAGQyceeeSXMBg6AACzZ8/Fffc9gBdffA69vb24554fAcBp/9brW/Dgg/dBr29BZmYW/ud/fgO9vgUffLAWLpcLe/fuxtKll2DZsksAAM899wx27dqJvr4+PPTQrzF9ejGAM+fq/fv34umnn0BR0WQcO3YECoUCv/zlo3jppRdQXV0JnS4J//d/f0J4eDjsdjuef/5ZHDy4D3a7A3l5eXjggf9BREQEPvhgLd566zUolSqIoguPPvo4srKycf75C/HHP/4fLJYeRERwfWxfYI4m8i6/Kcj/8Or+0x6bU6jDRTPTYbU78Ze3Dp32/IKpKVg4LQUmiw3Pvnf0tOeXzEzD3MKkUR2/vLwM3d3dmDVrDjo7O7BhwzosWbIMq1atxtNPP+FO9hs2rMeqVZdBEAT87W9Pobh4Jh566FdwuVz43//9JTZsWOcuCquqKvDEE3+DQqGAKIr4zW9+h+joGIiiiN/97jfYsOEDXHnltfjgg3eh17dgzZq34HQ6ce+934dO179kx0cfbURDQwOee+5lyGQyvPfeO/j73/+C3/zmd6e9hwMH9uHGG291/3vevPNw8cXLIQgC6upqcP/9d+O99zaO6nwAwE9+8nN873u34OWXXxvyuF7fgmeeeQEWiwXXX38FLrvsCmRkZOJ3v/s1brvteygungm73Y4f/egHyM8vxJw55wEA7HY7nnvuJZSUHMO9934fP/jBfXjhhVfwySdb8M9//h3/+MeLaGxswMsvv4gnn/wbNBotqqoq8eCD92Ht2g1Yu/YdzJ+/ALfd9j0A/cMXB0yePBW7du1kQR6gdpfoAWDUv69E5FvM0f6Xoz/+eBOSk5Px9NPPAhiaE8/m8OEDeOml16DTJeLRR3+Dl1/+F+6550e44oqrhxTuzc1NMBqNmDJlGr7//R/i44834Z///Cv+8Y9/nzVXA0BNTRV++ctH8POf/xJPPPEHPPDAvXjuuZeg0yXhwQfvw9atH2H16ivx6qv/gUajwQsv9I/Ge/bZv+K//30J3//+D/Hss0/jlVfeRFJSMmw2m3vNdIVCgdzcPBw+fAjnnXf+qM8XjR9zNJF3+U1BLrUNGz7AihWXQhAELF68BE899Se0tbVi+vQZsFh6UFFRjuzsHGzd+hGee65/vvIXX2xHSckxvPHGqwCAvr4+6HTf/LG6+OIVUCj6T7HL5cLrr6/Brl1fwuVywmQyISys/4rj/v37sGLFKigUCigUCixbthyHDx9wH6O0tAS3334zAMDpdECr1Q77HtraWhEbG+f+d2NjAx555Bdoa2uDQqFAZ2cHOjrah71yPxZLliyFTCaDVqtFVlYOGhsbkJCQiAMH9qGrq8u9XW+vBTU1Ne6CfOnSiwEAkyYVoK+vD0uX9l99LygoRGNjAwDg66+/QmNjA374wzvd+3E6nejs7EBx8Qw888zTsNvtmDlzNmbOnO3eJj4+Aa2tref0vkg6n+3vnw/IZE9Ew2GOPt3kyVPx5puv4ZlnnkZx8UzMmzd/VK87//wLEBcXDwC47LIr8Je//OmM24aHR2DBggvcxxuYf362XA0AmZlZmDgxHwCQn58Pvb7Zfe7z8wvR0FAPANi5czt6enrw+eefAgDsdhsmTJgIAJg5cw4ee+xRXHDBIsyfvxBpaenuY8XFxaOtjTnfV5ijibzLbwryn98084zPqZXysz4fGaE66/Mjsdvt2LJlM1QqNTZv7r+663A4sGnTh7j11tuxatVl2LTpQ8yYMQvZ2TlITk45+UoRjz325yFJYrDw8Aj311u2bMbhwwfx7LMvICJCg1de+Tfq6+v69yKKAIZfXkYURXznO7fjssuuGPF9qNVq2GzfrLn9yCO/wD33/BiLFl0Il8uFZcsWDnl+vFQqtftrmUwGp9MJUXRBEAT861+vuD/gKBQyOByuQa9TAQDkcvmQf/fvo38OnyiKmDdvPn71q0dPO+6FFy7FlCnTsHv3LqxZ8zI2bFiHX//6twAAm80KtVp92muIiOjcMUf7X46eMmUaXnrpVezZ8zU++mgj1qx5Gf/4x4uQy+UQxW9y79n2KYo443sDAJVK6f56tLm6pqb6lM8Jcne+/2Y/TvfxH3jgIcyaNee0/Tz22J9QUnIM+/btxX333YUHH/wfzJ+/wP2emPOJKFiwqRuA7ds/R2ZmNt57byPeeWc93nlnPZ566u/YuHE9AGDVqsuwdetH+PDD97Fq1Wr36xYsWIQ1a/7jTixdXV1n7PxpNpsQHR2DiAgNzGYztmzZ7H5u5szZ+PjjjXA4HLBarfj00y3u5xYuXIT33nvHPRTNZrOhvLxs2GPk5k5AXV3NoGOakZKSCgD48MMPxlyMazQa9PX1jarhTUSEBtOnz8CaNS+7H9PrW9DR0T6mY86dex6+/vorVFVVuh8b6Ejb0FCPuLh4rFq1Gt/97h04fvybTrU1NdWYMGHSmI5FRET+jzl6eE1NjdBotFi2bDnuvffHOHGiFC6XC2lp6e6vLZYefPnl0A7tX375BQwGAwBg06b17tFmGo1m1M1Rz5arx2LhwkV4881XYbX2AQAslh7U1FTD4XCgqakRRUVTcMstt2Hu3PNQXn7C/bra2mr3nXQiokDnN3fIpbRx43pccsnKIY9NmTINLpcLBw/ux+zZs5GdnYsDB/bhkUcec29z//0P4Nln/4rbbrsBgiBAqVThvvseQGpq2mnHWLHiMuzYsR0333wdEhMTMX36DFitVgDAlVdeg4qKMtxyy3XQ6ZKRn98/pLv/dZfCaOzCvff2DwtzuVy46qpvYeLE04vPxYuXYPfuXe7ket99P8HDDz+IhIREFBfPRHR09JjOS1RUNC65ZCW+851vIzIyyt3U7Ux+/evf4q9/fRK33no9gP7k/tBDvx7TEPmMjEz8+te/xeOP/xZWqxUOhx1Tp05HYeFkfPrpFnz88WYolQoIgoD773/A/brdu3fhzjvvHtP7IyIi/8ccPbwDB/bhjTfWQC5XQBRd+OlP/wcymQwXXrgUn366Fbfcch3S0jKQn1845HWzZ8/B73//KJqbG5GRkYV77vkxAGDRoiX4xS9+ittuu3FIU7fhnC1Xj8XNN9+GF198Dt/73q2QyWQABNx++x1ITU3D//3fIzCbTRAEGZKSknDXXfcAAFpamgH0X+AgIgoGgtg/FsurOjrMcLmGHqalpRbJyVnePrRHnDr02hsGuoXabDY89NBPsGTJMqxefeWY9tHTY8bdd38Pzz//MtRq6Tti+uK8AUBtbQ3+9KfH8Pe/D78MSiD9rA1ITIxEW5tJ6jB8ZqBh1JmGtVrW/x4AELH6f866n1A7b57Eczc+/nLeZDIB8fHDz10eCXP0yJij/cc///l3pKen47LLrhz2eV/87PrL772vjJSjRyvUzttf9v8TAPCjmXed875C7dx5ir+ct5FyNO+Q+4n7778bdrsdNpsVs2fPxcqVl415HxqNFvfc8yM0NTUhJyfXC1H6p9bWFjzwwENSh0Hn4O6rpkgdAhHRGTFH+4+EhASsWnW51GGEFOZoIu9iQe4nXnjhPx7Zz0BH81ASiu852ERGqEbeiIhIIszR/uPaa78tdQghhzmayLvY1I2IJPfF4WZ8cbhZ6jCIiIjoFMzRRN7FgpyIJLfzSDN2HmGyJyIi8jfM0UTexYKciIiIiIiISAIsyImIiIiIiIgkwIKciIiIiIiISAIsyE/69NOt+O53b8Rtt92IG2+8Bo888gv3cy+88E/Y7fZzPsaePV/jppuudf/bbDZj8eJ5ePfdt9yPvfbaf/Hb3/7qnI/lCeXlJ/DJJ1ukDoOIiELctdeuxi23XAeXyzXksaqqiiHb3XHHrbjtthuHPCaKIl588TncfPN1+M53bsDNN38Lb7yxZsg23d3duOii8/H00094NG7mUSIiGgmXPQPQ3t6OJ598HC++uAZJSckQRREVFWXu51988Xlcf/3NUCqVY9qvw+GAQvHNKZ42bTqamhrR2dmBuLh4HD58EPn5hThwYB+uueY6AMDBg/uwaNGScR/Dk8rLy/DllzuwdOnFXtk/0YAfXTdd6hCIyM/19vbio482nnEN8KqqSnR2dkKpVOLEiVLk5xcAAD777BPs3bsbL774X6jVathsNjQ2Ngx57ZYtmzB58lRs3foR7r77vjHn+zNhHqVgwBxN5F1+UZDby3bCfmK7V/atzF8E5aQFZ92ms7MdcrkC0dExAABBEDBxYj4A4Ikn/gAA+MEPbocgyPC3vz2Hr77aibfffh0OR/9d8x/+8EeYPXsugP4r9pdddgX27duD1NQ0/M///Np9HLU6DIWFk3HgwD4sXXoJDh7ch2uvvR7//vcLAACn04nDhw/i/vsfxMcfbx71MW666Vb83//9L/r6+uByObFy5WrceOMtQ95jX18ffve736CmpgpyuQKZmVn47W8fBwBs2vQh1q59G06nE1qtFg8++BCio2Pwr3/9ExZLD2677UYUF8/AXXfde8Z9EJ0LtVIudQhEdAZfN+/DV817vLLv+SlzMC9l1qi2vf32O/Hvfz+PZcuWD1swb9jwAVasuBRKpRIbNnzgLsjb2vSIiYmBStW/lrJKpUJOTu4pr12Hu+++H//978v44ottWLJk2Wn7Zx6lUMUcTeRdflGQS23ChEkoKpqMa665FDNmzMK0acVYvnwVoqNj8MADP8d7772Nf/zj34iIiAAAzJt3Hi6+eDkEQUBdXQ3uv/9uvPfeRvf+2tvb8be/PTfssWbMmOUuyA8c2I/rrrsJW7ZsRlVVJWw2KzQaLdLS0qHVakd9jL/85c+YP38BbrvtewD6h96d6uuvv4LJZMKaNW8P2ebQoQP49NMteOaZF6BSqfDVVzvx+98/in/849/43vfuwpdf7sDvfvdHAMC2bZ8Nuw+ic/Xp/v67VRfNTJc4EiLyVwUFhcjPL8R7772D6667YchzDocDH3+8Gf/857+hUChw++034Z57fgyVSoWlS5fj/fffxbe/fRWmT5+BWbPmYOnSS9yjy8rLy9Dd3Y1Zs+ags7MDGzasG7YgZx6lUMUcTeRdflGQKyctGPEutjfJZDL8/vdPoKqqAgcO7MeOHZ/jtdf+i1deeQNRUdGnbd/Y2IBHHvkF2traoFAo0NnZgY6OdsTHJwAAVqy49IzHmjlzNp588g+wWHrQ29uLhIQEFBfPxIED+2C1WjFjxqwxH6O4eAaeeeZp2O12zJw5GzNnzj7tuBMmTERdXQ2eeOIPmDFjFs4/fyEAYOfO7aioKMedd94GoH+unck0/AeEM+2D6FztKWkFwGRP5I/mpcwa9V1sb7vzzh/g3nvvwmWXXTHk8Z07tyMzMwtpaf1/QyZOzMf27Z9h2bLlSEhIwH//+xaOHTuCw4cP4pVX/o2PPtqEJ5/8G4Bv7qwLgoDFi5fgqaf+hLa2ViQm6oYcg3mUQhVzNJF3+UVB7i9ycycgN3cCrrnmOtx887dw4MA+LF580WnbPfLIL3DPPT/GokUXwuVyYdmyhbDZbO7nIyLCz3iMKVOmobm5CZ9//immTu2fkzN9+ky88cYa2GxWXHjh0jEf48ILl2LKlGnYvXsX1qx5GRs2rMOvf/3bIcdNS0vHq6++jb1792DXrp14/vln8J//vAFRBC699HJ873t3jXh+zrQPtVo94muJiIjOVWZmNubPX4A333x1yOMbNqxDTU0Vrr12NQCgr68XGzasw7JlywEACoUC06fPwPTpM3DppZfj8suXo7vbiPDwCGzZshkqlRqbN28A0H+3fdOmD3HrrbcPOQbzKBEReQO7rANoa2vF0aOH3f9ubdWjq8uAlJRUAEBEhAY9PWb382az2f3chx9+MKRQHolarUZR0RS88spL7rvhBQWFOHGiBIcPH3Q/NpZjNDTUIy4uHqtWrcZ3v3sHjh8/dto2ra16yGRyLFp0Ie677wF0dRlgMnVjwYILsHnzBrS26gH0z2MvLS0BAGg0GpjN5hH3QURE5Cu3334n1q59GxaLBQDQ3t6GgwcP4O231+Gdd9bjnXfW4913N6C0tAQtLS0oLS1Bc3OT+/UnTpQiMjIKWm0ktm//HJmZ2XjvvY3u1z711N+xceP6047LPEpERN7AO+ToT54vvvgcWlqaoVaHQRRd+N73foBJk/obwtx448247767oFaH4W9/ew733fcTPPzwg0hISERx8UxER58+rP1sZsyYhZdeegEzZswE0H/lPi0tHQ0N9e4ifCzH+PTTLfj4481QKhUQBAH33//AadtUVlbgn//8OwDA5XLi5ptvQ0JCIhISEnHnnXfjoYd+AqfTBYfDjiVLlqGgoBCzZs3F66+vwXe+cwNmzJiJefPOH3YfREREvqLTJWH58lXupcs2btyA8847HxERGvc2arUaF1ywGJs2rUdR0RQ88cTjsFh6oFSqEBYWht///s+QyWTYuHE9Lrlk5ZD9T5kyDS6XCwcP7kdx8Uz348yjRETkDYIoiqK3D9LRYYbLNfQwLS21SE7O8vahPUKhkMHhcI28IQ3hL+ctkH7WBiQmRqKtzSR1GD7zh1f3AwB+ftPMYZ+3rP89ACBi9f+cdT+hdt48iedufPzlvMlkAuLjteN6LXN0aArW8+aLn11/+b33lZFy9GiF2nn7y/5/AgB+NHPk6SwjCbVz5yn+ct5GytG8Q05EkjvXJE9ERETewRxN5F2cQ05EREREREQkAUkLch+MlqcQx5+xwLD56zps/rpO6jCIaBD+/aRAw59Z72COJvIuyQpymUwOp9Mh1eEpRDidDshkcqnDoBEcqmjHoYp2qcMgopOYoykQ2e02yOWcjelpzNFE3iVZQR4eroXJ1AVRDL6GIuQfRNEFk8mA8PDxNToiIgpVzNEUSERRhM1mRVdXG7TaGKnDISIaE8kuI2q10TAY2qDXNwDw7yFGMpkMLhc/lIyV9OdNgEoVBq12bMvSERGFOubo4Bds500uVyAyMhbh4ZqRNyYi8iOSFeSCICAuTifV4cfEX1rmBxqeNyKiwMQcHfx43oiI/AMn2hCR5JRKLvhARETkj5ijibyLBTkRSe4n1xVLHQIRERENgzmayLt4yYuIiIiIiIhIArxDTkSSW7ezGgBw+YIcAECd3oTNu+vQ0GpGr9WB7ypMiNQo0dfdh7ioMClDJSIiCimn5mgi8izeISciyZXUGFBSY4Clz46/rz2CR17ag4Pl7UiIDkd+ZiwEGdDW1YeHnvsKnx9shCj6d9dnIiKiYDGQo4nIO3iHnIj8gt3pwu9f3Y+WDguuvCAHy2alIyJMCQCwrI+EzeFCgS0Wr2w+gcoGI76zsgAKOa8pEhEREVHgYkFORJKzO12o05ugkMvwo+umY3J23GnbqBQy/OiK6Vi3sxrrdtZAkAn47soCCIIgQcREREShxeF0Ye+JVuwrbUNFkxF9VifC1HJMTI/BeUVJmDExgTmZaBxYkBORpBxOF5rae+B0ifjFLTORlRx5xm1lMgFXXpALUQTWf1mD1HgNVszL9GG0REREoaenz47f/Hs3mjssiNaqMDk7DtpwJbotNpyo68Le0lYUZMbgOysKkBQXIXW4RAGFBTkRSeqdzyvRZ3MiJyXyrMX4YFdckIPmjh68/VkFMpK0w95RJyIionMjiiKMPTa0dFqgiwnHvVdPxfSJCZANuhPudLmw/WAT1m6vwu/X7MNPri9GZtLo8jkRsakbEUnocGUHPt5Tj2Wz0vGr78wZ9etkgoD/d1kRdHER+O/mE7DZnV6MkoiIKPQ4XS68sP44WjotWDgtBb/93jzMmJQ4pBgHALlMhiUz0/HwLbMgl8vwx9cOoKHNLFHURIGHBTkRScLucOG1rWVIiY/AdRdNGPPr1Uo5br1kElq7erHhq1ovREhERBSaRFHEfz8qw67jely9