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@alyferryhalo
Created June 22, 2021 17:30
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whitenoise_statsmodels.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "whitenoise_statsmodels.ipynb",
"provenance": [],
"collapsed_sections": [],
"authorship_tag": "ABX9TyNQkFE0WVRylgOv4l6fB6Hb",
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
},
"language_info": {
"name": "python"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"<a href=\"https://colab.research.google.com/gist/alyferryhalo/4b913360fdf8d9fda09b4d6489938bbe/untitled5.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "4F_1d5v5Vx_2"
},
"source": [
"# Введение\n",
"В качестве тренировки я нашла датасет от Procter & Gamble в рамках виртуальной стажировки Shift+Enter от Challenge >>.\n",
"\n",
"## Датасет\n",
"Для выполнения задания я пользовалась открытым датасетом [ shampoo_sales.csv,](https://www.kaggle.com/redwankarimsony/shampoo-saled-dataset) содержащим данные о ежемесячном объёме продаж шампуня за трехлетний период (всего 36 наблюдений).\n",
"\n",
"## Задача\n",
"Дополнить код и получить еще два графика, которые нужны для анализа\n",
"трендов и сезонности.\n",
"\n",
"## Дополнительная информация\n",
"\n",
"Существует несколько способов определения **трендов** во временных рядах, один из которых связан с использованием **скользящего среднего** (a rolling average). Это когда мы берем для каждой точки временного ряда среднее значение точек по обе стороны от нее. Такой подход позволяет сглаживать шум и влияние сезонности, выделять определенный тренд в\n",
"данных, если он есть.\n",
"\n",
"Что касается **поиска сезонных закономерностей** в данных, то, наоборот, нужно **удалить тренд** временного ряда, чтобы было легче поймать сезонность. Для графического представления сезонности можно находить разность между последовательными точками данных, называемую **разностью первого порядка** (first-order difference).\n",
"\n",
"Hints. В Pandas есть функции rolling и diff, которые ты должен использовать для построения графиков. В коде комментарием укажи, такой тренд наблюдается для данных по продаже шампуня, если выбрать размер окна равным шести, а также сделай вывод про сезонность.\n",
"\n",
"## Полезная информация\n",
"[Анализ временных рядов - тренд,\n",
"сезонность, шум - Электронный учебник K-tree](https://k-tree.ru/articles/statistika/prognozirovanie/analiz_vremennih_ryadov)"
]
},
{
"cell_type": "code",
"metadata": {
"id": "j5DfHKC5VwEG",
"colab": {
"base_uri": "https://localhost:8080/"
},
"outputId": "8d20d7c3-b62b-4474-cf57-f1c27e241da1"
},
"source": [
"import io\n",
"from io import BytesIO\n",
"from google.colab import files\n",
"\n",
"import csv\n",
"import numpy as np\n",
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"from statsmodels.tsa.seasonal import seasonal_decompose"
],
"execution_count": 1,
"outputs": [
{
"output_type": "stream",
"text": [
"/usr/local/lib/python3.7/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
" import pandas.util.testing as tm\n"
],
"name": "stderr"
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"resources": {
"http://localhost:8080/nbextensions/google.colab/files.js": {
"data": 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"ok": true,
"headers": [
[
"content-type",
"application/javascript"
]
],
"status": 200,
"status_text": "OK"
}
},
"base_uri": "https://localhost:8080/",
"height": 72
},
"id": "KdSgnMI5s9rS",
"outputId": "2efd6e1e-e642-43a5-b793-b6093cc3b083"
},
"source": [
"uploaded = files.upload()"
],
"execution_count": 2,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/html": [
"\n",
" <input type=\"file\" id=\"files-e4e33d7d-3491-4671-919e-36f8a02d1d51\" name=\"files[]\" multiple disabled\n",
" style=\"border:none\" />\n",
" <output id=\"result-e4e33d7d-3491-4671-919e-36f8a02d1d51\">\n",
" Upload widget is only available when the cell has been executed in the\n",
" current browser session. Please rerun this cell to enable.\n",
" </output>\n",
" <script src=\"/nbextensions/google.colab/files.js\"></script> "
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {
"tags": []
}
},
{
"output_type": "stream",
"text": [
"Saving shampoo_sales.csv to shampoo_sales.csv\n"
],
"name": "stdout"
}
]
},
{
"cell_type": "code",
"metadata": {
"id": "b3Dy2YQbv0zj"
},
"source": [
"data = pd.read_csv(io.BytesIO(uploaded['shampoo_sales.csv']))"
],
"execution_count": 3,
"outputs": []
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"id": "-Jc7r0Eyv59C",
"outputId": "2d67d3ad-ba40-4951-f105-da5ce1982a70"
},
"source": [
"data.head()"
],
"execution_count": 4,
"outputs": [
{
"output_type": "execute_result",
"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>Month</th>\n",
" <th>Sales</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>1-01</td>\n",
" <td>266.0</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1-02</td>\n",
" <td>145.9</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>1-03</td>\n",
" <td>183.1</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>1-04</td>\n",
