Skip to content

Instantly share code, notes, and snippets.

@drorata
Last active February 21, 2022 10:46
Show Gist options
  • Save drorata/ab7005cd912d237ef7b498fbba1d3bdf to your computer and use it in GitHub Desktop.
Save drorata/ab7005cd912d237ef7b498fbba1d3bdf to your computer and use it in GitHub Desktop.
Some discussion around A/B Tests
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"!pip install pandas scipy statsmodels ipywidgets matplotlib seaborn"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"from scipy import stats\n",
"\n",
"from statsmodels.stats import proportion\n",
"from statsmodels.stats import power\n",
"\n",
"from ipywidgets import interact\n",
"import ipywidgets as widgets\n",
"\n",
"%matplotlib inline\n",
"import seaborn as sns\n",
"import matplotlib.pyplot as plt\n",
"plt.style.use('ggplot')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Preface\n",
"\n",
"This tutorial is about analysis of the results obtained from A/B(/C...) tests.\n",
"Naturally, it is assumed that the test itself was conducted adequately (e.g. [this check list](https://blog.hubspot.com/marketing/a-b-test-checklist)).\n",
"In general, each observation in this tutorial is obtained either from the control group or the variant one.\n",
"Furthermore, a flag whether the observation converted or not (clicked or not) will be assigned.\n",
"Lastly, a value (purchase value for instance) of the observation is provided as well.\n",
"\n",
"In this case we can focus the test on either:\n",
"\n",
"* differences between the click through rate (CTR) of each group, or\n",
"* differences in the means of the value of the observations in each group.\n",
"\n",
"Let $p_0$ and $p_a$ be the metrics we are interested in (CTR, CR, avg. value, etc.) \n",
"We consider one-tailed or two-tailed hypothesis testing:\n",
"\n",
"| | $H_0$ | $H_a$ |\n",
"|-----|------|------|\n",
"|One-tailed| $p_0 \\leq p_a$ | $p_0 > p_a$ |\n",
"|One-tailed| $p_0 \\geq p_a$ | $p_0 < p_a$ |\n",
"|Two-tailed| $p_0 = p_a$ | $p_0 \\neq p_a$|\n",
"\n",
"This tutorial first focuses on the latter case.\n",
"A common and repeating question is how to check the significance of the results of an A/B test.\n",
"[Matt Brems](https://stats.stackexchange.com/a/178860/54320) provided a very nice summary.\n",
"I wanted to compare two of the tests suggested:\n",
"\n",
"- [$z$-test](https://en.wikipedia.org/wiki/Z-test)\n",
"- [$\\chi^2$-test](https://en.wikipedia.org/wiki/Chi-squared_test)\n",
"\n",
"For the interested reader, here are some more resources:\n",
"\n",
"- \"Tests of Hypotheses Using Statistics\" by Massey and Miller [(link)](https://web.williams.edu/Mathematics/sjmiller/public_html/BrownClasses/162/Handouts/StatsTests04.pdf)\n",
"\n",
"\n",
"### The plan\n",
"\n",
"Let $N = \\{n_1, \\ldots, n_u\\}$ be a list of integers and $\\Delta = \\{ \\delta_1, \\ldots, \\delta_v\\}$ be a list of real numbers.\n",
"For each $n \\in N$ and $\\delta \\in \\Delta$ generate synthetic results of an A/B test.\n",
"In particular the control and variant groups would have $\\sim n$ observations.\n",
"Furthermore, the control set would have a fixed $\\mathrm{CTR}$ (click through rate) and the variant will have conversion rate of $\\mathrm{CTR} + \\delta$.\n",
"All in all, $u \\times v$ results are considered.\n",
"\n",
"#### The null hypothesis\n",
"\n",
"The null hypothesis is that the CTR of the control and variant groups is the same, independently of the treatment; see the two-tailed case above.\n",
"For each synthetic result compute the $p$-value using a $z$-test and a $\\chi^2$-test.\n",
"In general, you should expect that the smaller $n$ (i.e. fewer observations per group) is and the larger $\\delta$ (i.e. the difference between the CTRs is larger), the resulting $p$-value would be larger and in turn indicating that there is no reason to reject $H_0$.\n",
"\n",
"## Generate data\n",
"\n",
"### Groups' sizes\n",
"\n",
"In reality, even though we assume the users are split randomly and evenly, the final groups' sizes are not identical.\n",
"Therefore, we randomize the group size"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def rand_group_size(N, tol=0.05):\n",
" return N + np.random.randint(\n",
" min(-tol * N, -1), \n",
" max(tol * N, 1) + 1)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Event's value\n",