KBffXVkApeLsZUNKvAb/c9NMKBQy/PODY7DyYjnRqLAgJyJJbN1bj1ZDL25YOhHv76jGO59XjnkfhdlxmD85CRt31aK5o8cLURIREYWe9V/WYPuhJlw6Pwt9Nife3VY1qtclxITje5cVoqm9B298Uu7lKImCAwtyIvK5LrMV676sQfGEBEzJjUdloxGVjcZx7eu6iyZCpZSPq6AnIiKioUpqOvHBjmrMn5yEqxfljjlHT8mJx8p5mdh2sAkn6rh+OdFIWJATkc+t31kDh8OF65eOfaj6qaI1KlwyJwMHyttR3TS+op6IiIiAbosNz394HElxEbh1+fiXFr1iYQ5iI9V467MKiKLo4SiJggsLciLyKaPZih2Hm7FgajKSYj2zNMqy2ekIU8nx5tYyj+yPiIgoFL36cRl6eu2464rJUKvk496PSinHVRfkorrZhD2lrR6MkCj4sCAnIp/asrcBTqcLK+dleWyfmjAlls5Kx5eHm9DUzrnkREREY3W0ugN7Sltx2fxsjyxbdv6UZKQnarB2exVcLt4lJzoTFuRE5DOWPgc+O9CAWQU6JMV9c3c8NkqN2Cj1Oe374jkZUCnl2LiLHdeJiIjGwu5w4dUt5dDFhGPleZlDnhtvjpbJBFy+IAethl4cruzwVKhEQUchdQBEFDo+O9CAXqsTl5439O74nasnn/O+oyJUuHhOJjbvqsH1F01AZITqnPdJREQUCj7Z1wB9pwU/vm46lIqhQ9XPJUfPmJSA2Eg1tu6rx8Xn55xrmERBiXfIicgnXC4Rnx1oRGFWLLKSz30o3HBWzM+Gwyli55EWr+yfiIgo2PRaHdi4qxZTcuIwNTfeo/uWy2RYMiMNx2sMqNebPLpvomDBgpyIfOJodQc6u61YMiPttOde21qG1zzQkC0rJQoT0qOx7WAju7oSERGNwpa99TD32nHVotxhnz/XHL2oOBUKuQwffjG6tcyJQg0LciLyiW0HmxAZoUTxxITTnqvXm1GvN3vkOBcWp0Jv6EVpLdc+JSIiOpuePjs+2l2HGRMTkJMSNew255qjoyJUmF2QiG0HGmF3uMa9H6JgxYKciLyuy2zFoYoOLJyaAoXcu392ZufroAlT4PODTV49DhERUaD7dH8jeq1OXHnB8HfHPeW8oiT09NpxtJrN3YhOxYKciLzui8PNcIkiFk1P9fqxVEo55k9JxoHyNlj67F4/HhERUSCyO5z4ZF8DpuTGIUOn9eqxirLjEBmhwtfH9V49DlEgYkFORF4liiK+ONyMgsyYIUudedN5RclwOEXsL2v3yfGIiIgCzVfH9OjusWHF3MyRNz5HCrkMC6an4mBFO6w2p9ePRxRIWJATkVfVtJjQ2tWL+VOSz7hNUlyER4v1nJRIJESHYXcJr8QTERGdyiWK+Gh3HTKTtCjMij3rtp7K0YtmpMFmd+FARds574somHAdciLyqq+P6yGXCZg1KfGM29y2ssCjxxQEAfOKkrBpVx26LTZEcU1yIiIit5JaA5o7LPjeZYUQBOGs23oqR0/OiUeMVoV9J9pwXtGZL9IThRreIScir3GJIvaUtmJqbjwiwpQ+PfbcwiS4RBH7TvBKPBER0WDbDjRCG67EnAKdz44pkwmYlpeAY9WdcDjZbZ1oAAtyIvKa8vouGExWzCtKOut2L28qxcubSj167PREDVLiI7CHw9aJiIjcusxWHChvx8KpKVAq5CNu78kcPT0vHn02J8rruzyyP6JgwIKciLxmd0krVEoZiiecvvb4YPpOC/SdFo8eWxAEzCtMwom6LhjNVo/um4iIKFDtONwMp0vE4uLRrXziyRxdmB0LhVzAoUouf0Y0gAU5EXmF0+XC3hOtKJ6QALVq5Cvw3jBjUiJEgImfiIgI/VPJdhxqQmFWrM9WPhksTKVAQWYs8zLRICzIicgrKhqMMFnsmJ3vu/lpp0pP1CA+So1DFVz+jIiIqLy+C+3GPlwwLUWyGKblxfffdTd4dmQcUaBiQU5EXnGgvB0KuYDJOXGSxSAIAqZNSMCxmk7YHVz3lIiIQtvOoy1Qq+SYcZaVT7xt2slpbEd4l5wIAAtyIvICURRxsLwdhVlxCFePvLpiRpIWGUlar8RSPCEBNrsLJbVdXtk/ERFRILDandhb2oo5+TqolaOfSubpHK2LCUdCdBhK67o8tk+iQMZ1yInI45rae9Da1Yvl8zJHtf2NyyZ5LZaCzBiolXIcqmjHtLx4rx2HiIjInx0ob0OfzYnzp4xtDXBv5OiCrFgcKGuDSxQhG2EddKJgxzvkRORxB8r752yP1F3dF5QKOYqyY3Gosh2iKEodDhERkSR2HdMjPkqNSZkxUoeCwsxY9PQ5UK83Sx0KkeRYkBORxx2saEdOSiRiI9Wj2v759cfw/PpjXotn+oQEdHZbUd/KxE9ERKGnp8+OY9WdmFOYNOY70t7I0QVZsQCAklqDR/dLFIhYkBORR3WZrahq6h7T3XFDtxWGbu+tFT41t3+o+vEaJn4iIgo9+8va4HSJmFMw9pVPvJGjYyPVSIqLQGkd8zIRC3Ii8qgjVf1dU6f7wXD1AbGRaqQmaHCsplPqUIiIiHxuT0krEqLDkJ0cKXUoboWZMSir74LT5ZI6FCJJsSAnIo86Vt2JaI0KGTrvdE0fr6KsWJTXd3H5MyIiCinmXjuO1xgwp1AHwY8aqBVkxaLP5kRNi0nqUIgkxYKciDzG5RJxrLoTU3Li/CrpA0BRdhxsDhcqGrulDoWIiMhn9p/sZj63IEnqUIaYmB4DAKhsMEobCJHEWJATkcdUt3Sjp8+BKbljW14sLy0aeWnRXoqqX35mDGSCgOMctk5ERCFkf1kbEqLDkDnOtcS9laNjI9VIiA5DeSMLcgptXIeciDzmaFUnBACTc+LG9LprL8zzTkCDhKsVyE2LwvEaA65Z7PXDERERSa7X6sDxGgOWzEgb98g1b+boCWnRKKk1QBRFvxtZR+QrvENORB5ztLoD2SlR0IYrpQ5lWEVZsahp6UZPn13qUIiIiLzuWHUnHE4XZk7yn0arg01Ij4axx4Z2Y5/UoRBJhgU5EXlET58dVU3dmDLGu+MA8MzaI3hm7REvRDVUUXYcRBEo5bqnREQUAg6Ut0ETpsCE9PEPOfdmjp5wcih8BYetUwhjQU5EHnG8xgBRBKbkjr0gN/faYe71/l3r3NQoqJQylNZ1ef1YREREUnI4XThU0YHiCQmQy8b/kd+bOTo9UYswlRwVbOxGIYwFORF5RElNJ8JUcuSmRkkdyhkp5DLkpUajvL5L6lCIiIi8qry+CxarAzMmJUodyhnJZALyUqN4h5xCGgtyIvKIkloD8jNizukqvC/kZ8SgvtUMC+eRExFREDtU2QGFXEBRdqzUoZxVXlo0GtrM6LU6pA6FSBL+/cmZiAJCZ3cf9IZeFGaPfbi6r03KiIEIoJzD44iIKIgdqepAfmYswlT+vahSbmo0RBGobTFJHQqRJFiQE9E5KznZJK0wa3xX4QuzY1Hooyv4ualRkMsElHHYOhERBam2rl40d1gwNTf+nPfl7RydkxIJAKhu6fbaMYj8mX9fMiOigFBSa4A2XIm0RM24Xn/5ghwPR3RmKqUcOSlRKGvo8tkxiYiIfOlIVQcAYFreuRfk3s7RkREqJMaEobqJBTmFJt4hJ6JzIooiSmoNKMyKhUwQpA5nVCZlxKCm2QSr3Sl1KERERB53uLIDuphwJMWGSx3KqOSkRKG6mQU5hSYW5ER0TloNvTCYrOMerg4AT751EE++ddBzQY1gUkYMnC4RVezqSkREQcbucKK01oCpefEQPHCh3Bc5OiclCh3dVhh7bF49DpE/YkFOROfk+DnOHwcAu90Fu93lqZBGNCEtGgKAE5xHTkREQaas3gibw4WpuZ5ptOqLHJ2T0r9kKu+SUyhiQU5E5+REnQGxkWroAmRYHABEhCmQrtOiknfIiYgoyByr6YRCLiA/w7+XOxssKykSggDOI6eQxIKciMZNFEWU1XdhUkaMR4bF+VJeWjSqmrvhEkWpQyEiIvKY49WdmJAWDbVKLnUoo6ZWyZGWoGWndQpJLMiJaNzajH3oMtswKT1a6lDGLC81Cr1WJ5rae6QOhYiIyCO6e2yoazWjMNszw9V9KSclEjXNJoi8UE4hhgU5EY1b+ck52BMzYs5pP9MnJGD6hIRzD2gMJqT1X0So4vA4IiIKEsdrOwEAkz1YkPsqR2cmRcLca4fBZPX6sYj8CdchJ6JxK6vvgiZMgdSE8a0/PmDFvEwPRTR6uthwaMOVqGg0YtH0VJ8fn4iIyNOOVxugCVMgOznSY/v0VY7OOhlzrd6EuKgwnxyTyB/wDjkRjVtZgxET02MCZv3xwQRBQG5qFBu7ERFRUBBFEcdqOlGQFQuZLPDyckaiFgKA2haT1KEQ+RQLciIaF2OPDfpOCyZmnPv88T+8uh9/eHW/B6Iam7y0aDR3WGDps/v82ERERJ7U2tULg8mKonNYhnQ4vsrRapUcyfERqNObvX4sIn/CgpyIxmVg/vik9BhJ4zgXean9655yHjkREQW60loDAKDAwwW5L2UlRaKulXfIKbSwICeicSmr74JKIXPP+QpEOSlREASggsPWiYgowJXWdSFao0JyXITUoYxbZlIkOrutMFlsUodC5DMsyIloXMoaupCbGgWFPHD/jISrFUhL0KKSd8iJiCiAiaKI0joD8jNjIARgX5cBWUlaAOCwdQopgftJmogk02t1oL7VjEnnuNyZP8hNjUJNczfXPSUiooDV0mmB0WwL6OHqAJCR9E2ndaJQwWXPiGjMKhqNEMVzX398wJxCnUf2Mx7ZKZHYfqgJbV290MUG7jA/IiIKXSfqugAABZmeL8h9maO14UokRIehjgU5hRAW5EQ0ZmX1XZAJgrsp2rm6aGa6R/YzHjnJ/e+hutnEgpyIiAJSaZ0BMVoVkmLDPb5vX+fozKRI1HLIOoUQDlknojErr+9CVrIWYSrPXNOz2p2w2p0e2ddYpSVqoFTIUNPCeeRERBR4RFFEWX0XJmV4Z/64r3N0VpIW+k4Leq0Onx2TSEosyIloTOwOF6qaTZjoweXO/vLWIfzlrUMe299YKOQyZOq0qG7m8DgiIgo8HcY+dJltHs3Lg/k6R2eenEde38q75BQaWJAT0ZhUN3fD4XQFRUO3AdkpUahtMcHlYmM3IiIKLOUnl+6cmB4tcSSekcnGbhRiWJAT0ZiUN3QBCJ7EDwA5KZGw2p1o7uiROhQiIqIxqWgwQq2SIy1RI3UoHhGjVSFKo2JjNwoZLMiJaEzK6o1IiY9AZIRK6lA8JntQYzciIqJAUt5gRF5qFOSy4PhYLwgCMpO0XIucQkZw/OYSkU+4RBEVjUavzVOTSnJ8BMJUclSzsRsREQWQXqsDjW1mTEgLnlFrAJCVFImm9h7YHS6pQyHyOi57RkSj1tzeg16rw+OJf8HUFI/ub6xkgoDs5EjU8A45EREFkMomI0TAqxfKpcjRWUmRcLpENLab3aPYiIIVC3IiGrXKpv47yHlpnk2OC6dJW5AD/Y3dtu6th8PpgkLOwUNEROT/KhqMEAQgN9V7RasUOTozSQsAqG0xsSCnoMdPnUQ0ahWNRmjCFEiOi/Dofk0WG0wWm0f3OVaZSVo4nCKaOyySxkFERDRa5Q1GpCdqEa723j02KXJ0Ykw4wtVyziOnkMCCnIhGraqpG3lp0RAEwaP7ffa9o3j2vaMe3edYZZ1cZoVdXYmIKBA4XS5UNXVjgpdXPZEiRwuCgIxELdcip5DAgpyIRsXSZ0dTe49Xh8VJKSk2AiqljOueEhFRQGho7YHV7sTEIGvoNiAjKRL1rWa4RFHqUIi8igU5EY1KlXv+eHAmfplMQIaOy6wQEVFgqGg0AoDX75BLJVOnhdXuRJuhV+pQiLyKBTkRjUpFoxECgNyU4LxDDgCZSZGobzXxajwREfm98oYuxEaqER8VJnUoXpF5cioZh61TsGNBTkSjUtXUjbREjVcbx0gtKykSvVYn2rt4NZ6IiPxbRaPRK31d/EVqQgTkMgF1rZxKRsEteD9ZE5HHuEQRlU3dmFOg88r+l8xM88p+x2pgmZU6vRm6WM92kiciIvKUzu4+dHZbsXyO94erS5WjlQo5kuMjOJWMgh4LciIaUXOHBb1Wh8fXHx8wtzDJK/sdq7QEDeQyAbV6E2Z76eIDERHRufLl/HEpc3SmTovSui7Jjk/kCxyyTkQjqhxI/F5q6NZ/pb/PK/seC6VCjhRejSciIj9X1dQNpUKGDJ3W68eSMkdn6CJhMFl9vg46kS+xICeiEVU1GaEJUyApzjvDuF9YfxwvrD/ulX2PVWZSJNciJyIiv1bd3I3MJC0Ucu9/lJcyRw9MJWNjNwpmLMiJaESVjd3ISY2CLEgbxwyWmRQJY48NRrNV6lCIiIhO43S5UKs3ITs5eFc9GTAwAoAj1yiYsSAnorOy9DnQ1N6DCanBuc7pqbJOXo2vZfInIiI/1Nxugc3uQk5KpNSheF1khAqxkWrUs9M6BTEW5ER0VtXN3RAB5Hlp/ri/ydD1f8DhsHUiIvJH1c3dAICclOC/Qw703yWv45B1CmIsyInorCobjRAQOok/IkyBxJgwFuREROSXqltMCFfLvdbXxd9kJmnR0mGB3eGUOhQir+CyZ0R0VhVNRqQmaBAR5r0/F8vnZnpt3+ORmRTJq/FEROSXapq7kZUU6bO+LlLn6ExdJJwuEU3tFmQlB/8wfQo9vENORGfkEkVUNXZ7bf3xAcUTE1A8McGrxxiLzKRItBp60Wt1SB0KERGRm93hQn2r2aej1qTO0d80duPINQpOLMiJ6Iz0nRZYrA7kebmhW3NHD5o7erx6jLHI4jIrRETkhxrazHC6RJ8W5FLn6MTYcKiVco5co6DFgpyIzqii0QjA+w3dXtl8Aq9sPuHVY4xFZlL/kLhaXo0nIiI/MtDQLduHQ7elztEyQUCGTot65mQKUizIieiMKhu7EaFWIDk+NBrHDIjRqhGlUXF4HBER+ZXq5m5ow5WIjw6TOhSfykjSor7NDFEUpQ6FyONYkBPRGVU2GZGbGuWzxjH+JDNJizquRU5ERH6kptmEnJQoCCGWlzN0WvRanWg39kkdCpHHsSAnomH1Wh1oausJmfXHT5WVFImm9h7YHS6pQyEiIkKfzYGmjh7kpIRep/FMXf975oVyCkYsyIloWFXN3RABr3dY91cZOu3JZVb8p9kcERGFrjq9GaIIZPuwoZu/SEvUQBCA+lZOJaPgw3XIiWhYlScbuuX6IPFftiDb68cYq6ykgavxJq57SkREkhto6ObLDuuAf+RotVKO5LgI3iGnoMSCnIiGVdnYjdQEDSLClF4/1uTsOK8fY6wGllnh0mdEROQPqpu7ERelRrRG5dPj+kuOzkyKREWDUeowiDyOQ9aJ6DSiKKKqyYi8VN9cha/Tm/yuo7lMEJCeqGFBTkREfqGm2YScZN8PV/eXHJ2h06Kjuw89fXapQyHyKBbkRHSalk4LevocPmvo9vrWcry+tdwnxxqLDJ0W9a1cZoWIiKTV02dHa1cvsiVo6OYvOTpTpwUA1HPYOgUZFuREdJrKxv55ar66Q+6vMnRaWKwOGExWqUMhIqIQNlCEDvQ3CUUZA71dOHKNggwLciI6TWWTEeFqBVISNFKHIqn0k1fjmfyJiEhKA3koI4QL8miNCtEaFer9YPg8kSexICei01Q2diM3NQoyQZA6FEmlJ54cHseCnIiIJFSvN7kL0lCWkaRlTqagw4KciIbotTrQ2G4O+eHqABCuViAxJozJn4iIJFXfakbGyVFboSxDp0Vjew8cTpfUoRB5DJc9I6Ihqpu7IYrwWUM3ALhmcZ7PjjVWGbpIFuRERCQZh9OFxvYeTM6VZvkxf8rRmbpIOF0imtp7kBnCw/cpuLAgJ6IhKhv71/jM9eEd8gnpviv+xypDp8WBsjZYbU6oVXKpwyEiohDT1N4Dp0tEpk6aAtSfcnRm0jdTyViQU7DgkHUiGqKyqRsp8RHQhCl9dsyKBiMqGow+O95YZOi0EAE0tPMuORER+d7AKK2BYtTX/ClHJ8VGQKWQoY5Ln1EQYUFORG6iKKKqqdunw9UB4N1tlXh3W6VPjzlaA3P2OGydiIikUKc3Q6WQISk2QpLj+1OOlskEpCVqUd/KTusUPFiQE5Gb3tALc6+dDd0GSYgOQ5hKjgYW5EREJIH6VhPSdVrIZKG98smAzJOd1kVRlDoUIo9gQU5EbgPzx319h9yfCYKAdB2XWSEiIt8TRZEd1k+RqdOip8+Bzm6r1KEQeQQLciJyq2zqRrhajtQEjdSh+JUMnRYNbbwaT0REvtXZbUVPnwOZLMjdMk42c6vjsHUKEizIicitstGI3JQoyAQOixssQ6dFr9WJdmOf1KEQEVEIGSg6M9hR3C09UQMBQD0bu1GQ4LJnRAQA6LU60NBmxurzs31+7BuWTfT5McdicGO3xJhwiaMhIqJQUa83Q0B/ESoVf8vRYSoFdLHhnEpGQYMFOREBAKqbuyGKwAQJ5o/7+1qi6Qna/qvxrWbMnJQodThERBQi6lrN0MVFIEwl3Ud2f8zRmUmRqGrqljoMIo/gkHUiAvBNQ7dcCTqsH6vpxLGaTp8fd7TUKjl0cRG8Gk9ERD5V32qSfP64P+bo7JRIdHT3wWSxSR0K0TkbdUH+ySefwOFweDMWIpJQRWM3UhM0iAhT+vzYH+6swYc7a3x+3LHI0HHdUyIi8h1LnwNtXX2Sd1j3xxydndx/86C2hXmZAt+oC/Knn34aCxcuxKOPPopDhw55MyYi8jGXKKKqycj1x88iQ6dFW1cfeq28MElERN7X0NY/KisziR3WT5V1chh9NQtyCgKjLsjXrVuHl19+GWq1Gvfeey+WL1+OZ599Fg0NDd6Mj4h8QN9pQU+fQ5L544EiI7H/A1FjW4/EkRARUSio05/ssK7zvzncUosIUyApLgI1zZxHToFvTHPICwoK8POf/xzbtm3Db37zG2zevBkXX3wxbrrpJqxbtw4ul8tbcRKRF1WcnD+ex4L8jL7ptM6r8URE5H11rWZERigRo1VJHYpfykmORA3vkFMQGHPLxrq6Oqxbtw7r1q2DIAi47777kJKSgldffRUff/wx/v73v3sjTiLyospGIyLUCiTHR0gdit+Ki1IjQq1gYzciIvKJer0ZmTotBEGQOhS/lJ0ciV3H9TCarYjWqqUOh2jcRl2Qv/rqq/jggw9QW1uLlStX4o9//COKi4vdzy9fvhznn3++N2IkIi+rbOxGXlo0ZBIl/VtX5Ety3LEQBOFkYzcW5ERE5F0OpwuN7T1YNjtd6lD8Nkdnp/T3valpMWH6BBbkFLhGXZBv374d3/3ud7F06VKoVKcPnQkPD8ff/vY3jwZHRN5n6XOgqb0Hcwp1ksWQEq+R7NhjkaHTYsfhZrhEUbKLF0REFPxaOi1wOF2Sd1gH/DdHZyZpIWCgIE+QOhyicRv1HPK5c+di5cqVpxXjL730kvvrhQsXei4yIvKJqmYjREg7f/xgeTsOlrdLdvzRytBpYbU70WbolToUIiIKYvX6kx3W/aAg99ccHaZSICVBw8ZuFPBGXZA/88wzwz7+j3/8w2PBEJHvVTQYIQhAbop0S559tLsOH+2uk+z4o5WRNNDYjcPWiYjIe+paTVDIZX7R28Wfc3T2ycZuoihKHQrRuI04ZP2rr74CADidTuzatWvID3xDQwM0Gv8cxkJEo1PZ1I20BC3C1WPu8RhyUuM1EIT+zrezC6Qb4k9ERMGtTm9GeqIGctmYFkQKOdnJkfjyaAu6zDbERnIeOQWmET+B/+IXvwAA2Gw2PPzww+7HBUFAYmIifvnLX3ovOiLyKpcooqrJiHmFSVKHEhBUSjmS4yLQwDvkRETkJaIoor7VjJmTOC96JO7Gbs3diI1MlDgaovEZsSD/9NNPAQA/+9nP8Mc//tHrARGR7zS196DX6uT642OQodOispHz1YiIyDu6zDaYe+3I0EVKHYrfy9BpIRMEVLeYMGMSC3IKTKMeB8NinCj4VDYaAQATWJCPWoZOi47uPlj67FKHQkREQahObwIAv+iw7u/USjlSEzSoaeGFcgpcZ71DvnLlSmzatAkAsHjxYghnWObn888/93hgROR9lY3d0IYroYsNlzSOO1YXSXr8sRi4Y1HfakZ+ZqzE0RARUbCpOzktyl8Kcn/P0dkpkThY3g5RFM9YqxD5s7MW5L/97W/dX//pT3/yejBE5FuVTUbkpUZJnsDiosIkPf5YDHxAYkFORETeUK83QRcT7jfNVv09R+ckR+KLw83o6O5DQrS0NxiIxuOsv+mzZ892fz137lyvB0NEvmPutaO5w4LzpyRLHQp2l+gBAHMDoLlcjFYFbbiSS58REZFX1LWa3cts+gN/z9HfNHYzsSCngDTqOeQvvfQSSkpKAAAHDx7EhRdeiKVLl+LAgQNeC46IvKeqqX/+eF6q9PPHP9vfiM/2N0odxqgIgoAMnZYFOREReVyv1YE2Qy8y/WS4OuD/OTo9UQuFXEBVM+eRU2AadUH+8ssvIz09HQDwxBNP4LbbbsNdd92Fxx57zGvBEZH3VDR2QyYIyDl5ZZlGL0OnRWN7D5wul9ShEBFREGls64EIICOJHdZHS6mQITs5ChUnG9USBZpRF+QmkwmRkZEwm804ceIEbrnlFnzrW99CdXW1N+MjIi+pbDQiXaeBWiWXOpSAk6HTwu5wodXQK3UoREQUROpa+zus+9Md8kAwIS0aNc0m2B28UE6BZ9QFeUpKCvbv34+NGzdi9uzZkMvlMJvNkMv5YZ4o0LhcIqqau7nc2TgNbuxGRETkKXV6MzRhCsRGqqUOJaDkpUXD4XS5l4wjCiSjbt/4s5/9DPfddx9UKhX++te/AgA+++wzTJ061WvBEZF3NLSZYbU5kceCfFxS4jWQywTUt5r9tskNEREFnvpWEzKTIiVf/STQTEjrn35X0WjkZxsKOKMuyBcvXowvvvhiyGMrVqzAihUrPB4UEXlXZVN/4xN/SVp3XzVF6hDGRKmQISU+gnfIiYjIY5wuFxraerBkRprUoQwRCDk6WqtGYkwYKhqNWC51MERjNKYFDk0mE6qrq9HT0zPk8fnz53s0KCLyrspGI6I0KiRG+8faopERKqlDGLMMnRaldV1Sh0FEREFC39kLu8OFTD9a8gwInBw9IS0ax2sMEEWRIwwooIy6IF+7di0effRRREREICzsmw/xgiDgk08+8UpwROQdFY1G5KVG+U3C+uJwMwBg4bQUiSMZvQxdJL46poe51w5tuFLqcIiIKMB909DNvzqsB0qOnpAWja+O6dFh7ENCDNcjp8Ax6oL8qaeewtNPP43Fixd7Mx4i8rJuiw2thl4snp4qdShuO48ERrIfzN3YTW9CYXacxNEQEVGgq9eboZALSI6PkDqUIQIlRw9Mw6toNLIgp4Ay6i7rTqcTCxcu9GYsROQDlQ3963T6y/zxQJXOTutERORBda1mpCZooJCP+uM5DZKeqIVaJed65BRwRv0bf8cdd+Af//gHXC6u70cUyMobjFDIZchJiZI6lIAWrVEhSqNCfRsLciIiOnf1epPfDVcPJDKZgLzUKBbkFHBGPWT95ZdfRnt7O/71r38hJiZmyHOff/65h8MiIm8pb+hCTkoklApegT9XGTot75ATEdE5M5qt6LbYkeFnDd0CzYS0aKz/sgZ9NgfCVGPqXU0kmVH/pP7pT3/yZhxE5ANWuxM1LSYsn5spdShBIUOnxda99XA4XRxiSERE41Z38uJupo4F+bmYkBYNUQSqm7rZ34UCxqgL8rlz53ozDiLygZrmbjhdIiam+9f88R9dN13qEMYlQ6eFwymipdOC9ER+iCIiovGp0/d3WM/wwyHrgZSjc1OjIKC/sRsLcgoUo76lY7PZ8NRTT2Hp0qWYNWsWAOCLL77AmjVrvBYcEXlW2cmGbhP8rCBXK+VQK+VShzFmGWzsRkREHlDfakZCdBgiwvxvmHUg5eiIMCVSEzWoaOyWOhSiURt1Qf7YY4+hrKwMf/7zn91rF0+cOBGvv/6614IjIs8qr+9CWqIGmjD/Wjf70/0N+HR/g9RhjFlyXAQUcoEFORERnZM6vdl9kdffBFqOnpAWjcpGI1yiKHUoRKMy6oJ869ateOKJJzBjxgzIZP0vS0pKgl6v91pwROQ5LpeIikYjJqbHSB3KafaUtGJPSavUYYyZQi5DaoKGBTkREY2b1eaEvtOCzCT/G64OBF6OnpAWDYvVgaa2HqlDIRqVURfkSqUSTqdzyGOdnZ2ndVwnIv/U0GZGn83pd/PHA11GIjutExHR+DW0mSECfnuHPNDkZ8YAAErrDNIGQjRKoy7IV6xYgZ///Oeor68HALS2tuLRRx/FpZde6rXgiMhzyk/OH2dB7lkZOi26e2ww9tikDoWIiALQQEO3TC555hEJ0eFIiA7DibouqUMhGpVRF+Q//vGPkZ6ejssvvxzd3d1Yvnw5EhMT8cMf/tCb8RGRh5Q3dCE2Uo34qDCpQwkqA3c0GniXnIiIxqFWb4YmTMH87EEFmbE4Ud/FeeQUEEbdyrGurg65ubn4/ve/D6fTiWXLliE/P9+bsRGRh4iiiLL6LkzKiHE3ZSTPyDg556++1YzJOVxihYiIxqZOb0JmUiTzswflZ8bgiyPNaGrrQTqnApCfG7EgF0URDz/8MN5//30kJydDp9NBr9fjmWeewRVXXIHHHnuMf0CI/FyHsQ9dZptfNnQDgJ/fNFPqEMZNG65EbKQa9a0mqUMhIqIA43C60NDWg6Wz0qQO5YwCMUcPnkfOgpz83YgF+Ztvvondu3fjzTffxLRp09yPHz58GA888ADeeOMN3HDDDV4NkojODeePe1eGjo3diIho7Fo6LXA4XX7bYT1QDZ5Hvmx2htThEJ3ViHPIP/jgA/zyl78cUowDwLRp0/Dwww/jgw8+8FpwROQZ5Q1dCFfLkZ7on1eJN39dh81f10kdxrhl6LRo7rDA7nBJHQoREQWQbxq6+W9BHqg5uiAzFqV1Bs4jJ783YkFeWVmJOXPmDPvcnDlzUFlZ6fGgiMizyhuMyEuLhkzmn9NLDlW041BFu9RhjFuGTgunS0RzB9c8JSKi0avTm6FSyJASFyF1KGcUqDm6MDsWPX0O90UPIn81YkHudDqh1Q5/V02r1cLl4h0hIn9m7rWjsb3Hb+ePB4OBkQcctk5ERGNRpzchLVHrtxfMA1lRdn+j1eM1XI+c/NuIc8gdDgd27doF8QzDPZxOp8eDIiLPqWjsnz8+ifPHvSYpLhxKhYwFORERjZooiqjTmzG3UCd1KEEpWqNCeqIGx6o7seq8LKnDITqjEQvy+Ph4PPzww2d8Pi6Oy/wQ+bPyhi7IZQKyU6KkDiVoyWUypCVoWJATEdGotRv7YLE6/Hr+eKAryo7Dp/sbYbM7oVLKpQ6HaFgjFuSffvqpL+IgIi8pbzAiOzkSaj9ORErliLNn/F6GTosD5e0QRZFLQRIR0YgCoaEbENg5uig7Dh/vqUd5gxGTc3gTkfzTiAU5EQUuu8OJmuZuLJvl30t+/OS6YqlDOGcZOi12HG5Gl9mG2Ei11OEQEZGfq9WbIRMEpCdqpA7lrAI5R+dnxEAhF3CsppMFOfmtwL3kRUQjqm42weEUMTGD88e9LUPHxm5ERDR6dXoTUuIjOJTai9QqOSakReNoVafUoRCdEQtyoiBW3tAFAJiQ5t8F+bqd1Vi3s1rqMM7JNwU5l1chIqKR1beakZE0/EpG/iTQc/TUvHg0tJlhMFmlDoVoWCzIiYJYeYMRKfERiIxQSR3KWZXUGFAS4MuSRIQpER8VxjvkREQ0om6LDQaTFZk6/54/DgR+jp6aGw8AOFLVIXEkRMNjQU4UpFyiiIoGI9cf96EMnZYFORERjWigoVtWANwhD3RpCRrERalxuJIFOfknFuREQaqpvQcWqwMTuf64z6TrtGjptMBmd0odChER+bE6ff/F2ww/77AeDARBwNTceByv6YTD6ZI6HKLTsCAnClLlDUYAwMSMGGkDCSGZOi1EEWjq6JE6FCIi8mN1ehPio8KgDVdKHUpImJYbjz6b0/3ZiMifsCAnClLl9V2I1qiQGB0mdSgj0oYrg+JDyUBznoE7H0RERMOpbTEhM0CGqwdDji7MjoVCLuBwZbvUoRCdhuuQEwUhURRxor4LkzJiIAiC1OGM6IdXT5U6BI9IjAlHuFqBmhYTFk2XOhoiIvJHlj479IZeLJiaInUooxIMOTpMpUBBZiwOlrfjuiUTAuKzEYUO3iEnCkJtXb0wmKzIz4yROpSQIhMEZCdHoqa5W+pQiIjIT1W39Dd0y0mJkjiS0DJjYgL0hl40d1ikDoVoCBbkREHoRF0XACA/QOaPv/N5Jd75vFLqMDwiOzkS9a1m2B1sHENERKerbuq/aJudEhgN3YIlRxdPTAQAHChvkzgSoqFYkBMFoRP1XdCGK5GaoJE6lFGpbDSisjE4Gq1kp0TB6RLR2M555EREdLrq5m4kxYZDExYY87KDJUfHRqqRnRyJg+WcR07+hQU5URA6UdeF/ACZPx5sspP773jUNJskjoSIiPxRTYuJw9UlMmNiAqqaumE0W6UOhciNBTlRkGk39qKjuw+TOH9cEgnRYdCEKVDTwnnkREQ0lMFkhcFkRTYLcknMmJgIEcB+3iUnP8KCnCjIlNV3AQic+ePBRhAEZKdE8Q45ERGdZqDpZy4LckmkJWqQEh+BPSV6qUMhcmNBThRkTtR1QROmQLouMNY3BYDYKDVio9RSh+Ex2cmRaGzvgd3hlDoUIiLyI9Ut3ZAJAjICZA1yILhytCAImFOgw4m6LnRx2Dr5Ca5DThRkTtR3YWJ6DGQBNH/8ztWTpQ7Bo7KT+xu71bf2IDeVd0GIiKhfdbMJaYkaqJVyqUMZtWDL0XMLk7BuZw32lrZi2ewMqcMh4h1yomBiMFnRaujl+uMSczd24zxyIiI6SRRF1DR3IydAljsLVqkJGqQnarG7pFXqUIgAsCAnCion6g0AEHAF+Wtby/Da1jKpw/CYuCg1oiKUqGpiQU5ERP1au3rR0+cIuA7rwZajAWBuoQ4VjUZ0GPukDoWIBTlRMCmr60KYSo6MAJo/DgD1ejPq9cGzbrcgCMhNjWZBTkREbtUnG7oFWkEebDka6C/IAWBPKe+Sk/RYkBMFkYH543IZf7WllpMahZZOC3r67FKHQkREfqCm2QSlQobUBI3UoYQ8XWwEspMjsZvd1skP8FM7UZAw9tjQ3GEJuOHqwSrvZDO3gTsiREQU2qqau5GVFAmFnB+//cHcwiTUtJigN1ikDoVCHP8iEAUJrj/uX3JSoiAAqGpkQU5EFOqcLhfqWkzIZkM3v+Eets7mbiQxFuREQeJEnQFqpRxZyYGX7JPiIpAUFyF1GB4VrlYgNUGDKt4hJyIKeU3tFtgcroCbPw4EZ44GgLioMExIi+awdZIc1yEnChIn6rswIS0qIIfC3bayQOoQvCInNQoHy9shiiKEAFoXnoiIPGtg+lJuABbkwZqjAWBeURJe3VKG2hZTQN7QoOAQeJ/cieg05l47Gtt6MCkzVupQaJDc1CiYe+1o7eqVOhQiIpJQZaMRmjAFEmPDpQ6FBplXlASFXMAXR5qlDoVCGAtyoiAQ6PPHX95Uipc3lUodhsflpUYD4DxyIqJQV9FoxIS0aMgCcLRUsOZoANCGKzFzUiJ2HWuB3eGUOhwKUSzIiYLAibouKBWygJybBgD6Tgv0ncHX5TQtQQO1Us71yImIQpi5147mDgsmpEdLHcq4BGuOHrBwWgp6+hw4UN4udSgUoliQEwWBE/UG5KVGQangr7Q/kckE5KREoqLRKHUoREQkkYEcMCEtMAvyYFeUFYe4KDW+OMxh6yQNfnonCnCWPjvq9Wbkc/64X5qQHoO6VhN6rQ6pQyEiIglUNBghlwkBO4ot2MlkAhZMScGx6k50dvdJHQ6FIBbkRAGurMEIEYE7fzzYTUqPhiiCy58REYWoikYjMpMioVLKpQ6FzmDBtBSIAHayuRtJgAU5UYArq+uCQi4gNzVwr7xnJGmRkaSVOgyvyEuLhiD03yEhIqLQ4nC6UN3cjYkBOn8cCO4cPUAXE46CzBh8caQZLlGUOhwKMVyHnCjAnag3IDclKqCvvN+4bJLUIXhNuFqB9EQtyhu6pA6FiIh8rFZvgt3hCuj548Gcowe7YFoqXvjwOMrqulCQxWmA5Du8Q04UwHqtDtS2mLn+uJ+bmB6NysZuOF0uqUMhIiIfGliWNJDvkIeKmfmJCFfLsf1wk9ShUIhhQU4UwMobjHCJIvIzY6QO5Zw8v/4Ynl9/TOowvGZiegysdifqW81Sh0JERD50oq4LyXERiNaqpQ5l3II9Rw9QK+U4b3Iy9pa2wdxrlzocCiEsyIkCWGmdAQq5ENBD4QDA0G2FodsqdRheM3BnpJzzyImIQobLJaK8oSvgL5oHe44e7MLiNDicLjZ3I59iQU4UwEpqDchNjYY6gOePh4K4qDDER4WxICciCiH9S146A74gDyUZOi3y0qKw7WATRDZ3Ix9hQU4UoHr67KjTm1DIxiMBYWJGNMrru5jgiYhCxIm6LgBAfgbzdCC5sDgNLZ0W9/ePyNtYkBMFqLK6LogiWJAHiPyMGBh7bGjptEgdChER+cCJui7oYsMRGxm488dD0ZwCHSLUCnx+sFHqUChEcNkzogBVUmuASiFDTkrgrj8+IC/A58CPxsCFk5JaA1LiNRJHQ0RE3uRyiSir78Ks/ESpQzlnoZCjB1Mp5Th/SjI+O9CI7h4bojQqqUOiIMc75EQBqrTOgInp0VAqAv/X+NoL83DthXlSh+FViTHhiItSo7TWIHUoRETkZfWtZlisDhQEwbKkoZCjT7V4RhqcLpHN3cgnAv+TPFEI6rbY0NDWgwIOVw8YgiCgIDMWpXVdcHEeORFRUDtW0wkAKMpmng5EaQkaTEqPxraDTczZ5HUsyIkC0ECjkWApyJ9ZewTPrD0idRheV5AZC3OvHU1tPVKHQkREXnSsuhPpiZqAXn98QKjk6FMtnpGG1q5elHBkG3kZC3KiAFRSa0CYSo7s5EipQ/EIc68d5l671GF4XUFWDACgpI7JnYgoWNnsTpQ3GFGUHSd1KB4RKjn6VLPzE6ENV+LzA2zuRt7FgpwoAJXWGjApIwZyGX+FA0lCdDgSY8I4j5yIKIiVNxjhcLqCpiAPVUqFHAumJuNgeTuMZqvU4VAQ46d5ogBjMFnR0mnhcmcBqiAzFifquuBycU4aEVEwOlbTCYVcQH5GjNSh0DlaXNzf3G3HYTZ3I+9hQU4UYAburgZD59ZQVJgdC4vVgZoWk9ShEBGRFxyv7sSEtGioVXKpQ6FzlBwXgYLMGGw/xOZu5D0syIkCTEmdAZowBTKStFKH4jGF2bEoDJFOtJOz4yAAOFrVIXUoRETkYV1mK+pazZicEzzD1UMpRw/nwhlpaDf24Vh1p9ShUJBSSB0AEY1Naa0B+ZmxkAmC1KF4zOULcqQOwWciI1TITonC0epOXL4wdN43EVEoOFzZf7F1el6CxJF4Tijl6OHMnJSIyIj+5m5Tc+OlDoeCEO+QEwWQtq5etBv7OH88wE3JiUNlkxE9faHXtZaIKJgdqmhHXJQaaYkaqUMhD1HIZVg4LQWHKjpgMLG5G3keC3KiAPLN/PEYaQPxsCffOogn3zoodRg+MzU3HqIIHK9ht3UiomBhd7hwvMaAaXkJEIJoFFuo5ejhLJ6eCpcoYsehJqlDoSDEgpwogJTUGhClUSE1IbiuvNvtLtjtLqnD8Jmc1EhEqBWcR05EFETK6rtgtTsxLS+4hjWHWo4eji42ApOzY7HtUBOcrtA+F+R5LMiJAoRLFHG8phNF2bFBdeU9FMllMhTlxOFodSdEdm0lIgoKhyraoVTIOK0sSC0uToPBZMWRSjZ3I89iQU4UIBpazei22DE5O3g6t4ayKTlxMJisaGzrkToUIiI6R6Io4kB5OwqzYqFWcrmzYFQ8MQHRGhU+P9godSgUZFiQEwWIgfnGRSzIg8LAkMYDFe0SR0JEROeqVm9CR3cfZk1KlDoU8hKFXIYLpqfgSFUHOox9UodDQYQFOVGAOFbTiZT4CMRGqqUOxeOmT0jA9AnBs0TMaMRo1chNjcLB8japQyEionO070QbZIKAGUFYkIdijj6TRdNTARHYzuZu5EEsyIkCgN3hRHl9V9AOV18xLxMr5mVKHYbPzZiYgOpmE5dRISIKYKIoYu+JNuRnxkAbrpQ6HI8L1Rw9nITocEzJjcf2w01wONncjTyDBTlRAKhoMMLmcKEoJzgL8lA1Y2L/nRTeJSciClyN7T3Qd1owOz/47o7T6S6ckQqj2YZDFVwphTyDBTlRADhWY4BcJiA/I0bqULziD6/uxx9e3S91GD6XEh+BpNhw7C/nPHIiokC170QbBAAzg3C4OhC6OfpMpuXFIzZSjW1s7kYewoKcKAAcq+lEXmoUwtUKqUMhDxJOzjcsrTXA0ueQOhwiIhojURSx67gekzJiEK0Nvh4vdDq5TIYLpqXgWHUn2rp6pQ6HggALciI/Z+61o67FxO7qQWrGxAQ4XSIOV/IuORFRoKlpMUHfacF5k5OkDoV8aNH0VEBgczfyDBbkRH6upNYAEeD88SCVlxaNGK0Ke0pbpQ6FiIjGaNcxPRRyAbMLdFKHQj4UFxWG6XkJ2HG4mc3d6JyxICfyc8eqOxGuViAnJVLqUMgLZIKAuYVJOFLVAUufXepwiIholFwuEbtL9JiaGw9NWPB1V6ezu3BGKrp7bDjAPjB0jliQE/kxURRxvKYTBZkxkMuC99d1TqEOcwpD9+7CvKIkOJwi9p1gt3UiokBRUmuAsceG+ZOTpQ7Fq0I9R5/JlJx4xEep8fkBNnejcxO8n/CJgkBrVy/ajX1BP3/8opnpuGhmutRhSCY7ORK6mHB8XaKXOhQiIhqlHYeboAlTYPqEeKlD8apQz9FnIpMJWDQ9FSW1Bug7LVKHQwGMBTmRHzte3QkAmBzk88etdiesdqfUYUhGEATMLdL1320xW6UOh4iIRmDutWN/WRvOm5wMpUIudTheFeo5+mwumJ4KQQB2Hm2WOhQKYCzIifzY8RoD4qPUSIoNlzoUr/rLW4fwl7cOSR2GpOYVJkEUweZuREQB4KtjLXA4RVwwLUXqULyOOfrMYrRqFGXHYdcxPURRlDocClAsyIn8lMPpwvFaA4qy4yAIgtThkJelJWqRodNi59EWqUMhIqKzEEUROw41ITs5EplJbLga6uZPTkK7sQ8VjUapQ6EAxYKcyE9VNhrRa3VgWl5wz02jbyycloLaFhPq9CapQyEiojMor+9CQ1sPLpieKnUo5AdmTkqESinDV8fYB4bGhwU5kZ86XNUBuUwI+oZu9I35k5OhkAvYcZhz0YiI/NWGndVQq+Q4ryhJ6lDID4SpFJgxMRF7SvRck5zGhQU5kZ86UtmBienRCFcrpA6FfEQbrsTMSYnYdawFdgcb6BAR+Ztuiw3bDzRiwZRk5mdymz85CT19Dhyp6pA6FApALMiJ/FCboRcNbT2YlpcgdSg+sWBqChZMDf7GOKNxwbRU9PQ5sL+sXepQiIjoFDsONcHhdIXUMmDM0SMryo6DNlyJXRy2TuPAS3tEfmhfaf8f9KkhMn98YQh0qR2twuxYxEeFYfuhJszjcEgiIr/hdLnw2YFGTJ+YgNQEjdTh+Axz9MgUchnmFSZh++Em9FodHD1BY8I75ER+aG+JHgnRYUiNj5A6FJ8wWWwwWWxSh+EXZIKAC2ekoqTWgIY2s9ThEBHRSXtKWtHZbcXqhblSh+JTzNGjc97kJNgdLuw70SZ1KBRgWJAT+Rm7w4WD5W2YmhcfMsudPfveUTz73lGpw/Abi6anQqmQ4ZN9DVKHQkRE6F/qbNPXdUiJj8CcomSpw/Ep5ujRyU2Ngi4mHF8d4/KlNDYsyIn8TFl9F6w2J6blhsZwdTpdZIQK5xUl4aujLTD32qUOh4go5B2r7kR9qxkr5mVCJguNi+U0NoIg4LzJSSitNcBgskodDgUQFuREfuZwZQeUChkKsmKlDoUktGx2BmwOF3YcapI6FCKikLdxVy1iI9WYPzm07o7T2MwtTIIIYO+JVqlDoQDCgpzIzxyu6sDUCQlQK+VSh0ISytBpUZAZg0/2N3BdUyIiCVU3d6O0rgsXz86AQs6PznRmqQkapCdqsaeEBTmNHv+qEPkRvcECfacFswvYXZuA5XMz0dlt5TIqREQS2rirFuFqBRYXp0odCgWAeUU6VDQaYXfwYjqNDgtyIj9ypLIDADCrUCdxJL61ZGYalsxMkzoMvzMtLx4ZOi027qqFyyVKHQ4RUcjRd1qw/0QbLpqZFrJLWTFHj82cwv6bKuxMT6PFgpzIjxyu7EBSXARSE7RSh+JTcwuTMLeQowJOJQgCLp2fhZZOC/aXcRkVIiJf2/R1HeRyGZbNSpc6FMkwR4+NLiYcOSmR6LawKSuNDgtyIj9htTlRWteF6Xmh1129s7sPnd19Uofhl2bn65AUF4EPv6yBKPIuORGRr7R19WLnkWZcMD0F0Vq11OFIhjl67OYUJKHP5oDN4ZQ6FAoALMiJ/MTx2k44nC5MDcHlzl5YfxwvrD8udRh+SSYTcOl5WahrNeNAebvU4RARhYwPv6zpH6l0XpbUoUiKOXrs5p6cemjq4V1yGhkLciI/caCsHeFqBfIzY6QOhfzM/ClJSI6LwHvbqziXnIjIB1oNFuw80oILi1MRFxUmdTgUYOKiwhCuVqCb88hpFFiQE/kBp8uFgxXtmJ4XzyVV6DRymQxXLcpFY3sPdh1vkTocIqKgt35nDeRyAavmh/bdcRq/qAgVrHYnGtt7pA6F/Bw/+RP5gYoGI8y9dsyYlCh1KOSnZuUnIjNJi/d3VHNdciIiL9J3WvDlsRYsmZGGmBCeO07nJjJCCQHAnhIuXUpnx4KcyA8cKG+HQi7DlJw4qUMhPyUTBFyzOA/txj58tr9R6nCIiILWup3VUMplWBnic8fp3CjkMoSHKbC7pJVNWemsQnNBRSI/Iooi9pe1oSg7NmTXOF0+N1PqEALClJw4TM6Oxbqd1Zg/JRnacKXUIRERBZXmjh7sOq7H8jmZiNaopA7HLzBHj19UhAp1nRbUt5qRmRQpdTjkp3iHnEhiDW09aDf2YWYID1cvnpiA4okJUofh9wRBwPVLJ8JideCDL6qlDoeIKOis21kDlUKOFeexCB3AHD1+2nAlZIKA3SWtUodCfowFOZHE9p1ohQBg+oTQTXbNHT1o7mDTk9FIT9RicXEaPtvfiCY2iiEi8pjGNjN2H9dj6ax0REXw7vgA5ujxU8hlKMqJxe4SPYet0xmxICeS2J7SVuRnxoT00LhXNp/AK5tPSB1GwLjyghyoVXKs+fgEEzwRkYes21kDlUqOFfN4d3ww5uhzM7cgCe3GPlQ3m6QOhfwUC3IiCTW2mdHcYcHsAp3UoVAAiYpQ4doL81Ba14Uvj3IZNCKic1WnN2FPaSuWzUpnfw7yqJmTEqCQC9jNbut0BizIiSS0p7QVggDMCuH54zQ+i4tTkZcahTc/rYC51y51OEREAW3t9ipEqBW8O04eFxGmxJSceOwpbYWLo9poGCzIiSQiimL/cPWMGERznVMaI5kg4NYVBbD0OfD2ZxVSh0NEFLBO1BlwuLIDq+ZnQRPGu+PkeXOLdDCYrKhoMEodCvkhFuREEmls7+FwdTonGTotLpmbgR2Hm1FW3yV1OEREAUcURby7rQoxWhWWzkqXOhwKUsUTEqBSyDhsnYbFgpxIIntKOFx9wGULsnHZgmypwwhIVyzIQXxUGP6zuRQOp0vqcIiIAsqhig5UNBpx+cIcqJVyqcPxS8zR5y5MpcC0CQnYW9oKp4u5moZiQU4kAVEU8fVxPQoyYzlcHcDk7DhMzo6TOoyApFbJcfMlk9DcYcGmXbVSh0NEFDBcLhHvbq9EUmw4Fk5NkTocv8Uc7RlzC3Totthxoq5L6lDIz7AgJ5JAZVM3Wrt6MX9ystSh+IU6vQl1ei4HMl7TJyRgdn4i1n9Zg0auTU5ENCq7jregsa0HVy3KhULOj8RnwhztGdPy4qFWyTlsnU7Dvz5EEvjqWAuUChlm5XO4OgC8vrUcr28tlzqMgHbTJfkIUynw4ofHORyOiGgEdocL7++oRlZSJHu5jIA52jNUSjlmTEzAvhNtnGJGQ7AgJ/Ixh9OFPSWtmDExAeFqhdThUJCI1qhw8yWTUNNiwuav66QOh4jIr2072Ih2Yx+uuTAXMkGQOhwKEXMLk9DT58DxGoPUoZAfYUFO5GNHqzph7rXjPA5XJw+bW5iE2fmJ+OCLajS0maUOh4jIL/VaHVj/ZQ0KMmM4N5p8akpOHCLUCg5bpyFYkBP52JfHWqANV2JKDj8EkOfdvDwf4WoFXtxQwiFxRETD2LKnHiaLHddcmAeBd8fJhxRyGWZOSsSB8jbYHU6pwyE/wYKcyIdMFhsOlrdhXlESG8iQV0RFqHDLJfmobTFhE4euExENYTBZsfHrWsyalIi81Gipw6EQNLdIh16rE0eqOqUOhfwEJ7AS+dBXR1vgcIpYPD1V6lD8yjWL86QOIajMLtBhbqEO676oxvS8eGQmRUodEhGRX1i7vRIul4hvLWHeGS3maM8qzIqFNlyJ3SV6zJzE5r7EO+REPiOKIrYfbkZuahTSdVqpw/ErE9KjMSGddyo86aaLJ0EbrsQL649zWBwREYDaFhO+PNKCZbMyoIuNkDqcgMEc7VlymQyzC3Q4WNEOq435mViQE/lMZVM3mtp7sIh3x09T0WBERYNR6jCCSmSECt9dVYjG9h68u61K6nCIiCQliiLe+KQcmnAlLjs/W+pwAgpztOfNLdDBZnfhUGW71KGQH2BBTuQj2w81Qa2SY24h1zs91bvbKvHutkqpwwg60/LisWRmGj7eU4+SGs5VI6LQtb+sHSfqu3DVBTmICOOMzbFgjva8SRkxiNaqsLukVepQyA+wICfygZ4+O3aX6DGvUIcwFT8IkO9ct2QCkuIi8K8NJejps0sdDhGRz9kdLrz9WQXSEjRYVMxRaiQ9mUzAnAIdDld2MDcTC3IiX9hxqBk2uwsXzUyXOhQKMWqlHHeuLkJ3jw1rPi6TOhwiIp/bvLsOrV29uP6iCZDL+NGX/MOCKSlwOF3YfZxrkoc6/lUi8jKXS8Qn+xqQnxHDbtckiZyUKKxekI2vj+ux63iL1OEQEflMq8GCD7+swez8REzJjZc6HCK3zCQt0hO1+OII83KoY0FO5GUHytvR0d2HZbN5d5ykc+n8LOSlRmHNR2Xo7O6TOhwiIq8TRRH//bgMcpmAG5ZNkjocoiEEQcDCqcmobu5GY3uP1OGQhFiQE3nZJ/vqER8VhuKJCVKH4rduWDYRNyybKHUYQU0uk+F7q4vgdIl4cUMJXKIodUhERF61u6QVx6o7cfWiXMRGqqUOJ2AxR3vPeZOTIZcJ2HmkWepQSEIsyIm8qLbFhNK6Llw0K43z1s4iMymSw/l9ICk2At9eOgEltQZs3VMvdThERF5j6bPj9U/KkZ0cyf4t54g52nuiNCpMy4vHl0