{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import pymc3 as pm\n",
"import numpy as np\n",
"import pandas as pd\n",
"from scipy import stats\n",
"from scipy.special import expit as logistic\n",
"import matplotlib.pyplot as plt\n",
"\n",
"%config InlineBackend.figure_format = 'retina'\n",
"plt.style.use(['seaborn-colorblind', 'seaborn-darkgrid'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.1"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(48, 5)\n"
]
},
{
"data": {
"text/html": [
"
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" pred | \n",
" size | \n",
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" propsurv | \n",
"
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],
"text/plain": [
" density pred size surv propsurv\n",
"0 10 no big 9 0.9\n",
"1 10 no big 10 1.0\n",
"2 10 no big 7 0.7\n",
"3 10 no big 10 1.0\n",
"4 10 no small 9 0.9\n",
"5 10 no small 9 0.9\n",
"6 10 no small 10 1.0\n",
"7 10 no small 9 0.9"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"d = pd.read_csv('Data/reedfrogs.csv', sep=\",\")\n",
"print(d.shape)\n",
"d.head(8)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.2"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"100%|██████████| 4000/4000 [00:18<00:00, 213.57it/s]\n"
]
}
],
"source": [
"# make the tank cluster variable\n",
"tank = np.arange(d.shape[0])\n",
"# fit\n",
"with pm.Model() as m_12_1:\n",
" a_tank = pm.Normal('a_tank', 0, 5, shape=d.shape[0])\n",
" p = pm.math.invlogit(a_tank[tank])\n",
" surv = pm.Binomial('surv', n=d.density, p=p, observed=d.surv)\n",
" trace_12_1 = pm.sample(2000, tune=2000, njobs=4)\n",
"# pm.summary(trace_12_1, alpha=.11).round(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.3"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"100%|██████████| 4000/4000 [00:17<00:00, 231.65it/s]\n"
]
}
],
"source": [
"with pm.Model() as m_12_2:\n",
" a = pm.Normal('a', 0., 1.)\n",
" sigma = pm.HalfCauchy('sigma', 1.)\n",
" a_tank = pm.Normal('a_tank', a, sigma, shape=d.shape[0])\n",
" p = pm.math.invlogit(a_tank[tank])\n",
" surv = pm.Binomial('surv', n=d.density, p=p, observed=d.surv)\n",
" trace_12_2 = pm.sample(2000, tune=2000, njobs=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.4"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
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" \n",
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" | \n",
" WAIC | \n",
" pWAIC | \n",
" dWAIC | \n",
" weight | \n",
" SE | \n",
" dSE | \n",
" warning | \n",
"
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" model | \n",
" | \n",
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" m12.2 | \n",
" 200.7 | \n",
" 21.18 | \n",
" 0 | \n",
" 0.65 | \n",
" 7.15 | \n",
" 0 | \n",
" 1 | \n",
"
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" \n",
" m12.1 | \n",
" 201.91 | \n",
" 22.83 | \n",
" 1.21 | \n",
" 0.35 | \n",
" 9.31 | \n",
" 4.44 | \n",
" 1 | \n",
"
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" \n",
"
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"
"
],
"text/plain": [
" WAIC pWAIC dWAIC weight SE dSE warning\n",
"model \n",
"m12.2 200.7 21.18 0 0.65 7.15 0 1\n",
"m12.1 201.91 22.83 1.21 0.35 9.31 4.44 1"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"comp_df = pm.compare(traces=[trace_12_1, trace_12_2],\n",
" models=[m_12_1, m_12_2],\n",
" method='pseudo-BMA')\n",
"\n",
"comp_df.loc[:,'model'] = pd.Series(['m12.1', 'm12.2'])\n",
"comp_df = comp_df.set_index('model')\n",
"comp_df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.5"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# extract PyMC3 samples\n",