" <td>119.3</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>1-05</td>\n",
" <td>180.3</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Month Sales\n",
"0 1-01 266.0\n",
"1 1-02 145.9\n",
"2 1-03 183.1\n",
"3 1-04 119.3\n",
"4 1-05 180.3"
]
},
"metadata": {
"tags": []
},
"execution_count": 4
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 300
},
"id": "HGcezAzEwC0p",
"outputId": "cd20a211-b05a-4164-eb21-d060d69849ce"
},
"source": [
"data.describe()"
],
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"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>Sales</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>36.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>312.600000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>148.937164</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>119.300000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>192.450000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>280.150000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>411.100000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>682.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Sales\n",
"count 36.000000\n",
"mean 312.600000\n",
"std 148.937164\n",
"min 119.300000\n",
"25% 192.450000\n",
"50% 280.150000\n",
"75% 411.100000\n",
"max 682.000000"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 624
},
"id": "tnXDmYGiw488",
"outputId": "956d832a-f00e-4e01-8d51-fdb761d13316"
},
"source": [
"sales = data[['Sales']]\n",
"sales.plot(figsize=(12,10),linewidth=5, fontsize=20)\n",
"plt.xlabel('Month', fontsize=20)\n",
"plt.ylabel('Sales per month',fontsize=20)\n",
"plt.show()"
],
"execution_count": 6,
"outputs": [
{
"output_type": "display_data",
"data": {
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\n",
"text/plain": [
"<Figure size 864x720 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "bNrGaGS63EHk"
},
"source": [
"Компоненты временного ряда:\n",
"\n",
"* **уровень:** Среднее значение в серии\n",
"* **тенденция:** Увеличение или уменьшение значения в серии\n",
"* **сезонность:** Повторяющийся краткосрочный цикл в серии\n",
"* **шум:** Случайное изменение в ряду"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "aJ3hZsmy3kyM"
},
"source": [
"Есть методы для автоматического разложения временного ряда.\n",
"\n",
"Библиотека [**statsmodels** ](https://www.statsmodels.org/stable/index.html) обеспечивает реализацию простого или классического метода декомпозиции в функции, называемой `seasonal_decompose()`"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "I8DmEtQr6rmC"
},
"source": [
"Попробуем сначала аддитивное разложение:"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 297
},
"id": "imAhkHUQSlr9",
"outputId": "7f8a64e5-91f2-4832-947f-f855fc1122ed"
},
"source": [
"result = seasonal_decompose(sales, model='additive', freq=1)\n",
"result.plot()\n",
"plt.show()"
],
"execution_count": 7,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 4 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "vX2MgFm06utr"
},
"source": [
"Мультипликативное Разложение"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 297
},
"id": "JE85A7me6xmn",
"outputId": "0e63accb-754b-4965-f545-4e5efcebcb8d"
},
"source": [
"result = seasonal_decompose(sales, model='multiplicative', freq=1)\n",
"result.plot()\n",
"plt.show()"
],
"execution_count": 8,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 4 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "3KzEZNxUwiHv"
},
"source": [
"## Белый шум"
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "UFNEcTxXwhmZ",
"outputId": "3bd2d68c-2d82-4eb5-b14f-a0ab590f2752"
},
"source": [
"from random import gauss\n",
"from random import seed\n",
"from pandas import Series\n",
"from pandas.plotting import autocorrelation_plot\n",
"seed(1)\n",
"series = [gauss(0.0, 1.0) for i in range(1000)]\n",
"series = Series(series)\n",
"series.describe()"
],
"execution_count": 10,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"count 1000.000000\n",
"mean -0.013222\n",
"std 1.003685\n",
"min -2.961214\n",
"25% -0.684192\n",
"50% -0.010934\n",
"75% 0.703915\n",
"max 2.737260\n",
"dtype: float64"
]
},
"metadata": {
"tags": []
},
"execution_count": 10
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 269
},
"id": "ARJMRSkxxAbH",
"outputId": "ceabd53a-f8d2-4178-f494-0a8a03ed1479"
},
"source": [
"series.plot()\n",
"plt.show()"
],
"execution_count": 11,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 265
},
"id": "5kleX8wrxE-X",
"outputId": "a2bc28c5-2e8c-4409-88ee-7346edd989f7"
},
"source": [
"series.hist()\n",
"plt.show()"
],
"execution_count": 12,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
},
{
"cell_type": "code",
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 283
},
"id": "KrwmJ63BxJOv",
"outputId": "f4cd3a84-614a-4500-ed6a-9a96a7019f30"
},
"source": [
"autocorrelation_plot(series)\n",
"plt.show()"
],
"execution_count": 13,
"outputs": [
{
"output_type": "display_data",
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"tags": [],
"needs_background": "light"
}
}
]
}
]
}
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