"\n",
"For each successful event we assign a value.\n",
"To that end we use a truncated uniform distribution providing the `low` and `up` values, together with the mean (`mu`) and standard deviation (`sigma`)."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def rand_values(low, up, mu, sigma, N):\n",
" return stats.truncnorm(\n",
" (low - mu) / sigma,\n",
" (up - mu) / sigma,\n",
" loc=mu, scale=sigma).rvs(N)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Generating the data for a group\n",
"\n",
"When generating an observation, the following features are randomized:\n",
"\n",
"* The group size; controlled by `N` (~size) and `N_tol`. See `rand_group_size`\n",
"* Name of the group. Normally `control` or `var`. Adjusted by `treat`.\n",
"* Event converted or not; controlled by `ctr`\n",
"* In case of conversion what was the value; controlled by: `min_val`, `max_val`, `mean_val` and `std_val`\n",
"* What day of the test is it; controlled by number of `days` and the distribution `days_dist`"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def generate_group_observations(N=1000, N_tol=0.05,\n",
" treat='control',\n",
" ctr=0.2,\n",
" min_val=None, max_val=None,\n",
" mean_val=None, std_val=None,\n",
" days=7, days_dist=[1/7] * 7,\n",
" verbose=True,\n",
" seed=42\n",
" ):\n",
" if verbose:\n",
" print('Generating ~{N} samples with tolerance {tol}'.format(N=N, tol=N_tol))\n",
" print('CTR: {ctr}'.format(ctr=ctr))\n",
" print('Min value: {min_val} / Max value: {max_val}'.format(min_val=min_val,\n",
" max_val=max_val))\n",
" print('Value mean: {mean_val} / Value STD: {std_val}'.format(mean_val=mean_val,\n",
" std_val=std_val))\n",
" print('Generating observation over {days} days with {dist} as the distribution'.format(\n",
" days=days, dist=days_dist\n",
" ))\n",
" if seed is not None:\n",
" np.random.seed(seed)\n",
" N = rand_group_size(N=N, tol=N_tol)\n",
" converts = np.random.choice([0, 1], size=N, p=[1 - ctr, ctr])\n",
" values = np.multiply(rand_values(min_val, max_val, mean_val, std_val, N), converts)\n",
" day = np.random.choice(np.arange(0, days), p=days_dist, size=N)\n",
" return pd.DataFrame(\n",
" {\n",
" \"Treat\": [treat] * N,\n",
" \"Day\": day,\n",
" \"Converted\": converts,\n",
" \"Value\": values\n",
" }\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"An example of ~10 observation (for a single group) spread along two days"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Generating ~10 samples with tolerance 0.05\n",
"CTR: 0.2\n",
"Min value: 30 / Max value: 100\n",
"Value mean: 60 / Value STD: 20\n",
"Generating observation over 2 days with [0.4, 0.6] as the distribution\n"
]
},
{
"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>Treat</th>\n",
" <th>Day</th>\n",
" <th>Converted</th>\n",
" <th>Value</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>control</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>58.682799</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>control</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>control</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>83.425302</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>control</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>control</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>37.115954</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>control</td>\n",
" <td>0</td>\n",
" <td>1</td>\n",
" <td>85.991153</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>control</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>control</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>control</td>\n",
" <td>1</td>\n",
" <td>1</td>\n",
" <td>53.225721</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Treat Day Converted Value\n",
"0 control 1 1 58.682799\n",
"1 control 1 0 0.000000\n",
"2 control 1 1 83.425302\n",
"3 control 0 0 0.000000\n",
"4 control 0 1 37.115954\n",
"5 control 0 1 85.991153\n",
"6 control 1 0 0.000000\n",
"7 control 1 0 0.000000\n",
"8 control 1 1 53.225721"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"generate_group_observations(N=10, days=2, days_dist=[0.4, 0.6],\n",
" min_val=30, max_val=100, mean_val=60, std_val=20, seed=314\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We are now ready to generate a synthetic results set of an A/B test, using the following function."