"post = pm.trace_to_dataframe(trace_12_2, varnames=['a_tank'])\n",
"\n",
"# compute median intercept for each tank\n",
"# also transform to probability with logistic\n",
"d.loc[:, 'propsurv_est'] = pd.Series(logistic(post.median(axis=0).values), index=d.index)"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
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TmDPqzMWY2yHQM4OkuWSbuDjjGAX4F+dwZo6RmwcApTUNh4jkE0pQi4iISK5h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\nhZNL5la48eSwm8lsVT8ikneYzTdmVcv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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 316,
"width": 724
}
},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(1, 1, figsize=(12, 5))\n",
"# display raw proportions surviving in each tank\n",
"ax.scatter(np.arange(1, 49), d.propsurv)\n",
"ax.scatter(np.arange(1, 49), d.propsurv_est,\n",
" facecolors='none', edgecolors='k', lw=1)\n",
"ax.hlines(logistic(np.median(trace_12_2['a'], axis=0)), 0, 49, linestyles='--')\n",
"ax.vlines([16.5, 32.5], -.05, 1.05, lw=.5)\n",
"ax.text(8, 0, \"small tanks\", horizontalalignment='center')\n",
"ax.text(16+8, 0, \"medium tanks\", horizontalalignment='center')\n",
"ax.text(32+8, 0, \"large tanks\", horizontalalignment='center')\n",
"ax.set_xlabel('tank', fontsize=14)\n",
"ax.set_ylabel('proportion survival', fontsize=14)\n",
"ax.set_xlim(-1, 50)\n",
"ax.set_ylim(-.05, 1.05);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.6"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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RERERERERdUWlMowrrvg6fvCDO8ZtO/jgP8Hy5UfjAx/4f3HssR+Eruuo1ewujHL3Mbwi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\n1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4rC4Qt76P5bPp3OBpESBP43FF6vJssy/v7vv8LZ2Ql13WAYJs88834eeeTR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Nnd3WM8HrFarQDwfY92u4MgUEY/Jsiyg6rqBIGPKErM53NaLZvT02MeeeQR5vNZ6QKbMhyO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\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N4+rVF5oM5CiK2dqq+mw0TUdRKtfE/v4eRVFiGCadTgdRrLpmHMfh8PAITVMxDAPTNNna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su1W6gCOOjo7Kwasd1te3aLXabG1tYdsWrusiihL7+7sEQYRtW4zHR0wmY2RZJooSTNOk1WqT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f3L/l0UCAQCwXsDXdc7R7CHJEnEcdwPk7wditKKXL4fdPG/FfP5jOVy8Y72fXMPlKIoDAYu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\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SxGy3G1xXuLDKsiKKouddhKJpGsvlchLBhmHAdV26TiyK8n2PoiipqhJVVYnjhNNTlatX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\nonfv3n/+jZBh8eLFxvd4//79kR4OEVGFkiI9ACIiIiIiIiIiIooeH37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2dsaMGTMAKMsA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\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 352,
"width": 855
}
},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(1, 2, figsize=(12, 5))\n",
"# show first 100 populations in the posterior\n",
"xrange = np.linspace(-3, 4, 200)\n",
"postcurve = [stats.norm.pdf(xrange, loc=trace_12_2['a'][i], scale=trace_12_2['sigma'][i]) for i in range(100)]\n",
"ax[0].plot(xrange, np.asarray(postcurve).T,\n",
" alpha=.1, color='k')\n",
"ax[0].set_xlabel('log-odds survive', fontsize=14)\n",
"ax[0].set_ylabel('Density', fontsize=14);\n",
"# sample 8000 imaginary tanks from the posterior distribution\n",
"sim_tanks = np.random.normal(loc=trace_12_2['a'], scale=trace_12_2['sigma'])\n",
"# transform to probability and visualize\n",
"pm.kdeplot(logistic(sim_tanks), ax=ax[1], color='k')\n",
"ax[1].set_xlabel('probability survive', fontsize=14)\n",
"ax[1].set_ylabel('Density', fontsize=14)\n",
