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@Gilles86
Created September 15, 2023 12:09
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import scipy.stats as ss\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"n_samples = 15\n",
"n_experiments = 10000\n",
"\n",
"\n",
"v = 1.\n",
"p=0.45\n",
"\n",
"prior_a = 1\n",
"prior_b = 1\n",
"\n",
"data = ss.bernoulli.rvs(p=p, size=(n_samples, n_experiments))\n",
"a = prior_a+np.cumsum(data == 0, axis=0)*v\n",
"b = prior_b+np.cumsum(data == 1, axis=0)*v\n",
"\n",
"diff = np.cumsum(data == 0, axis=0) - np.cumsum(data == 1, axis=0)\n",
"\n",
"x = np.linspace(0, 1, 100)\n",
"p = ss.beta(a=a[..., np.newaxis], b=b[..., np.newaxis]).pdf(x[np.newaxis, np.newaxis, :])"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"index = pd.MultiIndex.from_product([np.arange(n_samples), np.arange(n_experiments)], names=['n samples', 'experiment'])\n",
"df = pd.DataFrame(p.reshape(n_samples*n_experiments, -1), columns=pd.Index(x, name='x'), index=index) #.stack().to_frame('p')\n",
"df.set_index(pd.Index(diff.ravel(), name='diff'), append=True, inplace=True)\n",
"df = df.stack().to_frame('p')"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(15000000, 1)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.shape"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='x', ylabel='p'>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# df = pd.DataFrame(p[:, 0, :], columns=pd.Index(x, name='x'), index=pd.Index(np.arange(1, len(data)+1), name='t')).stack().to_frame('p')\n",
"\n",
"sns.lineplot(x='x', y='p', hue='n samples', data=df.xs(0, 0, 'experiment').reset_index(), palette='coolwarm')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"l0 = ss.beta(a=prior_a+a*v, b=prior_b+b*v).cdf(0.5)\n",
"l1 = 1-l0\n",
"\n",
"llr = np.log(l1/l0)\n",
"# plt.plot(llr)\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"llr = pd.DataFrame(llr, index=pd.Index(range(1, n_samples+1), name='n samples'), columns=pd.Index(range(1, n_experiments+1), name='experiment')).stack().to_frame('llr')\n",
"llr['diff'] = diff.ravel()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='n samples', ylabel='llr'>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(llr.reset_index(), x='n samples', y='llr', )"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.lineplot(llr.reset_index(), x='diff', hue='n samples', y='llr', palette='coolwarm')\n",
"plt.xlim(0, 10)\n",
"plt.ylim(-1, 7)\n",
"\n",
"plt.xlabel('Difference in number of left/right')\n",
"plt.ylabel('Log-likelihood ratio')\n",
"sns.despine()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<Axes: xlabel='n samples', ylabel='llr'>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"tmp = llr.reset_index()\n",
"tmp = tmp[tmp['diff'] == tmp['n samples']]\n",
"sns.lineplot(tmp, x='n samples', y='llr', )"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "base",
"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": "3.10.9"
},
"orig_nbformat": 4
},
"nbformat": 4,
"nbformat_minor": 2
}
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