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@mwaskom
Created August 31, 2012 16:59
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fisher transform example
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{
"metadata": {
"name": "fisher_transform"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"from scipy.stats import pearsonr\n",
"import seaborn\n",
"seaborn.set()\n",
"from seaborn import kdeplot"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def null_corr(n_corr=10000, n_samp=20):\n",
" r_vals = zeros(n_corr)\n",
" for i in xrange(n_corr):\n",
" a = randn(n_samp)\n",
" b = randn(n_samp)\n",
" r = pearsonr(a, b)[0]\n",
" r_vals[i] = r\n",
" return r_vals"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 3
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"r = null_corr()\n",
"z = arctanh(r)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 4
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"kdeplot(r)\n",
"kdeplot(z)\n",
"xlim(-1, 1);"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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ID2/LQES4ZtVzyBn/9uTLaNRBo1laxS7rjNlisaC7uxvd3d04cOAA/uVf/uWGpUwUSk5e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\nkiRJkvKILMySJEmSlEdkYZYkSZKkPPL/RrBfJVNdIPoAAAAASUVORK5CYII=\n"
}
],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"def real_corr(n_corr=10000, n_samp=20, noise_sigma=3):\n",
" r_vals = zeros(n_corr)\n",
" for i in xrange(n_corr):\n",
" a = randn(n_samp)\n",
" b = a + randn(n_samp) * noise_sigma\n",
" r = pearsonr(a, b)[0]\n",
" r_vals[i] = r\n",
" return r_vals"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 6
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"figure(figsize=(18, 7))\n",
"sigmas = [2, 4, 6]\n",
"for i, sigma in enumerate(sigmas):\n",
" r = real_corr(noise_sigma=sigma)\n",
" z = arctanh(r)\n",
" ax = subplot(1, 3, i + 1)\n",
" kdeplot(r, ax=ax)\n",
" kdeplot(z, ax=ax)\n",
" ax.set_xlim(-1.2, 1.2)\n",
" ax.set_title(\"$\\sigma = %d$\" % sigma)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"png": 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3lqh1WERENVcolpHIFJERog1LGqxyV+aUn4sPXvWc32VGgJUGRNQkRElCvByG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cUP8205OC0pnOw9q3Fk0UOKBiJmHOk4TWAsheribK1DiWnpKQm4vX5Gxj2LPtfm3I10TfRwWVYI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\noGuIvR2H+ML6jwf93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DcoHnvsMTU7O1s1Go1qXl6e+sMf/jDm+zlWxGMeVtX4ysXxmIdV\nVXKx5OLoEo+5OJ7ysKrGZy6WPBxZeVhR1RhbdlIIIYQQQgghhBBBERPTE4QQQgghhBBCCBF8UjQQ\nQgghhBBCCCHEtKRoIIQQQgghhBBCiGlJ0UAIIYQQQgghhBDTkqKBEEIIIYQQQgghpiVFAyGEEEII\nIYQQQkzr/we4jkI8B8n1VQAAAABJRU5ErkJggg==\n"
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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