"plt.tight_layout();\n",
"# dens( logistic(sim_tanks) , xlab=\"probability survive\" )"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.7"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"a, sigma, nponds = 1.4, 1.5, 60\n",
"ni = np.repeat([5, 10, 25, 35], 15)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.8"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"a_pond = np.random.normal(loc=a, scale=sigma, size=nponds)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.9"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"dsim = pd.DataFrame(dict(pond=np.arange(nponds), ni=ni, true_a=a_pond))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.10\n",
"Data types related. Python is dynamically-typed."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.11"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"dsim.loc[:, 'si'] = np.random.binomial(dsim['ni'], logistic(dsim['true_a']))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.12"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"dsim.loc[:, 'p_nopool'] = dsim.si / dsim.ni"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.13"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"100%|██████████| 2000/2000 [00:06<00:00, 297.12it/s]\n"
]
}
],
"source": [
"with pm.Model() as m_12_3:\n",
" a = pm.Normal('a', 0., 1.)\n",
" sigma = pm.HalfCauchy('sigma', 1.)\n",
" a_pond = pm.Normal('a_pond', a, sigma, shape=nponds)\n",
" p = pm.math.invlogit(a_pond[dsim.pond.values])\n",
" si = pm.Binomial('si', n=dsim.ni.values, p=p, observed=dsim.si)\n",
" trace_12_3 = pm.sample(1000, tune=1000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.14"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" mean | \n",
" sd | \n",
" mc_error | \n",
" hpd_5.5 | \n",
" hpd_94.5 | \n",
" n_eff | \n",
" Rhat | \n",
"
\n",
" \n",
" \n",
" \n",
" a | \n",
" 1.29 | \n",
" 0.20 | \n",
" 0.00 | \n",
" 0.96 | \n",
" 1.60 | \n",
" 1827.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_pond__0 | \n",
" 1.46 | \n",
" 0.89 | \n",
" 0.02 | \n",
" 0.03 | \n",
" 2.75 | \n",
" 2000.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_pond__1 | \n",
" 1.48 | \n",
" 0.94 | \n",
" 0.02 | \n",
" 0.05 | \n",
" 2.96 | \n",
" 2000.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_pond__58 | \n",
" 3.63 | \n",
" 0.90 | \n",
" 0.02 | \n",
" 2.13 | \n",
" 4.92 | \n",
" 2000.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_pond__59 | \n",
" 0.24 | \n",
" 0.34 | \n",
" 0.01 | \n",
" -0.23 | \n",
" 0.85 | \n",
" 2000.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" sigma | \n",
" 1.42 | \n",
" 0.20 | \n",
" 0.01 | \n",
" 1.12 | \n",
" 1.75 | \n",
" 783.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd mc_error hpd_5.5 hpd_94.5 n_eff Rhat\n",
"a 1.29 0.20 0.00 0.96 1.60 1827.0 1.0\n",
"a_pond__0 1.46 0.89 0.02 0.03 2.75 2000.0 1.0\n",
"a_pond__1 1.48 0.94 0.02 0.05 2.96 2000.0 1.0\n",
"a_pond__58 3.63 0.90 0.02 2.13 4.92 2000.0 1.0\n",
"a_pond__59 0.24 0.34 0.01 -0.23 0.85 2000.0 1.0\n",
"sigma 1.42 0.20 0.01 1.12 1.75 783.0 1.0"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"summary_12_3 = pm.summary(trace_12_3, alpha=.11)\n",
"summary_12_3.iloc[[0, 1, 2, -3, -2, -1],:].round(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.15"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"estimated_a_pond = pm.summary(trace_12_3, alpha=.11, varnames=['a_pond'])\n",
"dsim.loc[:, 'p_partpool'] = logistic(estimated_a_pond['mean'].values)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.16"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"dsim.loc[:, 'p_true'] = logistic(dsim['true_a'].values)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.17"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"nopool_error = np.abs(dsim.p_nopool - dsim.p_true)\n",