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"def generate_observations(N=1000,\n",
" control_ctr=0.2,\n",
" control_min_value=50,\n",
" control_max_value=150,\n",
" control_mean_sale=80,\n",
" control_std_sale=20,\n",
" var_ctr=0.15,\n",
" var_min_value=50,\n",
" var_max_value=150,\n",
" var_mean_sale=90,\n",
" var_std_sale=30,\n",
" days=7, days_dist=[1/7] * 7,\n",
" seed=42,\n",
" verbose=True\n",
" ):\n",
" np.random.seed(seed)\n",
" control = generate_group_observations(N=N, days=days, days_dist=days_dist, \n",
" ctr=control_ctr, min_val=control_min_value, max_val=control_max_value, \n",
" mean_val=control_mean_sale, std_val=control_std_sale,\n",
" treat='control',\n",
" seed=None, verbose=verbose\n",
" )\n",
" var = generate_group_observations(N=N, days=days, days_dist=days_dist, \n",
" ctr=var_ctr, min_val=var_min_value, max_val=var_max_value, \n",
" mean_val=var_mean_sale, std_val=var_std_sale,\n",
" treat='var',\n",
" seed=None, verbose=verbose\n",
" )\n",
"\n",
" results = pd.concat([control, var]).reset_index(drop=True)\n",
" return results"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's an ~10 days X 2 (for *control* and *variation* groups) results set"
]
},
{
"cell_type": "code",
"execution_count": 7,
"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>Treat</th>\n",
" <th>Day</th>\n",
" <th>Converted</th>\n",
" <th>Value</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>control</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>control</td>\n",
" <td>6</td>\n",
" <td>1</td>\n",
" <td>90.575667</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>control</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>control</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>control</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>control</td>\n",
" <td>6</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>control</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>control</td>\n",
" <td>5</td>\n",
" <td>1</td>\n",
" <td>88.962021</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>control</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>control</td>\n",
" <td>3</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>var</td>\n",
" <td>6</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>var</td>\n",
" <td>6</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>var</td>\n",
" <td>6</td>\n",
" <td>1</td>\n",
" <td>61.830611</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>var</td>\n",
" <td>2</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14</th>\n",
" <td>var</td>\n",
" <td>1</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>15</th>\n",
" <td>var</td>\n",
" <td>6</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>16</th>\n",
" <td>var</td>\n",
" <td>6</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>17</th>\n",
" <td>var</td>\n",
" <td>4</td>\n",
" <td>1</td>\n",
" <td>74.639051</td>\n",
" </tr>\n",
" <tr>\n",
" <th>18</th>\n",
" <td>var</td>\n",
" <td>0</td>\n",
" <td>0</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Treat Day Converted Value\n",
"0 control 1 0 0.000000\n",
"1 control 6 1 90.575667\n",
"2 control 2 0 0.000000\n",
"3 control 0 0 0.000000\n",
"4 control 3 0 0.000000\n",
"5 control 6 0 0.000000\n",
"6 control 3 0 0.000000\n",
"7 control 5 1 88.962021\n",
"8 control 2 0 0.000000\n",
"9 control 3 0 0.000000\n",
"10 var 6 0 0.000000\n",
"11 var 6 0 0.000000\n",
"12 var 6 1 61.830611\n",
"13 var 2 0 0.000000\n",
"14 var 1 0 0.000000\n",
"15 var 6 0 0.000000\n",
"16 var 6 0 0.000000\n",
"17 var 4 1 74.639051\n",
"18 var 0 0 0.000000"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"generate_observations(N=10, seed=262, verbose=False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Click through rate"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"First, we tackle the *rate metric*.\n",
"As a null hypothesis we take that the observed results are independent of the treatment."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def agg_conversion(results):\n",
" conversions = results.groupby('Treat')['Converted'].agg(['count', 'sum'])\n",
" conversions.rename(columns={'count': 'Visitors', 'sum': 'Converted'}, inplace=True)\n",
" conversions['Not_converted'] = conversions.Visitors - conversions.Converted\n",
" conversions['CR'] = conversions.Converted / conversions.Visitors\n",
" return conversions"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For the conversion rate we aggregate the raw events into a *contingency* matrix.\n",
"Here is the resulting aggregation of the data generated previously."