ea4XC6pA6HJMIKgciLPvyqBuFqBRZPT5M6FL92rKYTx7gsl08smp6K4gkJeGdbJWpbTFKHQ0TkFe9sq4LJYsN3VhRAJhOkDiegMUd71+LiVHRb7DhQzjXJQxULciIvaWrvwf4TbVg6K51rno7gw501+HBnjdRhhARBEPDdVQXQhivx3LpjsNqcUodERORRR6s68PmBRlw8OwNZybyze66Yo71rSk484qPU+PxAo9ShkERYkBN5yYavaqFUynAxm7mRn4mMUOGO1ZOh77Tgta1cCo2IgofJYsOLG0qQlqDB1YtypQ6HaEQymYBF01NRUmuA3mCROhySAAtyIi9o7erF18f1uLA4DZERKqnDITpNYVYsVs3Pwo7DzdhdwjVQiSjwiaKIlzeVoqfPjjtWF0GllEsdEtGoLJyWCpkg8C55iGJBTuQFH+yoglwuYPncTKlDITqjKxbmIC81Cv/ZfAL6Tl6VJ6LAtuNwMw6Ut+PqRXlsQkYBJTZSjZn5idhxqBl9NofU4ZCPsSAn8rA6vQm7jumxbHY6l1khv6aQy3Dn5ZMBiPjzmr3s8EpEAUtvsOD1reUozIrFJXMzpA6HaMwumZ0Bi9WBL4+2SB0K+RgLciIPe3dbFSLCFFh1XpbUoQSMW1fk49YV+VKHEZISY8LxnRUFKK014J3PK6UOh4hozKw2J55ZexQKuYD/d2khZAK7qnsSc7Rv5KVFISclElv2NsAlilKHQz7EgpzIg0pqDThS1YFV87OgCVNKHU7ASInXICVeI3UYIWtuYRIuW5CDj/fUY29pq9ThEBGNmiiK+PfGEjS2m/H9yycjLipM6pCCDnO0bwiCgItnZ0DfacGRyg6pwyEfYkFO5CEOpwuvbSlDfJQaS2eys/pYHCxvx0Guvymp2y+fgtzUKPx7YwmaO3qkDoeIaFQ2fV2HPaWtuHZxHqbkxksdTlBijvad2QU6xEWpsWFXLUTeJQ8ZLMiJPGTr3gY0tvfgxmWT2Nl1jD7aXYePdtdJHUZIUypkuPvKKVDIZXj2vaNcn5yI/N6Rqg68+3kl5hbqsGIem6h6C3O07yjkMqycl4WKBiPK6rukDod8hAU5kQcYTFZ8sLMa0/LiUTwxQepwiMYlLioM3798Mprae/DKR6W8Ok9EfquxvQfPfXAM6TotvruyEALnjVOQuGBaCqI0Knz4ZY3UoZCPsCAnOkeiKGLNxyfgcom48eJJ/FBAAW1yThyuuCAHXx3TY+u+BqnDISI6TWd3H5588yAUChnuvXoq1CqOSqPgoVLKsXxOBo7VGFDRaJQ6HPIBFuRE5+jLoy04UN6OKy/IgS4mXOpwiM7ZZedno3hCAt74pBxHq9lYhoj8R0+fHU+9dQi9Vgd+/K3pSGDepSC0ZGYaojQqvPN5JUerhQAW5ETnoMPYh9e2lmFSejSWz+H8NQoOMkHAHauLkJagxT/eP8Ymb0TkF2x2J/76zmHoDRbce/VUZCVHSh0SkVeEqRS4fEE2yuq7cKSKF8aDHQtyonFyulz414fH4RKB/3dZEWQyDlUfrztWF+GO1UVSh0GDhKsVuO/aqVDKBTz11iEYzVapQyKiEOZwuvDPD46hosGI711WhMLsOKlDChnM0dJYND0VuphwvPN5JZwu3iUPZizIicbp3W1VOFHfhVsumYREDpk7J3FRYVw71g8lRIfj/m9NR7fFhqfe7h8iSkTkaw6nC899cAwHK9px8yWTMLcwSeqQQgpztDQUchmuuTAPDW092PxltdThkBexICcah72lrdj8dR2WzEzD+VNSpA4n4O0u0WN3iV7qMGgYOSlRuPvKqWho7cHf1x6Bzc7l0IjId5wuF15Yfxz7ytpww9KJWDIzXeqQQg5ztHRm5yeiKDsW/91UAmOPTepwyEtYkBONUW2LCS9uLEFeahRuWDpR6nCCwmf7G/HZ/kapw6AzmJYXj9svLUBprQF/f+8I7A6X1CERUQhwuUT868MS7CltxXVLJuDiORlShxSSmKOlIwgCbrp4Eqx2J976tFzqcMhLWJATjUFrVy+eeusgtGFK3H3VVCjk/BWi0HD+lBR8Z2UBjlZ14h/vH4XdwTvlROQ9DqcLz68/hq+P63HthXlYMY+NUyk0pcRrcO1Fk/DVMT32l7VJHQ55AasJolEymq146s2DcLpE/OT66YiNVEsdEpFPLZqeilsumYSDFe3uZYeIiDzNZnfimbVHsLukFd9akodV52VJHRKRpK5bNgmZSVq8vKmUQ9eDEAtyolEwmKz4w2sH0GW24f5rpyMlXiN1SESSWDIzHd+7rBBl9Ub86fUD7L5ORB7VZ3PgL28fwuHKDtyyPB8r57EYJ1IqZLhj9WT02Zx4ccNxuNh1PagopA6AvvH+jipceUFuwO4/WL22tQxHKjvQ1WPDj6+bjgnp0ePe13i+BwOvGe61gx97/NV9AICHbpo15LnHX93nfmzw14Nfe6avB15TkBk75DgP3TQLDz67EwunDm1oNxAnAHxxpNn9fGmdAQWZse7tvjjSjD/fvcC9bbuxFwnR33Sqv/vJbXj2J4vdx6rTm9Fnd6Lm5PbDnY8Hn92J5edl46NdNVg4NcV9zNI6w5D3PDjWgXM2sN1AjIPf6+D3/v6OKnfsw+1vuPM32Fi//4P3P9pjjGZ/w732tY9KcfHMtFHt5/wpKYhQK/HPdUfx6H/24r5rpnl1PWD+7SIav9H+/pwtD/gqHpPFhqffOYyaZhO+d1kR9AbLiDlw8N/4wfsfKWcCp+fEwXmjIDMWXxxpRkJ02Gl54I6rp7vzw6m5Y/DxB2J78NmdSIju71LebuwDAPd+B5TWGQDAvT0AGM02XDo/C6V1BlQ2dkOpkCEiTAFLX//opIF+HkqFDJlJWgBAeb0RapUcmUlatBv7YOlzICJMAaPZhmitCkazzb2fUx+z2pwQAYSp5OizOTEpIxrtxj50dvdfeL3jj5+5jzdw/EvnZ+HjPfWwO1zuxwfHmJmkRVm9EQAgCMDq87OxbmcNLl/Q//8wlRx2hwsulwiZTMALP1uCu5/c5n6d/ORjgz9bGM025KVFoU5vRkSYwp3zKxu73fEMfrzd2IeFU1Pc35fB39cNX9UiLy3Kfe5PzfODv3cDBn/fhvssMfB1u6MXxh4b3u+pGvL56NSfy8E/h6ca+HkayNE3LpuIVz46gfe/qMLVi/LO6XOlp3jyc0+oYkHuR9btrPHqD6239x+MaltM2Lq3AeFqOR64rvicinFgfN+DgdcM99rBjw0kvFOfG/z44K8Hv/ZMXw+8pqzeeNpxOrutWLezZsgxB+IcfIzhjj3c87++bY776z6bc8hrLCeHRg9sP9z56Oy24vWPTwzZbrhzMjjWgedP/f/g9zr4vZ/6fk/d38BjZ/oej/X7P9z5Hc9+Tt3fcK99/eMToy7IAaB4YgIevnkW/vruYfx+zT7cePEkXDAtBYIgjDmukfBvF9H4jfb352x5wBfx6DsteOrtQ+jstuLuq6Zg5qRE3P74pwCG/5s/sK8z7X+knAmcnhMHPzY4152aB+64ero7PwzedvBxB8fW2W11F7WDHxsuLw48N9x7dNqc7vw4mNPmHLKvvmH+PXi/g/cz+LFTtz81voG1sAdve2p8g19/6j5E8ZvtB/4/eNuB/Q+Of+CxU7/XA8/32ZzDfu4Y7vHB35fB53+4n4MBw33vBm8/3GeJga9VBX3DHvvUn8sz/RwMfu1Ajl5cnIqalm58+GUt0hO15/S50lM8+bknVHHIOtEZ7C9rw+Ov7gcAPHzzrHMuxunsIiNUUodAY5SZFIlffWcO8tKi8fKmUjz7/lGYe+1Sh0VEAaasvgu/e2UvLH0O/OyGGZg5KVHqkIj8Un/X9XxMSI/GC+uPSx0OeQgLcqJTOF0uvP1ZBf6+9ghSEyIAAGmJWomjCn5fHG6WOgQah2iNCg98uxjfujAPB8vb8fDzu7DjUBNcIue3EdHIvjrWgj+/cQDaCBV+eSsvfhONRKmQ4f5rp7n7GZ04OUyeAhcLcqJBWg0W/OG1A9j0dR0unJF2xjk95Hk7j7AgD1QyQcDK87Lwm+/OQUp8BF7aVIrf/mcvDle2Q2RhTkTDsDuceOWjE3hh/XHkpkThF7fMgi42QuqwiAKCJkyJB66fDgB44s1DOFDO5dACGeeQEwFwiSK2HWzCW59WQCYTcOfqIpw3OVnqsIgCSnqiFj+/aSa+OtqCD76oxl/ePoys5Egsm5WOuYU6KBVyqUMkIj+g77Tg2fePor7VjJXzMnHVolwo5LxHRDQW0dr+5XczdFr8fe0RXLs4DyvmZXqllwt5FwtyP+Z0uWA022AwW9FlsqHP5oDd6YLd4XJ31lQpZFAr5VCr5AhTyRGjVSMuKgyaMAV/IUepvtWMVz4qRWVjN4qyY3H7qkLERYWN/EIiOo1MELBgagrmFSXhiyPN2LKnHi9uKMEbn5RjxqREzM7XIT8jBmoVi3OiUDMwYuZ/X94DuUzAfddOQ/GEBImjIgpsP72hGP/eWIq3P69ERaMR31lRgCgN+/IEEhbkfqDX6kBjWw8A4NUtZWhsM6O504Jusw3jHeypUsgQGxWGlLgIpOs0SD85B9rpckEu41VoAP1LUeyowvZDTdCEKfH/Li3E+VOSeSGDyAMUchkuLE7D4umpKK014IsjLdhb2oovDjdDLhOQnRKJgsxY5GfEIDslCtpwpdQhE5EXNbSZ8frWcgD9DSHvuKwI8dG8+E10rsJUCvzgisnYkhqFd7ZV4pf/+hrfXjoB501OhoyfaQMCC3IJtHf1orzRiIpGIyobjKhvM2NgmuUXR5qRnqDB1Jx4xEWpEROpRqxWjRitGuFqOZQKOZQKWf9ajyJgdThhszthtbvQZ3XAYLKis7sPnSYrOrr70NTeg8OVHe4GS/c8tQO5qVGYmB6NiekxyE2NQrg6tH4MjD02fLy7Dp/ub4TD6cLSmem4fGEOCwIiLxAEAYXZcSjMjoPd4URpXRdO1HXhRJ0Bm7+uw4avagH0N4dLS9QgLUGL1IQIpMRrkBIfwe77RAGu1WDBxl212HG4GeGq/s8bP7txBgsFIg8SBAGXzM3E5Nx4vLSxBP/6sARb9jbgqgtyMTU3jjeb/FxoVWIS6bU6UFprwNGaThyr7kSroRcAEKaSIy81CqvPz0ZOShSefucwnv3xojH90oxm2Kfd4URTuwX/+/IeLJiajIoGI9bvrIGI/uGlualRmJITh8k5cchJiYJMFpy/tB3GPmz+ug7bDzfB4XRhToEOV12Qi6Q4NpHxBz+6brrUIZCXKRVyTM2Nx9TceABAn82ByqZuNLSa0djWg4Y2M7YdbITt5JQcAO4LZS9vKkVKfMTJ/zSIjw7jB3oiP+V0uXCs2oAvDjdhX1kb5DLBffH7vqd38HeXyEvSEjR4+JZZ+PqYHmu3V+Ivbx9CWqIGS2akYW5hEm8++SkW5F7gcomoaTHhWHUHjlV3orKpG06XCLVSjoLMGCydlY78jBikJ2pPK369cQVLqZAjKzkSAHDzJfkA+i8SVDYZcaKuC8eqO/HBF9V4/4tqRKgVKMqOxZTceEzOjgv44WSiKKK0rgvbDzVhb2krAGD+lGRcel4WC3E/o1ZyTnGoCVMpMDk7DpOz49yPuUQRHcY+NHdY0NzRg+YOC7YfasL+srYha5yHq+XISopEdkoUspMjkZ0cicSYcN4FIDoDY48NbYZetHf3orPbij6HC92mPtgdIhzO/otgL20sQdjJu9gf76mHNlwBbbgKkRFKaMKViAxXIkwlH/J75hJFGM02tHX1ok5vQnmDEceqO2GxOqANV2L53ExcPDsDsZFqSd43UaiRCQLmT0nGnEIdvj6ux8d76rHm4zK8vrUcBVmxAICqpm5k6LT9I25JcizIPaTd2IvjNQYcre5ESU0nevocEABkJkdixbxMTM6OQ15atN/84IerFZiSE48pOfG4ZnEeTBYbjtcYcKy6E0erO7D3RP/yCSnxEZicHYei7DjkZ8YEzPD2LrMVXx5twfZDTWg19CJCrcCSmWlYPicz4C8yBKtP9zfgopnpUodBEpMJAhJjwpEYE45pef130rcfasJf778AJosNLZ0WNLX3oE5vRk1LN7burYfD2T8lRxOmQFZyJHJTozEhLQq5qdG8G0Ahqc/mQEVD/9Q4APjx37+A0Wwbso0mTAGFQgalXObucH6kqgN9NicA4I1Pyofdt1wmQKmQweUS4Tz532DRWhVmTkpE8cQETMuLZ/d0Ioko5DIsmJqCBVNTUKc3YdcxPQ5UtAMAfvfKXshlAjJ0WqQmaBAbqUZsZP8UWbVKDtXJ6bGKQX2nTu1rNXhZ0zq9CQq5DJpwZf/fFv7ej0lgVFd+aGAY+rGTw9D1J4ehx0aqUTwxAVNy4lGYHYuoAJn/GBmhwryiJMwrSoIoimhq7zlZnHdi+6EmbN3XAJkgICc1EkVZcSjKjkVeWrRf/cLpOy04UN6O/eVtqGwwQgQwKSMGVyzIwaz8RKh4B9av7SlpZUFOZxUZoUJkhAoT02PcjzmcLjS29aCmpRu1LSZUNXdj41e17r4ZyXERyEuNQl5aNPLSopGWoAnaaTkUuqx2JyoajCitM6C0zoCaZhOcLhEDN7KLsuKQlRyJlPgIxEWFIT5KjYy0WLS1mdz7uP3xT/HkPQvdX//tRxfAbLHD3GuHqdc+6Gsb7A4XFDIZ5HIBcpmAaI0K8dFhyNBFIkar4kgVIj+TmRSJzKRIXHfRBNz++Ke4+8opqG7pRnVTN0rrDDCabaddXBuLR17aM+Tf4Wo54iL7b4C98Uk5dLHhyNBpkaHTukfh0Dd4RkbJYLKiotGI8oYulDcYUa83wyX2D0PPz4zBRTPTUZQTh9T4iIBPRIIgIC1Ri7RELS6Zmwm7w4mKxm6U1HbieI0BH35Vg/Vf1kCllCE35eQH3dRo5KZG+XSZhc7uPpQ39H9PSuu60NTe36k+M0mLKxbmYE6hDinxGp/FQ0S+p5DLkJUc6Z6WAwBWmxPVzd2obDKisrEbhyo7sPNoC4D+vhv9f7eikJfaX6TzLjoFGqvNiYomI07UGVBa14Xqk1PjZIKAnJT+kXn5mTGYkBaNu5/cjjtWF435GJowJTRhSiR5IX4iktbsAh1mF+jc/3aJIkw9NnSZbbDanbA7XLA5nHA6hxbpp5c4Ap557wh+eNVUOJwumHvt6Dl5Ea+zuw+N7T34/MA3vWEEALq4CGQlaZGZFImspP78Hep5mAX5KZwuF9qNfWhoNaNOb0Z9qxkNbWa0G/sA9C8nlpsahVXzszDZD+8Se4NSIUdhViwKs2Jx9SLA0mdHaV0XSmoMqGgyYvPXde6ranFRaqQmaJAar0FBTjy0KjniotSI1qrGvdxan80BfWcvmjt60NRhQXN7D2paTOjo7v+eqFVyTEiLxoXFqSiemICE6HCPvXciCjxqlRwFWbHuuXKiKKKtqxeVjd2oaDKistGIjV/Vue+i62LDkZGoRVpi/xKRaYkaJMaEB/3fdgoMAz+/NS0m1DSbUNFkHFKAZ6dE4pI5GSjIisWEtOiAmVpGRP5DJgiI1qoRrR1fr4dZ+YnDPn7745/iHw8shsFkRZ3ejDq9CbV6Eyobu7G7pNW9XXxUmPvi+kCRHh1Ca6mH1F9th9MFi9UBs8WOLrP15H82GLqt0HdZ0GroRYexz11cCgKQEq/BlLwEJMWEYWJ6DDKTtCH/IS0iTImZkxIxc1L/L5/V7uwfKtrUjbpWE5raenCirgsf76l3v0YAEKVVIVarRkSYAmqlHGqlHCqlHHK5AKfTBadThMMlwmZ3wmSxo7vHBmNP/5W6ATJBQGJsOHJOfgCZmBGNDJ2Wa6sT0RkJggBdbAR0sRGYPyUZQP8dxpqWblQ0GlHTbEJDmxn7y9rcc+QEof8DwsB89vjoMMRoVIjWqhCtUSNKo0JEmGLIHDqi8XI4XTCabTCYrTCYrGg1WNDSaUFLhwVNHRb0Wh0ATo4ISdJi+dxv7oCzACcifyYIAuKiwhAXFYbiiQnux829dneBXtvS/9/+sjb389EaFZLjIpAUF4HkuAjER4chWqNCjFaFaK06qJoB++SvuKfn6x2r6URNswkOlwsuZ3930IHGIv1FnQsOhwtWuxO9Nif6bE702RxwDFpKZzC1Uo746DBMzUtAYnQY4qPVSI7TIDkuAkqFDPHxWnR0mD36Hoajiw336txGb+0/XK0YcjcK6O8075LLUF7TCaPZBmOPFcYeG7p7bLDanLA6nOjqscLu6P++KU7OQ5PLZVDIBehiw/uHkkYooQ1XIj4qDEmx/R+KfX1BxJPnbSz7Gthu4DXDvXbwY7rY8BFfN9avR9rvcDEP9/iZ3t/gbWOj1GeMPSymvwu3ThE+5LXDxXmmY526zdliPds5Pdv+Bsc+nLH+LJ0a32iOMZr9Dfdab//9ORfeiC08TOFeH32AzeFCq8ECfacF7cY+dHZb0dndh/o2M0rrDMPuRy4T+i8wquQIVymgVsuhUsihkAuQyWTuv22Kk3/f5DIBYWo5FkxJ8WghdS7nx1+/72PhD+/hWE0nmtp74HSJcDlFOMVv/u90uuASRThdgM3uRK/VgV6bE9aB/9scpzVMitKooIsNx5TceKQmaJCh0yIpLnzMF6DP9vtz6t/Qc/0bc67xDLctMPzf/FOfP3X/I+XMU/89Uu46dbuz5cDB+WUseXE82web4d6/p87JSPs59fsGjO7n4kzbKLUxAAD7MD8Tg43mc8OZthnP76qnf7/H+7knSqPClNx4TDm5FCoA9NmcaGrvXwq1udOCNuOZc3CYSg5NuNKdg9XK/vyrUvY3qpTLBESEq2CzOSCXCZDJ+s99fkYsMnRaz7z5URrpfAsiL+8T/f/27j6m6vL/4/jrHJC8K50JgtPZVmmZxo2YJpBCZMBEUGcyFXNaLk3tZiyd5nRYTa2oNDenNV0jbTWFhWB5M7V003SJokU6LVG5U8MMOQqcc/3++P6+5ysBdjzo+aA+H5vbOVzX+Zz35/I9XlyczzkAAAAAgM9xnS8AAAAAABZgQw4AAAAAgAXYkAMAAAAAYAE25AAAAAAAWIANOQAAAAAAFmBDDgAAAACABdiQAwAAAABgATbkAAAAAABYgA05AAAAAAAW8Le6gNagqqpKb731lkpKShQQEKBevXopMzNTXbp0aTBvxYoVWr9+vYKCgiRJERERWrhwoRUltyozZszQ2bNnZbfb1b59ey1YsECPP/54gzlOp1PvvPOOfvzxR9lsNk2bNk1jx461qOLWwZN1o+ea9+mnn2rFihXKy8tT7969G4zRb8270brRb02Li4tTQECA7rvvPklSRkaGYmJiGsyh524fMrplyGjvkNEtQ0Z7h4y+eXdDRrMhl2Sz2fTSSy9p0KBBkqSlS5fqgw8+0HvvvddobmpqqubMmePrElu1pUuX6v7775ckbd++XfPmzVNOTk6DOXl5eSopKdHWrVt16dIlpaam6umnn1aPHj2sKLlV8GTdJHquKceOHVNhYaG6d+/e5Dj91rR/WzeJfmvO8uXLG/1wdD167vYho1uGjPYOGe09Mto7ZLT37vSM5pJ1SZ07d3YHvSSFhYWptLTUworuLP8NLEmqrq6WzWZrNKegoEBjx46V3W5Xly5dFB8fr++++86XZbY6nqwbGqutrVVmZqYWLlzY7JrRb415sm7wHj13+5DRLUNGe4eM9g4Z7R0y+vZq7T3HK+T/4HK5tGHDBsXFxTU5np+frz179igwMFCzZs1SeHi4jytsnebPn6+9e/fKGKPPPvus0XhZWVmD3/iFhISovLzclyW2Sv+2bhI990+ffPKJRo4cqZ49ezY7h35rzJN1k+i35mRkZMgYowEDBujNN9/UAw880GCcnvMNMto7ZLR3yOibR0Z7h4xumTs9o3mF/B8WL16s9u3ba+LEiY3G0tLStGPHDuXl5Wnq1KmaMWOGqqqqLKiy9Xn33Xe1a9cuvfHGG1q2bJnV5dwx/m3d6LmGDh06pKKiIo0fP97qUu4onq4b/da0L7/8Ut9++602btwoY4wyMzOtLumeRUZ7h4z2Dhl9c8ho75DRLXM3ZDQb8ussXbpUp0+f1scffyy7vfHSBAYGqk2bNpKkqKgohYSE6MSJE74us1VLTU3V/v37G32DCAkJaXCJYVlZmYKDg31dXqvV3LrRcw0dOHBAp06d0rPPPqu4uDiVl5dr6tSp2rNnT4N59FtDnq4b/da0kJAQSVJAQIDGjx+vn3/+uck59NztRUa3HBntHTLaM2S0d8jolrkrMtrAGGNMVlaWmThxoqmpqWl2Tnl5ufv2L7/8Yp566ilTWVnpi/JarerqalNaWuq+v2PHDhMdHW1cLleDeRs3bjRTpkwxTqfTXLx40cTExJiSkhJfl9tqeLpu9NyNxcbGmt9++63R1+m3G2tu3ei3xq5cuWIuX75sjDHG5XKZrKwsM2PGjEbz6Lnbi4z2DhntHTL61iCjvUNGe+5uyWjeQy7pxIkTWrVqlR566CGlpaVJknr06KGVK1fq5Zdf1uzZs9W/f39lZWXp2LFjstvtatOmjZYtW6bAwECLq7eWw+HQa6+9JofDIbvdrk6dOmnVqlWy2WwN1i4lJUWHDx/W8OHDJUmvvvrqv75P5m7m6brRc56j37xDv93YxYsXNWvWLDmdTrlcLj388MPuPzNDz/kGGe09Mto7ZPStR795h367sbslo23GGGN1EQAAAAAA3Gt4DzkAAAAAABZgQw4AAAAAgAXYkAMAAAAAYAE25AAAAAAAWIANOQAAAAAAFmBDDsBSBw8e1PPPP291GQAA4B/IaOD248+eAT6Wnp6u4uJi7d27VwEBAVaX43N9+vTR1q1b1atXL6tLAQCgATKajAZ8jVfIAR86e/asDh48KJvNph07dtzy49fX19/yY95Jzw8AgLfIaABWYEMO+FBubq5CQ0M1atQo5ebmSpJqa2sVGRmp48ePu+f9+eefevLJJ3Xx4kVJ0s6dO5WSkqLIyEilpaWpuLjYPTcuLk6rV69WcnKywsLCVF9fr9WrVys+Pl7h4eFKSkrStm3b3POdTqeWLFmiQYMGKS4uTtnZ2erTp487qP/++2/NmzdP0dHRiomJ0UcffSSn09nk+axYsUKzZ89WRkaGIiIilJOToyNHjmjcuHGKjIxUdHS0MjMzVVtbK0maMGGCJCklJUXh4eEqKCjQ/v379cwzzzQ4n88//1zJyckaMGCAXn/9dV27ds09vmbNGkVHRys6OlrffPON+vTpo9OnT7fkvwUAADKajAasYQD4THx8vMnOzjZFRUWmb9++5vz588YYY+bOnWuysrLc87Kzs82UKVOMMcYcPXrUDB482BQWFpr6+nqzadMmExsba65du2aMMSY2NtaMHDnSlJaWGofDYYwxpqCgwJSXlxun02ny8/NNaGioqaioMMYYs379epOYmGjKysrMpUuXzIsvvmh69+5t6urqjDHGTJ8+3SxYsMBcuXLFXLhwwYwZM8Zs2LChyfNZvny56du3r9m2bZtxOp3G4XCYoqIic+jQIVNXV2fOnDljEhISzNq1a92P6d27t/njjz/c9/ft22diYmLc92NjY82YMWNMeXm5qaqqMgkJCWb9+vXGGGN2795thgwZYo4fP25qampMRkZGo+MBAOANMpqMBqzAK+SAjxw8eFClpaVKTExUv3791LNnT23evFmSlJyc7L4tSXl5eUpOTpYkff311xo3bpxCQ0Pl5+enUaNGqU2bNiosLHTPT09PV0hIiNq2bStJSkxMVLdu3WS325WUlKRevXrpyJEjkqQtW7Zo0qRJCg4OVqdOnTRt2jT3cS5cuKAffvhB8+bNU/v27fXggw9q8uTJys/Pb/a8wsLCFB8fL7vdrrZt26pfv34KCwuTv7+/evTooXHjxunAgQM3tVbp6enq1q2bOnfurNjYWP3666/u2kePHq1HH31U7dq108yZM2/quAAANIWM9hwZDdxa/lYXANwrcnNzFRUVpS5dukiSRowYoZycHE2ePFmDBw/WtWvXdPjwYXXt2lXFxcWKj4+XJJWWlio3N1fZ2dnuY9XV1amystJ9PyQkpNFzrV27VufOnZMk1dTUqKqqSpJUWVnZYH5wcLD7dmlpqerr6xUdHe3+msvlanT8613/eEn6/ffftWTJEh09elQOh0NOp1NPPPGEZ4v0/wIDA92327Vr5z7XyspK9evXzz12o7oAAPAUGe05Mhq4tdiQAz5w9epVbdmyRS6XS1FRUZL+8760y5cvq7i4WI899pgSEhK0efNmde3aVcOGDVPHjh0l/SfQXnnlFU2fPr3Z49tsNvftc+fO6e2339a6desUHh4uPz8/paSkuMcDAwNVXl7uvn/97eDgYAUEBGjfvn3y9/fs28P1zy1JixYtUt++ffXhhx+qY8eOWrdunb7//nuPjvVvgoKCVFFR4b5fVlZ2S44LALh3kdFkNGAlLlkHfGD79u3y8/NTfn6+cnNzlZubq4KCAkVGRro/OCY5OVlbtmxRXl6eRowY4X7s2LFj9dVXX+nw4cMyxqimpka7du1SdXV1k8/lcDhks9ncv+XfuHGjTpw44R5PTEzUF198oYqKCl2+fFlr1qxxjwUFBSkqKkpLlixRdXW1XC6XSkpK9NNPP3l8rleuXFGHDh3UoUMHnTx5Uhs2bGgw3rVrV505c8bj410vISFBmzZt0smTJ+VwOLRy5UqvjgMAwH+R0f9DRgO+x4Yc8IGcnByNHj1a3bt3V2BgoPvfhAkTlJeXp/r6eoWGhrov/br+E0379++vxYsXKzMzUwMHDtTw4cO1adOmZp/rkUce0ZQpU5SWlqYhQ4bo+PHjioiIcI+/8MILioqK0siRI5WamqqhQ4fK399ffn5+kqRly5aprq5OSUlJGjhwoGbPnq3z5897fK5z5szR5s2bFRERoQULFigpKanB+MyZMzV37lxFRkaqoKDA4+NK0tChQ5Wenq5JkybpueeeU1hYmCTdk38rFgBwa5DR/0NGA75nM8YYq4sAYJ3du3dr0aJF2rlzp9Wl3LSTJ09qxIgRKioq8vjyPQAA7hRkNHD34xVy4B5z9epV7d69W/X19aqoqNDKlSvdH05zJ9i2bZtqa2v1119/6f3331dsbCxBDwC4K5DRwL2HV8iBe4zD4dDEiRN16tQptW3bVsOGDdP8+fPdH1DT2k2dOlWFhYXy8/PTwIEDtXDhQgUFBVldFgAALUZGA/ceNuQAAAAAAFiAS9YBAAAAALAAG3IAAAAAACzAhhwAAAAAAAuwIQcAAAAAwAJsyAEAAAAAsAAbcgAAAAAALPB/LgQi5SL6qfkAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(ncols=2, sharex=True, sharey=True,\n",
" figsize=(1.75 * FIG_WIDTH, FIG_HEIGHT))\n",
"\n",
"# Theme\n",
"sns.kdeplot(\n",
" rated_df.groupby(\"Theme\")\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" ax=axes[0]\n",
");\n",
"sns.rugplot(\n",
" rated_df.groupby(\"Theme\")\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" height=0.05, c='C0', ax=axes[0]\n",
");\n",
"axes[0].axvline(\n",
" rated_df[\"Average rating\"]\n",
" .mean(),\n",
" ls='--', label=\"Average (all themes)\"\n",
");\n",
"axes[0].axvline(\n",
" rated_df[rated_df[\"Theme\"] == \"Star Wars\"]\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" color='C1', label=\"Star Wars sets\"\n",
");\n",
"\n",
"axes[0].set_yticks([]);\n",
"axes[0].legend(loc='upper left');\n",
"axes[0].set_title(\"Average rating by theme\");\n",
"\n",
"# Subtheme\n",
"sns.kdeplot(\n",
" rated_df.groupby(\"Subtheme\")\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" ax=axes[1]\n",
");\n",
"sns.rugplot(\n",
" rated_df.groupby(\"Subtheme\")\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" height=0.05, c='C0', ax=axes[1]\n",
");\n",
"axes[1].axvline(\n",
" rated_df[\"Average rating\"]\n",
" .mean(),\n",
" ls='--', label=\"Average (all subthemes)\"\n",
");\n",
"axes[1].axvline(\n",
" rated_df[rated_df[\"Subtheme\"] == \"NASA\"]\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" color='C2', label=\"NASA sets\"\n",
");\n",
"\n",
"axes[1].legend(loc='upper left');\n",
"axes[1].set_title(\"Average rating by theme\");\n",
"\n",
"fig.tight_layout();"
]
},
{
"cell_type": "markdown",
"id": "f7af231a",
"metadata": {},
"source": [
"We see that the average rating for Star Wars sets is close to the average rating of all sets, whereas the averating rating for NASA sets is significantly higher than the average rating for all sets. I am not surprised that NASA sets score so highly ([21309](https://brickset.com/sets/21309-1/NASA-Apollo-Saturn-V), [10266](https://brickset.com/sets/10266-1/NASA-Apollo-11-Lunar-Lander), [10283](https://brickset.com/sets/10283-1/NASA-Space-Shuttle-Discovery), and [21312](https://brickset.com/sets/21312-1/Women-of-NASA)) are some of my favorite sets, but I am a bit surprised to find that Star Wars, as an overall theme, is as middle-of-the-road as it is. Even restricting to the period after 1999 (when Star Wars sets started to be released), this phenomenon persists."
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "f392929a",
"metadata": {},
"outputs": [],
"source": [
"star_wars_min_year = (rated_df[rated_df[\"Theme\"] == \"Star Wars\"]\n",
" [\"Year released\"]\n",
" .min())"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "9fd6b4ee",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1999"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"star_wars_min_year"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "c27da827",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = sns.kdeplot(\n",
" rated_df.groupby(\"Theme\")\n",
" [\"Average rating\"]\n",
" .mean(),\n",
")\n",
"sns.rugplot(\n",
" rated_df[rated_df[\"Year released\"] >= star_wars_min_year]\n",
" .groupby(\"Theme\")\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" height=0.05, c='C0', ax=ax\n",
");\n",
"ax.axvline(\n",
" rated_df[rated_df[\"Year released\"] >= star_wars_min_year]\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" ls='--', label=\"Average (all themes)\"\n",
");\n",
"ax.axvline(\n",
" rated_df[rated_df[\"Theme\"] == \"Star Wars\"]\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" color='C1', label=\"Star Wars sets\"\n",
");\n",
"\n",
"ax.set_yticks([]);\n",
"ax.legend(loc='upper left');\n",
"ax.set_title(f\"Average rating by theme\\n(Sets released after {star_wars_min_year})\");"
]
},
{
"cell_type": "markdown",
"id": "79d0def6",
"metadata": {},
"source": [
"Our subsequent analysis will attempt to control for both the year a set was released and other factors (piece count and price) more rigorously in order to see if this phenomenon persists.\n",
"\n",
"Turning to piece count and price, we see that a positive, fairly linear relationship between both of these characteristics and average rating."
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "1c809136",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pieces_price_grid = sns.pairplot(rated_df,\n",
" x_vars=[\"Pieces\", \"RRP2021\"],\n",
" y_vars=[\"Average rating\"],\n",
" plot_kws={'alpha': 0.25},\n",
" height=FIG_HEIGHT)\n",
"\n",
"for ax in pieces_price_grid.axes.flat:\n",
" ax.set_xscale('log');\n",
" \n",
"pieces_price_grid.axes[0, 1].set_xlabel(\"RRP (2021 $)\");"
]
},
{
"cell_type": "markdown",
"id": "d549bec0",
"metadata": {},
"source": [
"It is interesting to consider the causal nature of the relationship between piece count, price, and ratings. Clearly larger sets requiring more pieces have higher production costs and therefore higher retail prices. Higher priced sets probably also have to be of a better overall quality in order to justify the significant expense. I personally occasionally buy cheaper sets that I don't love if they have interesting components. I purchased [75299](https://brickset.com/sets/75299-1/Trouble-on-Tatooine) just to get Mando and the Child riding a speeder together (the rest of the bags went straight into my spare parts bin).\n",
"\n",
"<center>\n",
" <img src=\"https://images.brickset.com/sets/AdditionalImages/75299-1/75299_alt1.jpg\" width=500>\n",
"</center>\n",
"\n",
"Based on this discussion, the causal DAG for the relationship between piece count, price, and rating is as follows."
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "760ff5ff",
"metadata": {},
"outputs": [],
"source": [
"graph = nx.DiGraph()\n",
"graph.add_edges_from([\n",
" (\"Piece count\", \"Price\"),\n",
" (\"Piece count\", \"Rating\"),\n",
" (\"Price\", \"Rating\")\n",
"])"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "0bed861f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"POS = {\n",
" \"Piece count\": (1, 1),\n",
" \"Price\": (0, 0.5),\n",
" \"Rating\": (1, 0)\n",
"}\n",
"LABEL_POS = {\n",
" \"Piece count\": (0.97, 1.075),\n",
" \"Price\": (0, 0.575),\n",
" \"Rating\": (1, -0.075)\n",
"}\n",
"\n",
"nx.draw_networkx_nodes(graph, pos=POS, ax=ax);\n",
"nx.draw_networkx_edges(graph, pos=POS, ax=ax);\n",
"nx.draw_networkx_labels(graph, pos=LABEL_POS, ax=ax);\n",
"\n",
"ax.set_xticks([]);\n",
"ax.set_yticks([]);\n",
"ax.set_aspect('equal');"
]
},
{
"cell_type": "markdown",
"id": "13834758",
"metadata": {},
"source": [
"This discussion of causality is certainly interesting and may be worth future exploration, but we will not take the causal perspective for the rest of this post. Rather, our models will be interpreted descriptively, as tools that help us summarize the ratings of various groups of Lego sets.\n",
"\n",
"We conclude our exploratory data analysis by seeing where the ratings of the sets I own fall in the distribution of all rated sets. It appears that most of my sets are rated above average, because, of course, I have excellent taste."
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "bb3bf066",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = sns.kdeplot(rated_df[\"Average rating\"])\n",
"\n",
"sns.rugplot(rated_df[\"Average rating\"],\n",
" height=0.05, c='C0', ax=ax);\n",
"ax.axvline(rated_df[\"Average rating\"].mean(),\n",
" c='C0', ls='--', label=\"Average (all sets)\");\n",
"\n",
"sns.rugplot(\n",
" rated_df[rated_df[\"Austin owns\"]]\n",
" [\"Average rating\"],\n",
" height=0.05, c='C1', ax=ax\n",
");\n",
"ax.axvline(\n",
" rated_df[rated_df[\"Austin owns\"]]\n",
" [\"Average rating\"]\n",
" .mean(),\n",
" c='C1', label=\"Average (my sets)\"\n",
");\n",
"\n",
"ax.set_yticks([]);\n",
"ax.legend();"
]
},
{
"cell_type": "markdown",
"id": "33d05b1e",
"metadata": {},
"source": [
"## Modeling Ratings\n",
"\n",
"We will now build a few Bayesian models gradually incorporating the relationships we found during exploratory data analysis. The appropriate model for this type of data (ratings on a one-to-five star scale) is an [ordinal regression](https://en.wikipedia.org/wiki/Ordinal_regression) model. While the ratings are ostensibly numerical, and we may be tempted to model them using, for example, a normal likelihood, an ordinal regression model is more appropriate. While it is fairly safe to assume that a set I like a set that I give four stars better than a set that I give five starts, it is a much bigger assumption to say that the difference in how much I like these two sets is exactly the same as the difference between two sets that I rate with four and five stars just because $4 - 3 = 5 - 4$. Ordinal regression is a flexible model that acknowledges that the responses are ordered, but allows the distance between the categories of response to vary.\n",
"\n",
"Mathematically an ordinal regression model can be specified as followed. If we have $K$ response classes (in our case $K = 5$), we define $K - 1$ ascending cut points $c_1 < c_2 < \\ldots < c_{K - 1}$. Let $g: (0, 1) \\to \\mathbb{R}$ be a link function with $\\displaystyle{\\lim_{\\eta \\to 0}}\\ g(\\eta) = -\\infty$ and $\\displaystyle{\\lim_{\\eta \\to 1}}\\ g(\\eta) = \\infty$. The [logit](https://en.wikipedia.org/wiki/Generalized_linear_model#Logit_link_function) and [probit](https://en.wikipedia.org/wiki/Generalized_linear_model#Probit_link_function_as_popular_choice_of_inverse_cumulative_distribution_function) link functions are common choices, leading to ordinal regression models with slightly different interpretations. If $\\eta_i$ is a latent quantity related to the $i$-th observed rating (specifying the form of $\\eta_i$ is the most important part of our model and will occupy much of the rest of this post), then the probability that the rating $R_i$ is at most $k \\in {1, 2, \\ldots K}$ is\n",
"\n",
"$$\n",
"P(R_i \\leq k\\ |\\ \\eta_i) = g^{-1}(c_k - \\eta_i).\n",
"$$\n",
"\n",
"If we define $c_0 = -\\infty$, $c_K = \\infty$, $g^{-1}(-\\infty) = 0$ and $g^{-1}(\\infty) = 1$, we get\n",
"\n",
"$$P(R_i = k\\ |\\ \\eta_i) = P(R_i \\leq k\\ |\\ \\eta_i) - P(R_i \\leq k - 1\\ |\\ \\eta_i) = g^{-1}(c_k - \\eta_i) - g^{-1}(c_{k - 1} - \\eta_i)$$.\n",
"\n",
"To concretely illustrate the ordinal regression model, suppose there are $K = 3$ possible ratings, $c_1 = 0$, $c_2 = 2.3$, and we use the logistic link\n",
"\n",
"$$g^{-1}(\\eta) = \\frac{1}{1 + \\exp(-\\eta)}.$$\n",
"\n",
"An example of the rating probabilities given $\\eta$ are shown below."
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "8cdde48c",
"metadata": {},
"outputs": [],
"source": [
"C = np.array([0., 2.3])"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "10683f99",
"metadata": {},
"outputs": [],
"source": [
"η_plot = np.linspace(-2, 4, 100)\n",
"η_diff = (-np.subtract.outer(η_plot, C))\n",
"p_plot = np.diff(sp.special.expit(η_diff), prepend=0., append=1.)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "701d419e",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"\n",
"for k, c_plot in enumerate(C, start=1):\n",
" ax.axvline(c_plot,\n",
" c='k', ls='--', zorder=5,\n",
" label=f\"$c_{{{k}}} = {c_plot}$\");\n",
"\n",
"for k, p_plot_ in enumerate(p_plot.T):\n",
" ax.plot(η_plot, p_plot_, label=f\"$k = {k}$\");\n",
"\n",
"ax.set_xlim(-2, 4);\n",
"ax.set_xlabel(r\"$\\eta$\");\n",
"\n",
"ax.set_ylim(0, 1);\n",
"ax.yaxis.set_major_formatter(pct_formatter);\n",
"ax.set_ylabel(r\"$P(R = k \\|\\ \\eta)$\");\n",
"\n",
"ax.legend();\n",
"ax.set_title(\"Ordinal Regression Probabilities\");"
]
},
{
"cell_type": "markdown",
"id": "085c96bc",
"metadata": {},
"source": [
"Those familiar with common applications of ordinal regression and/or [psychometrics](https://en.wikipedia.org/wiki/Psychometrics) will recognize that we are quite close to having specified an ordered [item-response model](https://en.wikipedia.org/wiki/Item_response_theory). In a typical ordinal item-response model, the cut points $c_k$ are allowed to vary according to the item being rated and the latent quantity $\\eta$ is allowed to vary according to the item being rated and the person doing the rating. Unfortunately with our Brickset data, we have no information about the individual raters so we cannot form an item-response model. Instead, we will infer a fixed set of cutpoints and allow $\\eta$ to vary based on the set being rated.\n",
"\n",
"Intriguingly, Brickset also allows members to leave [reviews](https://brickset.com/reviews/year-2021) of specific sets which contain ratings along several dimensions. I have in fact scraped this review data, but exploratory data analysis shows that very few members rate more than one set, so I am not yet confident that I can build a useful item-response model using this data. Building such a model may be the topic of a future post, but for the moment we restrict our attention to the anonymous ratings we have explored above.,"
]
},
{
"cell_type": "markdown",
"id": "66679e52",
"metadata": {},
"source": [
"### Time\n",
"\n",
"Our first model attempts to capture the temporal dynamics of ratings based on the year in which the set was released, as shown above."
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "1de37b4a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"time_fig"
]
},
{
"cell_type": "markdown",
"id": "ea285bdd",
"metadata": {},
"source": [
"This focus on time (and set) effects will allow us to start by building a somewhat simple ordinal regression model in [`pymc3`](https://docs.pymc.io/).\n",
"\n",
"This model will use smoothing splines to model the effect of year on ratings and set-level random effects to capture the popularity of a set relative to the baeline popularity of all sets in the year it was released.\n",
"\n",
"We now establish some notation. Throughout, $i$ will denote the index of a set in `rated_df`. Let $N_i$ be the number of times that set was rated and $\\mathbf{R}_i = (R_{i, 1}, R_{i, 2}, R_{i, 3}, R_{i, 4}, R_{i, 5})$ be the number of one-, two-, three-, four-, and five-star ratings for the $i$-th set, respectively."
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "b6ab2c22",
"metadata": {},
"outputs": [],
"source": [
"n_rating = len(RATING_COLS)\n",
"n_cut = n_rating - 1\n",
"\n",
"ratings_ct = rated_df[RATING_COLS].values\n",
"ratings = rated_df[\"Ratings\"].values"
]
},
{
"cell_type": "markdown",
"id": "d6003bf6",
"metadata": {},
"source": [
"Let $t(i)$ be (the index of) the year that the $i$-th set was released."
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "4ea64984",
"metadata": {},
"outputs": [],
"source": [
"t, year_map = rated_df[\"Year released\"].factorize(sort=True)\n",
"n_year = year_map.size"
]
},
{
"cell_type": "markdown",
"id": "9241bc07",
"metadata": {},
"source": [
"In our first model, we have\n",
"\n",
"$$\\eta_i = f_{t(i)} + \\beta_{\\text{set}, i}.$$\n",
"\n",
"Here $f_t$ is a smoothing spline meant to capture the average rating of sets released in the $t$-th year. This post will not cover in depth the process for specifying a Bayesian smoothing spline. Interested readers should consult a previous [post](https://austinrochford.com/posts/2021-08-11-splines-hetero.html) of mine for details."
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "783d5741",
"metadata": {},
"outputs": [],
"source": [
"N_KNOT = 10\n",
"\n",
"knots = np.linspace(0, n_year, N_KNOT)\n",
"bf = sp.interpolate.BSpline(knots, np.eye(N_KNOT), 3)\n",
"t_dmat = bf(np.arange(n_year))"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "1e17564e",
"metadata": {},
"outputs": [],
"source": [
"coords = {\n",
" \"cut\": np.arange(n_cut),\n",
" \"rating\": RATING_COLS,\n",
" \"knot\": np.arange(N_KNOT),\n",
" \"set\": rated_df.index.values,\n",
" \"year\": year_map\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "e8cf121d",
"metadata": {},
"outputs": [],
"source": [
"SEED = 123456789 # for reproducibility"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "972027b5",
"metadata": {},
"outputs": [],
"source": [
"with pm.Model(coords=coords, rng_seeder=SEED) as model:\n",
" β_t_inc = pm.Normal(\"β_t_inc\", 0., 0.1, dims=\"knot\")\n",
" β_t = β_t_inc.cumsum()\n",
" f_t = pm.Deterministic(\"f_t\", at.dot(t_dmat, β_t), dims=\"year\")"
]
},
{
"cell_type": "markdown",
"id": "7473312a",
"metadata": {},
"source": [
"The set-level random effects $\\beta_{\\text{set}, i}$ follow a hierarchical normal distribution equivalent to\n",
"\n",
"$$\n",
"\\begin{align*}\n",
" \\sigma_{\\beta_{\\text{set}}}\n",
" & \\sim \\text{Half}-N\\left(2.5^2\\right) \\\\\n",
" \\beta_{\\text{set}, i}\n",
" & \\sim N\\left(0, \\sigma_{\\beta_{\\text{set}}}^2\\right).\n",
"\\end{align*}\n",
"$$\n",
"\n",
"In practice, we use an equivalent [non-centered parametrization](https://twiecki.io/blog/2017/02/08/bayesian-hierchical-non-centered/) that samples better in practice than this more mathematically elegant one.\n",
"\n",
"Note that it is important that the prior expected value of $\\eta_i$ be fixed (in our case it is zero), otherwise model will not be [identified](https://en.wikipedia.org/wiki/Identifiability). If the prior expected value is not fixed, adding any constant to the cutpoints and $\\eta$ will produce the same likelihood."