"partpool_error = np.abs(dsim.p_partpool - dsim.p_true)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.18"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
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jw7p1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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 316,
"width": 723
}
},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(1, 1, figsize=(12, 5))\n",
"xrange = np.arange(60)\n",
"xrange_ = xrange.reshape((4, 15))\n",
"# display raw proportions surviving in each tank\n",
"ax.scatter(xrange+1, nopool_error)\n",
"ax.scatter(xrange+1, partpool_error,\n",
" facecolors='none', edgecolors='k', lw=1)\n",
"ax.vlines(xrange_[1:,0]+.5, -.025, 0.35, lw=.5)\n",
"\n",
"textall = [\"tiny (5)\", \"small (10)\", \"medium (25)\", \"large (30)\"]\n",
"for isem in range(4):\n",
" ax.hlines(nopool_error[xrange_[isem, :]].mean(), \n",
" xrange_[isem, 0]+1, xrange_[isem, -1]+1, color='C0')\n",
" ax.hlines(partpool_error[xrange_[isem, :]].mean(), \n",
" xrange_[isem, 0]+1, xrange_[isem, -1]+1, color='k', linestyles='--')\n",
" ax.text(xrange_[isem, 7]+.5, 0.32, textall[isem], horizontalalignment='center')\n",
"ax.set_xlabel('pond', fontsize=14)\n",
"ax.set_ylabel('absolute error', fontsize=14)\n",
"ax.set_xlim(-1, 62)\n",
"ax.set_ylim(-.025, 0.34);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.19"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This part is more Stan and rethinking related. To do the same in PyMC3 (i.e., avoide compiling the same model twice), you need to set up the input data with `theano.shared` or use [sampled](https://github.com/ColCarroll/sampled), a functional decorator for PyMC3."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.20"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"y1 = np.random.normal(10., 1., 10000)\n",
"y2 = 10. + np.random.normal(0., 1., 10000)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.21"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
"100%|██████████| 6000/6000 [02:18<00:00, 43.33it/s]\n"
]
}
],
"source": [
"d = pd.read_csv('Data/chimpanzees.csv', sep=\";\")\n",
"# we change \"actor\" to zero-index\n",
"d.actor = (d.actor - 1).astype(int)\n",
"Nactor = len(d.actor.unique())\n",
"\n",
"with pm.Model() as m_12_4:\n",
" bp = pm.Normal('bp', 0, 10)\n",
" bpC = pm.Normal('bpC', 0, 10)\n",
" \n",
" a = pm.Normal('a', 0, 10)\n",
" sigma_actor = pm.HalfCauchy('sigma_actor', 1.)\n",
" a_actor = pm.Normal('a_actor', 0., sigma_actor, shape=Nactor)\n",
"\n",
" p = pm.math.invlogit(a + a_actor[d.actor.values] + (bp + bpC * d.condition) * d.prosoc_left)\n",
" pulled_left = pm.Binomial('pulled_left', 1, p, observed=d.pulled_left)\n",
"\n",
" trace_12_4 = pm.sample(5000, tune=1000, njobs=4)\n",
"# pm.traceplot(trace_12_4)\n",
"# pm.summary(trace_12_4, alpha=.11).round(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.22"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([-0.71, 4.62, -1.02, -1.02, -0.71, 0.23, 1.76])"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"total_a_actor = np.asarray([trace_12_4['a'] + trace_12_4['a_actor'][:, i] for i in range(Nactor)])\n",
"total_a_actor.mean(axis=1).round(2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.23"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
" 82%|████████▏ | 5741/7000 [03:10<00:36, 34.51it/s]/home/osvaldo/Documentos/Proyectos/01_PyMC3/pymc3/pymc3/step_methods/hmc/nuts.py:468: UserWarning: Chain 3 contains 3 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