]
},
{
"cell_type": "code",
"execution_count": 9,
"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>Visitors</th>\n",
" <th>Converted</th>\n",
" <th>Not_converted</th>\n",
" <th>CR</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Treat</th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>control</th>\n",
" <td>10</td>\n",
" <td>2</td>\n",
" <td>8</td>\n",
" <td>0.200000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>var</th>\n",
" <td>9</td>\n",
" <td>2</td>\n",
" <td>7</td>\n",
" <td>0.222222</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Visitors Converted Not_converted CR\n",
"Treat \n",
"control 10 2 8 0.200000\n",
"var 9 2 7 0.222222"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"agg_conversion(generate_observations(N=10, seed=262, verbose=False))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"1. Fix the conversion rate for the control and variation groups\n",
"2. Play around with $N$. Note that the larger $N$ is the aggregation of the results gets closers to the values set.\n",
"\n",
"For every value of $N$ we generate a synthetic data set and aggregate it to get the observed *conversion rate*.\n",
"The synthetic "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.jupyter.widget-view+json": {
"model_id": "4a3dae14b2d24fc0ad704937d06fc21e",
"version_major": 2,
"version_minor": 0
},
"text/plain": [
"interactive(children=(IntSlider(value=1000, description='N', max=5000, min=10, step=100), FloatSlider(value=0.…"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"interact(\n",
" lambda N, control_ctr, var_ctr: print(\n",
" agg_conversion(\n",
" generate_observations(\n",
" seed=None, verbose=False, \n",
" N=N, \n",
" control_ctr=control_ctr,\n",
" var_ctr=var_ctr\n",
" ))['CR']\n",
" ), \n",
" control_ctr=widgets.FloatSlider(value=0.2, min=0, max=1, step=0.05, description='Control CR'),\n",
" var_ctr=widgets.FloatSlider(value=0.15, min=0, max=1, step=0.05, description='Variation CR'),\n",
" N=widgets.IntSlider(min=10,max=5000,step=100,value=1000)\n",
");"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Experimenting with different statistical tests"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"def plot_experiment(df):\n",
" \"\"\"\n",
" Utility function to plot a heatmap of the resulting p-values\n",
" \"\"\"\n",
" plt.figure(figsize=(10,10))\n",
" ax = sns.heatmap(df, cmap=plt.cm.Blues, linecolor='gray',\n",
" xticklabels=df.columns.values.round(2),\n",
" linewidths=.02\n",
" )\n",
" ax.set(xlabel='CR delta', ylabel='N')\n",
" ax.set_yticklabels(rotation=0, labels=Ns);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"As discussed in the outline, we generate results for various $n$'s and various CTRs of the variant group."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"def generate_data(control_ctr, deltas, Ns, seed=None):\n",
" \"\"\"\n",
" Generate data for len(Ns)*len(deltas) experiment.\n",
" Each experiment has ~N observation in each group and\n",
" the CTR of the variation is control_ctr+delta\n",
" \"\"\"\n",
" experiments = [\n",
" [\n",
" generate_observations(\n",
" seed=seed, N=N, control_ctr=control_ctr,\n",
" var_ctr = control_ctr + delta,\n",
" verbose=False\n",
" ) for delta in deltas\n",
" ] for N in Ns\n",
" ]\n",
" return pd.DataFrame(experiments, index=Ns, columns=deltas)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"*Finally*, generating the data:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"deltas = np.linspace(-0.15, 0.15, num=31)\n",
"Ns = np.round(np.linspace(10, 10000, num=40)).astype('int64')\n",
"data = generate_data(control_ctr=0.2, \n",
" deltas=deltas, Ns=Ns\n",
" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For each A/B test we aggregate the data:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"data_agg = data.applymap(agg_conversion)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [],
"source": [
"def compute_proportions_pvals(data_agg, test):\n",
" \"\"\"\n",
" Compute the p-value of a single A/B test.\n",
" `test` is assumed to be from `statsmodels.stats.proportion`\n",
" \"\"\"\n",
" return data_agg.applymap(lambda x: test(x['Converted'], x['Visitors'])[1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### $\\chi^2$ independence test"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 720x720 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pvals_chi2 = compute_proportions_pvals(data_agg, proportion.proportions_chisquare)\n",
"plot_experiment(pvals_chi2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### $z$ test"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 720x720 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pvals_z = compute_proportions_pvals(data_agg, proportion.proportions_ztest)\n",