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "6a46dab1",
"metadata": {},
"outputs": [],
"source": [
"# the scale necessary to make a halfnormal distribution\n",
"# have unit variance\n",
"HALFNORMAL_SCALE = 1. / np.sqrt(1. - 2. / np.pi)\n",
"\n",
"def noncentered_normal(name, *, dims, μ=None, σ=2.5):\n",
" if μ is None:\n",
" μ = pm.Normal(f\"μ_{name}\", 0., 2.5)\n",
"\n",
" Δ = pm.Normal(f\"Δ_{name}\", 0., 1., dims=dims)\n",
" σ = pm.HalfNormal(f\"σ_{name}\", σ * HALFNORMAL_SCALE)\n",
"\n",
" return pm.Deterministic(name, μ + Δ * σ, dims=dims)"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "068dc5d0",
"metadata": {},
"outputs": [],
"source": [
"with model:\n",
" β_set = noncentered_normal(\"β_set\", dims=\"set\", μ=0.)\n",
"\n",
" η = f_t[t] + β_set"
]
},
{
"cell_type": "markdown",
"id": "a2dfdfda",
"metadata": {},
"source": [
"We place a $N\\left(0, 2.5^2\\right)$ squared prior on the cutpoints, constraining them to be ordered with the keyword argument `transform=pm.transforms.ordered`."
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "861a77f0",
"metadata": {},
"outputs": [],
"source": [
"with model:\n",
" c = pm.Normal(\"c\", 0., 2.5, dims=\"cut\",\n",
" transform=pm.transforms.ordered,\n",
" initval=coords[\"cut\"])"
]
},
{
"cell_type": "markdown",
"id": "b669ffb6",
"metadata": {},
"source": [
"It now remains to specify the likelihood of the observed rankings. Since the data we have is the count of ratings for each number of stars, an ordered [multinomial](https://en.wikipedia.org/wiki/Multinomial_distribution) model is appropriate."
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "389a40ee",
"metadata": {},
"outputs": [],
"source": [
"with model:\n",
" ratings_obs = pm.OrderedMultinomial(\n",
" \"ratings_obs\", η, c, ratings,\n",
" dims=(\"set\", \"rating\"),\n",
" observed=ratings_ct\n",
" )"
]
},
{
"cell_type": "markdown",
"id": "675f18a1",
"metadata": {},
"source": [
"We are now ready to sample from this model's posterior distribution."
]
},
{
"cell_type": "code",
"execution_count": 55,
"id": "5bfda562",
"metadata": {},
"outputs": [],
"source": [
"CORES = 3\n",
"\n",
"SAMPLE_KWARGS = {\n",
" 'cores': CORES,\n",
" 'random_seed': [SEED + i for i in range(CORES)]\n",
"}"
]
},
{
"cell_type": "code",
"execution_count": 56,
"id": "cffe6743",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"Multiprocess sampling (3 chains in 3 jobs)\n",
"NUTS: [β_t_inc, Δ_β_set, σ_β_set, c]\n"
]
},
{
"data": {
"text/html": [
"\n",
" <div>\n",
" <style>\n",
" /* Turns off some styling */\n",
" progress {\n",
" /* gets rid of default border in Firefox and Opera. */\n",
" border: none;\n",
" /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
" background-size: auto;\n",
" }\n",
" .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
" background: #F44336;\n",
" }\n",
" </style>\n",
" <progress value='6000' class='' max='6000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
" 100.00% [6000/6000 20:39<00:00 Sampling 3 chains, 0 divergences]\n",
" </div>\n",
" "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"Sampling 3 chains for 1_000 tune and 1_000 draw iterations (3_000 + 3_000 draws total) took 1242 seconds.\n",
"The number of effective samples is smaller than 10% for some parameters.\n"
]
}
],
"source": [
"with model:\n",
" trace = pm.sample(**SAMPLE_KWARGS)"
]
},
{
"cell_type": "markdown",
"id": "729ad624",
"metadata": {},
"source": [
"Standard sampling diagnostics show no cause for concern."
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "100f02c5",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 576x432 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"az.plot_energy(trace);"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "3e2ef808",
"metadata": {},
"outputs": [
{
"data": {
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"\n",
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"\n",
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"</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
"Dimensions: ()\n",
"Data variables:\n",
" β_t_inc float64 1.026\n",
" Δ_β_set float64 1.008\n",
" σ_β_set float64 1.012\n",
" c float64 1.002\n",
" f_t float64 1.005\n",
" β_set float64 1.008\n",
" ratings_obs_probs float64 1.008</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-773555b4-b20d-4652-9afb-5cdbaa660d6e' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-773555b4-b20d-4652-9afb-5cdbaa660d6e' class='xr-section-summary' title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-b347ff89-8569-4785-b830-4d42e65dfa39' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-b347ff89-8569-4785-b830-4d42e65dfa39' class='xr-section-summary' title='Expand/collapse section'>Coordinates: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'></ul></div></li><li class='xr-section-item'><input id='section-5c26e9c2-0131-4bc1-ac86-ceb96b5bec4c' class='xr-section-summary-in' type='checkbox' checked><label for='section-5c26e9c2-0131-4bc1-ac86-ceb96b5bec4c' class='xr-section-summary' >Data variables: <span>(7)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span>β_t_inc</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.026</div><input id='attrs-7cc05116-4635-40e9-9cfb-5afdebf3dc23' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7cc05116-4635-40e9-9cfb-5afdebf3dc23' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9dd7f08c-99ce-48a0-a4ac-48d185b5269d' class='xr-var-data-in' type='checkbox'><label for='data-9dd7f08c-99ce-48a0-a4ac-48d185b5269d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(1.02632683)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>Δ_β_set</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.008</div><input id='attrs-132b942d-4a2a-46b5-b5d8-149cc2f100b9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-132b942d-4a2a-46b5-b5d8-149cc2f100b9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ee62f4ef-0a7e-453b-b101-a1431e87b91e' class='xr-var-data-in' type='checkbox'><label for='data-ee62f4ef-0a7e-453b-b101-a1431e87b91e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(1.00845271)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>σ_β_set</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.012</div><input id='attrs-f503c4af-cec2-4b88-b534-486ba47afff3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-f503c4af-cec2-4b88-b534-486ba47afff3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c8c762dd-3b0f-4d79-af19-0d002179707a' class='xr-var-data-in' type='checkbox'><label for='data-c8c762dd-3b0f-4d79-af19-0d002179707a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(1.01168363)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>c</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.002</div><input id='attrs-c705a0aa-ce18-43f9-a46d-046d1c562d67' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c705a0aa-ce18-43f9-a46d-046d1c562d67' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-092c315a-fe45-4f71-b0cd-0cd58d740ed3' class='xr-var-data-in' type='checkbox'><label for='data-092c315a-fe45-4f71-b0cd-0cd58d740ed3' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(1.00193278)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>f_t</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.005</div><input id='attrs-22d20ee8-dc07-4f7d-93c7-0985ddc03670' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-22d20ee8-dc07-4f7d-93c7-0985ddc03670' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ef184ec4-6ba6-4f27-9cb8-9a23f0c94bdc' class='xr-var-data-in' type='checkbox'><label for='data-ef184ec4-6ba6-4f27-9cb8-9a23f0c94bdc' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(1.00537883)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>β_set</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.008</div><input id='attrs-205fd90d-a7a6-42b1-8eb7-0aa3f94eead4' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-205fd90d-a7a6-42b1-8eb7-0aa3f94eead4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d590333a-4240-4c50-849b-a432dbddf061' class='xr-var-data-in' type='checkbox'><label for='data-d590333a-4240-4c50-849b-a432dbddf061' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(1.00826612)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>ratings_obs_probs</span></div><div class='xr-var-dims'>()</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.008</div><input id='attrs-99f56b05-5d58-41bf-88ce-d7d9607009a3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-99f56b05-5d58-41bf-88ce-d7d9607009a3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-23961389-63f2-433a-a861-d25a3d2ad4c5' class='xr-var-data-in' type='checkbox'><label for='data-23961389-63f2-433a-a861-d25a3d2ad4c5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array(1.00845441)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-0e42943f-8e1b-4f3f-839c-b6d8c14131fd' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-0e42943f-8e1b-4f3f-839c-b6d8c14131fd' class='xr-section-summary' title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
],
"text/plain": [
"<xarray.Dataset>\n",
"Dimensions: ()\n",
"Data variables:\n",
" β_t_inc float64 1.026\n",
" Δ_β_set float64 1.008\n",
" σ_β_set float64 1.012\n",
" c float64 1.002\n",
" f_t float64 1.005\n",
" β_set float64 1.008\n",
" ratings_obs_probs float64 1.008"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"az.rhat(trace).max()"
]
},
{
"cell_type": "markdown",
"id": "5b5569c5",
"metadata": {},
"source": [
"The following plots show that this model has captured the temporal dynamics of set ratings fairly well."
]
},
{
"cell_type": "code",
"execution_count": 59,
"id": "e1a7eb10-4477-48ef-813d-b8443d5428a4",
"metadata": {},
"outputs": [],
"source": [
"set_xr = (rated_df[[\"Year released\", \"Theme\", \"Subtheme\"]]\n",
" .rename_axis(\"set\")\n",
" .rename(columns={\n",
" \"Year released\": \"year\",\n",
" \"Theme\": \"theme\",\n",
" \"Subtheme\": \"sub\"\n",
" })\n",
" .to_xarray())"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "3d21e396",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(\n",
" ncols=2, sharex=True,\n",
" figsize=(1.75 * FIG_WIDTH, FIG_HEIGHT)\n",
")\n",
"\n",
"(rated_df[\"Average rating\"]\n",
" .groupby(rated_df[\"Year released\"])\n",
" .mean()\n",
" .rolling(5, min_periods=1)\n",
" .mean()\n",
" .plot(ax=axes[0]));\n",
"(trace.posterior[\"ratings_obs_probs\"]\n",
" .pipe(average_rating)\n",
" .mean(dim=(\"chain\", \"draw\"))\n",
" .groupby(set_xr[\"year\"])\n",
" .mean()\n",
" .to_dataframe(name=\"Posterior\\nexpected value\")\n",
" .rolling(5, min_periods=1)\n",
" .mean()\n",
" .plot(c='k', ls='--', ax=axes[0]));\n",
"\n",
"axes[0].set_ylim(3.4, 4.6);\n",
"axes[0].set_yticks([3.5, 4, 4.5]);\n",
"axes[0].set_yticklabels([\"✭✭✭ ½\", \"✭✭✭✭\", \"✭✭✭✭ ½\"]);\n",
"axes[0].set_ylabel(\"Average set rating\");\n",
"\n",
"(rated_df[RATING_COLS]\n",
" .div(rated_df[RATING_COLS].sum(axis=1),\n",
" axis=0)\n",
" .groupby(rated_df[\"Year released\"])\n",
" .mean()\n",
" .rolling(5, min_periods=1)\n",
" .mean()\n",
" .iloc[:, ::-1]\n",
" .plot(ax=axes[1]));\n",
"(trace.posterior[\"ratings_obs_probs\"]\n",
" .mean(dim=(\"chain\", \"draw\"))\n",
" .groupby(set_xr[\"year\"])\n",
" .mean(dim=\"set\")\n",
" .to_dataframe()\n",
" .unstack(level=\"rating\")\n",
" [\"ratings_obs_probs\"]\n",
" .rolling(5, min_periods=1)\n",
" .mean()\n",
" .plot(c='k', ls='--', legend=False,\n",
" ax=axes[1]));\n",
"\n",
"axes[1].yaxis.set_major_formatter(pct_formatter);\n",
"axes[1].set_ylabel(\"Average percentage of ratings\");"
]
},
{
"cell_type": "markdown",
"id": "3ac612e9",
"metadata": {},
"source": [
"We'll refine this model before we start interpreting set-level effects, but it is instructive to consider, even in this simple model, the effect of hierarchical shrinkage on sets with the fewest and the most reviews."
]
},
{
"cell_type": "code",
"execution_count": 61,
"id": "d05d7f2b",
"metadata": {},
"outputs": [],
"source": [
"def make_row_set_label(row):\n",
" return f\"{row['Name']} ({row.name})\"\n",
"\n",
"def make_set_label(set_df):\n",
" return set_df.apply(make_row_set_label, axis=1)"
]
},
{
"cell_type": "code",
"execution_count": 62,
"id": "4b78d5d9",
"metadata": {},
"outputs": [],
"source": [
"total_ratings_argsorted = ratings_ct.sum(axis=1).argsort()\n",
"fewest_total_ratings = total_ratings_argsorted[:10]\n",
"most_total_ratings = total_ratings_argsorted[-10:]"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "b84cafc3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x432 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(\n",
" ncols=2, sharex=True,\n",
" figsize=(1.75 * FIG_WIDTH, FIG_HEIGHT)\n",
")\n",
"\n",
"az.plot_forest(\n",
" trace, var_names=[\"ratings_obs_probs\"],\n",
" transform=average_rating,\n",
" coords={\"set\": coords[\"set\"][fewest_total_ratings]},\n",
" combined=True, ax=axes[0]\n",
");\n",
"axes[0].scatter(\n",
" rated_df[\"Average rating\"]\n",
" .iloc[fewest_total_ratings]\n",
" .iloc[::-1]\n",
" .values,\n",
" axes[0].get_yticks(),\n",
" c='k', zorder=5,\n",
" label=\"Actual\"\n",
");\n",
"\n",
"axes[0].set_xlabel(\"Average rating\");\n",
"axes[0].set_yticklabels(make_set_label(\n",
" rated_df.iloc[fewest_total_ratings]\n",
" .iloc[::-1]\n",
"));\n",
"\n",
"axes[0].legend();\n",
"axes[0].set_title(\"Sets with the fewest ratings\");\n",
"\n",
"az.plot_forest(\n",
" trace, var_names=[\"ratings_obs_probs\"],\n",
" transform=average_rating,\n",
" coords={\"set\": coords[\"set\"][most_total_ratings]},\n",
" combined=True, ax=axes[1]\n",
");\n",
"axes[1].scatter(\n",
" rated_df[\"Average rating\"]\n",
" .iloc[most_total_ratings]\n",
" .iloc[::-1],\n",
" axes[1].get_yticks(),\n",
" c='k', zorder=5,\n",
" label=\"Actual\"\n",
");\n",
"\n",
"axes[1].set_xlabel(\"Average rating\");\n",
"\n",
"axes[1].yaxis.tick_right();\n",
"axes[1].set_yticklabels(make_set_label(\n",
" rated_df.iloc[most_total_ratings]\n",
" .iloc[::-1]\n",
"));\n",
"\n",
"axes[1].set_title(\"Sets with the most ratings\");\n",
"\n",
"fig.tight_layout();"
]
},
{
"cell_type": "markdown",
"id": "452efffd",
"metadata": {},
"source": [
"There are two interesting elements in these plots. First is that the posterior credible intervals are much larger for the sets with the fewest ratings and for those with the most ratings. This makes perfect sense, as we have much more information about the sets on the right. The second is that the posterior expected ratings for the sets with the fewest ratings are significantly further from their true values than those for the sets with the most ratings. This is reflective of the fact that our hierarcical model shrinks the observed ratings towards the average rating for the year that set was released. This shrinkage applies more to sets with fewer reviews, resulting in the behavior show by the plot on the left."
]
},
{
"cell_type": "markdown",
"id": "cde81638",
"metadata": {},
"source": [
"### Full model\n",
"\n",
"The full model we will use to interpret set ratings takes into account not only the year in which the set was released but also its theme and subtheme (taxonomic categories of related sets) and its piece count and price.\n",
"\n",
"This model includes year- and set-effects in the same way as the previous one."
]
},
{
"cell_type": "code",
"execution_count": 64,
"id": "ec9fb244-9203-4540-bf3b-42176e8ece1b",
"metadata": {},
"outputs": [],
"source": [
"theme_id, theme_map = rated_df[\"Theme\"].factorize(sort=True)"
]
},
{
"cell_type": "code",
"execution_count": 65,
"id": "b56300b3-f59a-4188-b411-c296abb550e8",
"metadata": {},
"outputs": [],
"source": [
"sub_id, sub_map = (rated_df[\"Subtheme\"]\n",
" .fillna(\"None\")\n",
" .factorize(sort=True))\n",
"n_sub = sub_map.size"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "2bc09556-252a-4ac8-8555-9cef54c4a28e",
"metadata": {},
"outputs": [],
"source": [
"coords[\"sub\"] = sub_map\n",
"coords[\"theme\"] = theme_map"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "01e262e4-385d-4b80-a93e-9d3249dbad47",
"metadata": {},
"outputs": [],
"source": [
"with pm.Model(coords=coords, rng_seeder=SEED) as full_model:\n",
" β_t_inc = pm.Normal(\"β_t_inc\", 0., 0.1, dims=\"knot\")\n",
" β_t = β_t_inc.cumsum()\n",
" f_t = pm.Deterministic(\"f_t\", at.dot(t_dmat, β_t), dims=\"year\")\n",
" \n",
" β_set = noncentered_normal(\"β_set\", dims=\"set\", μ=0.)"
]
},
{
"cell_type": "markdown",
"id": "8f1f3d25-3525-4c07-81d9-7a98c8562b57",
"metadata": {},
"source": [
"As shown in our exploratory data analysis, there is a fairly linear relationship between log piece count and log RRP and a set's average rating."
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "22b2d711",
"metadata": {},
"outputs": [
{
"data": {
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