" % (self._chain_id, n_diverging))\n",
" 94%|█████████▍| 6594/7000 [03:25<00:06, 60.57it/s]/home/osvaldo/Documentos/Proyectos/01_PyMC3/pymc3/pymc3/step_methods/hmc/nuts.py:468: UserWarning: Chain 2 contains 7 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
" % (self._chain_id, n_diverging))\n",
" 98%|█████████▊| 6863/7000 [03:30<00:02, 61.19it/s]/home/osvaldo/Documentos/Proyectos/01_PyMC3/pymc3/pymc3/step_methods/hmc/nuts.py:468: UserWarning: Chain 1 contains 26 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
" % (self._chain_id, n_diverging))\n",
"100%|█████████▉| 6994/7000 [03:32<00:00, 62.62it/s]/home/osvaldo/Documentos/Proyectos/01_PyMC3/pymc3/pymc3/step_methods/hmc/nuts.py:468: UserWarning: Chain 0 contains 4 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
" % (self._chain_id, n_diverging))\n",
"100%|██████████| 7000/7000 [03:32<00:00, 32.99it/s]\n"
]
}
],
"source": [
"d.block = (d.block - 1).astype(int)\n",
"Nblock = len(d.block.unique())\n",
"\n",
"with pm.Model() as m_12_5:\n",
" bp = pm.Normal('bp', 0, 10)\n",
" bpC = pm.Normal('bpC', 0, 10)\n",
" \n",
" a = pm.Normal('a', 0, 10)\n",
" sigma_actor = pm.HalfCauchy('sigma_actor', 1.)\n",
" a_actor = pm.Normal('a_actor', 0., sigma_actor, shape=Nactor)\n",
"\n",
" sigma_block = pm.HalfCauchy('sigma_block', 1.)\n",
" a_block = pm.Normal('a_block', 0., sigma_block, shape=Nblock)\n",
" \n",
" p = pm.math.invlogit(a + a_actor[d.actor.values] + a_block[d.block.values]\n",
" + (bp + bpC * d.condition) * d.prosoc_left)\n",
" pulled_left = pm.Binomial('pulled_left', 1, p, observed=d.pulled_left)\n",
"\n",
" trace_12_5 = pm.sample(6000, tune=1000, njobs=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.24"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" mean | \n",
" sd | \n",
" mc_error | \n",
" hpd_5.5 | \n",
" hpd_94.5 | \n",
" n_eff | \n",
" Rhat | \n",
"
\n",
" \n",
" \n",
" \n",
" bp | \n",
" 0.83 | \n",
" 0.26 | \n",
" 0.00 | \n",
" 0.41 | \n",
" 1.25 | \n",
" 15660.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" bpC | \n",
" -0.14 | \n",
" 0.30 | \n",
" 0.00 | \n",
" -0.63 | \n",
" 0.33 | \n",
" 15743.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a | \n",
" 0.43 | \n",
" 0.95 | \n",
" 0.02 | \n",
" -1.07 | \n",
" 1.82 | \n",
" 3661.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_actor__0 | \n",
" -1.15 | \n",
" 0.96 | \n",
" 0.02 | \n",
" -2.60 | \n",
" 0.30 | \n",
" 3743.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_actor__1 | \n",
" 4.19 | \n",
" 1.64 | \n",
" 0.02 | \n",
" 1.78 | \n",
" 6.38 | \n",
" 6420.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_actor__2 | \n",
" -1.45 | \n",
" 0.97 | \n",
" 0.02 | \n",
" -2.93 | \n",
" 0.03 | \n",
" 3629.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_actor__3 | \n",
" -1.45 | \n",
" 0.96 | \n",
" 0.02 | \n",
" -2.93 | \n",
" 0.01 | \n",
" 3790.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_actor__4 | \n",
" -1.15 | \n",
" 0.96 | \n",
" 0.02 | \n",
" -2.63 | \n",
" 0.30 | \n",
" 3731.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_actor__5 | \n",
" -0.20 | \n",
" 0.96 | \n",
" 0.02 | \n",
" -1.60 | \n",
" 1.32 | \n",
" 3789.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_actor__6 | \n",
" 1.34 | \n",
" 0.98 | \n",
" 0.02 | \n",
" -0.19 | \n",
" 2.81 | \n",
" 4029.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_block__0 | \n",
" -0.18 | \n",
" 0.23 | \n",
" 0.00 | \n",
" -0.53 | \n",
" 0.12 | \n",
" 4962.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_block__1 | \n",
" 0.04 | \n",
" 0.19 | \n",
" 0.00 | \n",
" -0.24 | \n",
" 0.35 | \n",
" 11541.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_block__2 | \n",
" 0.05 | \n",
" 0.19 | \n",
" 0.00 | \n",
" -0.24 | \n",
" 0.36 | \n",
" 12229.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_block__3 | \n",
" 0.00 | \n",
" 0.19 | \n",
" 0.00 | \n",
" -0.31 | \n",
" 0.29 | \n",
" 14163.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_block__4 | \n",
" -0.03 | \n",
" 0.19 | \n",
" 0.00 | \n",
" -0.33 | \n",
" 0.25 | \n",
" 12378.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" a_block__5 | \n",
" 0.12 | \n",
" 0.20 | \n",
" 0.00 | \n",
" -0.16 | \n",
" 0.45 | \n",
" 7508.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" sigma_actor | \n",
" 2.26 | \n",
" 0.92 | \n",
" 0.01 | \n",
" 1.06 | \n",
" 3.40 | \n",
" 6639.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
" sigma_block | \n",
" 0.23 | \n",
" 0.18 | \n",
" 0.00 | \n",
" 0.01 | \n",
" 0.44 | \n",
" 2776.0 | \n",
" 1.0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" mean sd mc_error hpd_5.5 hpd_94.5 n_eff Rhat\n",
"bp 0.83 0.26 0.00 0.41 1.25 15660.0 1.0\n",
"bpC -0.14 0.30 0.00 -0.63 0.33 15743.0 1.0\n",
"a 0.43 0.95 0.02 -1.07 1.82 3661.0 1.0\n",
"a_actor__0 -1.15 0.96 0.02 -2.60 0.30 3743.0 1.0\n",
"a_actor__1 4.19 1.64 0.02 1.78 6.38 6420.0 1.0\n",
"a_actor__2 -1.45 0.97 0.02 -2.93 0.03 3629.0 1.0\n",
"a_actor__3 -1.45 0.96 0.02 -2.93 0.01 3790.0 1.0\n",
"a_actor__4 -1.15 0.96 0.02 -2.63 0.30 3731.0 1.0\n",
"a_actor__5 -0.20 0.96 0.02 -1.60 1.32 3789.0 1.0\n",
"a_actor__6 1.34 0.98 0.02 -0.19 2.81 4029.0 1.0\n",
"a_block__0 -0.18 0.23 0.00 -0.53 0.12 4962.0 1.0\n",
"a_block__1 0.04 0.19 0.00 -0.24 0.35 11541.0 1.0\n",
"a_block__2 0.05 0.19 0.00 -0.24 0.36 12229.0 1.0\n",
"a_block__3 0.00 0.19 0.00 -0.31 0.29 14163.0 1.0\n",
"a_block__4 -0.03 0.19 0.00 -0.33 0.25 12378.0 1.0\n",
"a_block__5 0.12 0.20 0.00 -0.16 0.45 7508.0 1.0\n",
"sigma_actor 2.26 0.92 0.01 1.06 3.40 6639.0 1.0\n",
"sigma_block 0.23 0.18 0.00 0.01 0.44 2776.0 1.0"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm.summary(trace_12_5, alpha=.11).round(2)"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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kMmH40zqLUVFRALi7u5vLEhISsn09gIcWpRcbkZdekogIB4KCnDl1Knf75Nyv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DAA4ODBg8jIyMDHH3+M2bNnq885Z84cDBkyBEqlEvn5+XjllVfqVA85OTkICQmBj48PAMDf3x8K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\nQssAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 287,
"width": 412
}
},
"output_type": "display_data"
}
],
"source": [
"pm.forestplot(trace_12_5);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.25"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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/bc+Bmgo1ejyytjDMDwAA0FoWwzCMUBdhtoaGBs2ZM0fLli1TZmamFi9e7AuFbVVVVaUx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\nQnOAMr2RQ2kFHEorMG8LdLNneIAbQ/3cGOrnyqAervKZ10HJRTStSC6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wuYLMpCV56OVS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\nACjlJxIyMH57vfw7AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 316,
"width": 328
}
},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"pm.kdeplot(trace_12_5['sigma_actor'], ax=ax)\n",
"pm.kdeplot(trace_12_5['sigma_block'], ax=ax)\n",
"ax.text(2, 0.75, \"actor\", color='C0')\n",
"ax.text(0.5, 2, \"block\", color='C1')\n",
"ax.set_xlabel('sigma', fontsize=14)\n",
"ax.set_ylabel('density', fontsize=14)\n",
"ax.set_xlim(-0.1, 4.1)\n",
"ax.set_ylim(-0.05, 3.05);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.26"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" WAIC | \n",
" pWAIC | \n",