"plot_experiment(pvals_z)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Comparing $z$-test and $\\chi^2$ test"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [],
"source": [
"pvals_diffs_close = pd.DataFrame(np.isclose(pvals_chi2, pvals_z))"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [],
"source": [
"pvals_diffs = (pvals_chi2 - pvals_z).abs()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 720x720 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_experiment(pvals_diffs)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 720x720 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plot_experiment(pvals_diffs_close.applymap(lambda x: 0 if x else 1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Development of $p$-value"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Recall, that each synthetic observation has a day associated to it.\n",
"This section investigates the change of the $p$-value as we collect more and more data."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"def daily_p_val_dev(df, plot=False):\n",
" \"\"\"\n",
" df is an observations dataframe\n",
" \"\"\"\n",
" cumsum_single_test = pd.concat(\n",
" [\n",
" df.groupby(['Treat', 'Day'])['Converted'].count().groupby(level=0).cumsum().rename('Visitors'),\n",
" df.groupby(['Treat', 'Day'])['Converted'].sum().groupby(level=0).cumsum().rename('Converted')\n",
" ], axis=1).reset_index()\n",
" days = np.sort(cumsum_single_test.Day.unique())\n",
" res = pd.Series(\n",
" [\n",
" proportion.proportions_chisquare(\n",
" cumsum_single_test[cumsum_single_test.Day == i]['Converted'],\n",
" cumsum_single_test[cumsum_single_test.Day == i]['Visitors']\n",
" )[1] for i in days\n",
" ], index=days)\n",
" if plot:\n",
" ax = res.plot()\n",
" ax.set_xlabel('Days')\n",
" ax.set_ylabel('p-value')\n",
" else:\n",
" return res"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 1080x1584 with 15 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"deltas_idx = [11, 13, 15, 17, 20]\n",
"Ns_idx = [5, 20, 30]\n",
"fig, axes = plt.subplots(nrows=len(deltas_idx), ncols=len(Ns_idx), sharex='all')\n",
"fig.set_figheight(22)\n",
"fig.set_figwidth(15)\n",
"\n",
"for i, delta_idx in enumerate(deltas_idx):\n",
" for j, N_idx in enumerate(Ns_idx):\n",
" axes[i, j].set_title(\"N = {} \\n delta = {}\".format(\n",
" data.index[N_idx], \n",
" round(data.columns[delta_idx], 2))\n",
" )\n",
" tmp = daily_p_val_dev(data.iloc[N_idx, delta_idx])\n",
" tmp.plot(ax=axes[i, j])\n",
" axes[i, j].set_xlabel('Days')\n",
" axes[i, j].set_ylabel('p-value')\n",
"del N_idx, Ns_idx, delta_idx, deltas_idx"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Statistical power"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tmp_Ns = np.arange(10, 20000, 500)\n",
"ax = pd.DataFrame(\n",
" {\n",
" '0.005': [power.GofChisquarePower().power(0.05, nobs=n, alpha=0.005, n_bins=2) for n in tmp_Ns],\n",
" '0.01': [power.GofChisquarePower().power(0.05, nobs=n, alpha=0.01, n_bins=2) for n in tmp_Ns],\n",
" '0.05': [power.GofChisquarePower().power(0.05, nobs=n, alpha=0.05, n_bins=2) for n in tmp_Ns],\n",
" '0.1': [power.GofChisquarePower().power(0.05, nobs=n, alpha=0.1, n_bins=2) for n in tmp_Ns]\n",
" }, \n",
" index=tmp_Ns\n",
").plot(figsize=(10,5))\n",
"del tmp_Ns\n",
"ax.set_title('Power for chi-squared test')\n",
"ax.set_xlabel('Sample size')\n",
"ax.set_ylabel('Power');"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"slideshow": {
"slide_type": "-"
}
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"<Figure size 720x360 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tmp_Ns = np.arange(10, 30000, 500)\n",
"ax = pd.DataFrame(\n",
" {\n",
" '0.005': [power.NormalIndPower().power(0.05, nobs1=n, alpha=0.005) for n in tmp_Ns],\n",
" '0.01': [power.NormalIndPower().power(0.05, nobs1=n, alpha=0.01) for n in tmp_Ns],\n",
" '0.05': [power.NormalIndPower().power(0.05, nobs1=n, alpha=0.05) for n in tmp_Ns],\n",
" '0.1': [power.NormalIndPower().power(0.05, nobs1=n, alpha=0.1) for n in tmp_Ns]\n",
" }, \n",
" index=tmp_Ns\n",
").plot(figsize=(10, 5))\n",
"del tmp_Ns\n",
"ax.set_title('Power for Z-test')\n",
"ax.set_xlabel('Sample size')\n",
"ax.set_ylabel('Power');"
]
}
],
"metadata": {
"interpreter": {
"hash": "56a96d6013a12403fdb91a8a4a179d691b2e62ae9fea828ff40b514c49239efb"
},
"kernelspec": {
"display_name": "Python [conda env:a-b-test-tutorial]",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.5"
},
"toc": {
"nav_menu": {},
"number_sections": false,
"sideBar": true,
"skip_h1_title": false,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": false,
"toc_position": {},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment