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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"from scipy import stats\n",
"import pandas as pd\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"%matplotlib inline\n",
"\n",
"np.random.seed(322)\n",
"\n",
"N_EXPS = 30\n",
"N_SIM = 1000"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Distribution of true effects a_i, and var sig_i^2\n",
"dist_a = stats.truncnorm(a=-1.5, b=2, loc=0.2, scale=0.7)\n",
"dist_var = stats.invgamma(a=3, scale=1)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7f35e257b1d0>]"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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TcUSi1X8OvApgzP0Ad3b7SU9zx/XDz9xpxaSnudld3RS3Y4g4QUWUxMTdK6pI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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f35e289c710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(-0.5, 3, 1000)\n",
"f, axs = plt.subplots(ncols=2, figsize=(10, 3))\n",
"axs[0].plot(x, dist_a.pdf(x))\n",
"axs[1].plot(x, dist_var.pdf(x))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"a = dist_a.rvs(N_EXPS)\n",
"var = dist_var.rvs(N_EXPS)\n",
"sig = var ** 0.5\n",
"dists_x = [stats.norm(loc=a_i, scale=sig_i)\n",
" for a_i, sig_i in zip(a, sig)]\n",
"alpha = 0.05\n",
"\n",
"# winner (significance) threhsold @ alpha=0.05\n",
"# b = np.array([dist_x.ppf(1 - alpha) for dist_x in dists_x])\n",
"b = 1.96 * np.ones_like(a)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# X has shape [N_EXP, N_SIM]\n",
"X = np.array([dist_x.rvs(N_SIM) for dist_x in dists_x])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"win_indicator = (X / sig[:, None]) > b[:, None]"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"# Total estimated effects\n",
"S = (X * win_indicator).sum(axis=0)\n",
"# Total true effects\n",
"T = (np.tile(a[:, None], (1, N_SIM)) * win_indicator).sum(axis=0)\n",
"\n",
"# Number of postive significant experiments\n",
"n_winners = win_indicator.sum(axis=0)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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BU79laZnE6WNfZ3jr/oQ0L/bVQRtFKXlZXrpOASf5bvwnwFcBN055LEIIcWEs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1m/szBwWawL8rIh9F2+fqvPbFlSK40j4Wi/wzqv2OuGlLViPIiJIofbow5h4OxGu43SOA48OskI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\nkQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f35e2527e48>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize=(10, 5))\n",
"ax.scatter(T, S, s=n_winners**2, alpha=0.2)\n",
"ax.plot(ax.get_xlim(), ax.get_xlim(), c='white', alpha=0.8)\n",
"ax.set_title('Simulation of effects')\n",
"ax.set_xlabel('true effect')\n",
"ax.set_ylabel('by experiment (bottoms up)');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Adjusting for the bias"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"phi = stats.norm.pdf"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.405680183690881"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# True bias with known a and sig\n",
"bias_true = (sig * phi((sig * b - a)/sig)).sum()\n",
"bias_true"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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9AeBGPz2w9xRcYLbRTVmaO9kEkwfBgVeCMeZdwLu01u8wxvzXe9gmIYQQJxAF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\nj2Vh3X4rSrmeLmstK5sjPnprgMVSDwM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8xse/NZ1O9wXZXnu9xXqytAZsjKExEL4EwHlT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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f35e16a5208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize=(10, 5))\n",
"ax.scatter(T, S-bias_true, s=n_winners**2, alpha=0.2)\n",
"ax.plot(ax.get_xlim(), ax.get_xlim(), c='white', alpha=0.8)\n",
"ax.set_title('Simulation of effects with actual bias adjustment')\n",
"ax.set_xlabel('true effect')\n",
"ax.set_ylabel('adjusted bottoms up effect');"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.3618628722844957"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Estimated bias with estimates X and W\n",
"X_mu = X.mean(axis=1)\n",
"W = X.std(axis=1)\n",
"\n",
"bias_est = (W * phi((W * b - X_mu)/W)).sum()\n",
"bias_est"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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zremBVZYXrHXjqcG67ytWuzGdVojvHf8PggfFQUHZi4BPrX4u7kFbhBBCnIAr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\nf5B4beC8w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euneZ1CCGNK26K15mJdIpWirBoC3yWJ7OcC0gPXBg17/YCyVuSFZn8ccmMv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\nCcqEEEIIISbA/wd3mXfv+p9pbQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f35e2558ba8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"f, ax = plt.subplots(figsize=(10, 5))\n",
"ax.scatter(T, S-bias_est, s=n_winners**2, alpha=0.2)\n",
"ax.plot(ax.get_xlim(), ax.get_xlim(), c='white', alpha=0.8)\n",
"ax.set_title('Simulation of effects with estimated bias adjustment')\n",
"ax.set_xlabel('true effect')\n",
"ax.set_ylabel('adjusted bottoms up effect');"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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