" dWAIC | \n",
" weight | \n",
" SE | \n",
" dSE | \n",
" warning | \n",
"
\n",
" \n",
" model | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
" | \n",
"
\n",
" \n",
" \n",
" \n",
" m12.4 | \n",
" 531.27 | \n",
" 8.06 | \n",
" 0 | \n",
" 0.67 | \n",
" 19.46 | \n",
" 0 | \n",
" 0 | \n",
"
\n",
" \n",
" m12.5 | \n",
" 532.68 | \n",
" 10.42 | \n",
" 1.41 | \n",
" 0.33 | \n",
" 19.66 | \n",
" 1.78 | \n",
" 0 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" WAIC pWAIC dWAIC weight SE dSE warning\n",
"model \n",
"m12.4 531.27 8.06 0 0.67 19.46 0 0\n",
"m12.5 532.68 10.42 1.41 0.33 19.66 1.78 0"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"comp_df = pm.compare(traces=[trace_12_4, trace_12_5],\n",
" models=[m_12_4, m_12_5],\n",
" method='pseudo-BMA')\n",
"\n",
"comp_df.loc[:,'model'] = pd.Series(['m12.4', 'm12.5'])\n",
"comp_df = comp_df.set_index('model')\n",
"comp_df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.27"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" actor | \n",
" recipient | \n",
" condition | \n",
" block | \n",
" trial | \n",
" prosoc_left | \n",
" chose_prosoc | \n",
" pulled_left | \n",
"
\n",
" \n",
" \n",
" \n",
" 73 | \n",
" 1 | \n",
" NaN | \n",
" 0 | \n",
" 0 | \n",
" 3 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
"
\n",
" \n",
" 72 | \n",
" 1 | \n",
" NaN | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
" 1 | \n",
" 1 | \n",
" 1 | \n",
"
\n",
" \n",
" 108 | \n",
" 1 | \n",
" 7.0 | \n",
" 1 | \n",
" 0 | \n",
" 2 | \n",
" 0 | \n",
" 0 | \n",
" 1 | \n",
"
\n",
" \n",
" 116 | \n",
" 1 | \n",
" 5.0 | \n",
" 1 | \n",
" 1 | \n",
" 16 | \n",
" 1 | \n",
" 1 | \n",
" 1 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" actor recipient condition block trial prosoc_left chose_prosoc \\\n",
"73 1 NaN 0 0 3 0 0 \n",
"72 1 NaN 0 0 1 1 1 \n",
"108 1 7.0 1 0 2 0 0 \n",
"116 1 5.0 1 1 16 1 1 \n",
"\n",
" pulled_left \n",
"73 1 \n",
"72 1 \n",
"108 1 \n",
"116 1 "
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"chimp = 2 - 1\n",
"sel_actor = np.where((d.actor == (chimp)).values)[0]\n",
"_, uni_cond = np.unique(d.loc[sel_actor, ['condition', 'prosoc_left']], \n",
" axis=0, return_index=True, )\n",
"d.loc[sel_actor[uni_cond], :].head()"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 1000/1000 [00:01<00:00, 941.01it/s]\n"
]
}
],
"source": [
"ppc = pm.sample_ppc(trace=trace_12_4, samples=1000, model=m_12_4)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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H9N5772np0qWyLEu9e/c+r3ELCgp05MgRdenSpdLz0dHR2rdvn44eParmzZuf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\nEGb7P+35a8l6dFqrAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 316,
"width": 327
}
},
"output_type": "display_data"
}
],
"source": [
"rt = ppc['pulled_left'][:, sel_actor]\n",
"\n",
"pred_mean = np.zeros((1000, 4))\n",
"cond = d.condition.unique()\n",
"prosoc_l = d.prosoc_left.unique()\n",
"for i in range(len(rt)):\n",
" tmp = []\n",
" for cp in cond:\n",
" for pl in prosoc_l:\n",
" tmp.append(np.mean(rt[i][(d.prosoc_left[sel_actor].values==pl) &\n",
" (d.condition[sel_actor].values==cp)]))\n",
" pred_mean[i] = tmp\n",
" \n",
"mp = pred_mean.mean(0)\n",
"hpd = pm.hpd(pred_mean, alpha=.11)\n",
"\n",
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"ax.fill_between(range(4), hpd[:,1], hpd[:,0], alpha=0.25, color='k')\n",
"ax.plot(mp, color='k')\n",
"chimps = d.groupby(['actor', 'prosoc_left', 'condition']).agg('mean')['pulled_left'].values.reshape(7, -1)\n",
"ax.plot(chimps[chimp], 'C0')\n",
"\n",
"ax.set_ylim(0, 1.1)\n",
"ax.set_xlabel(\"prosoc_left/condition\", fontsize=14)\n",
"ax.set_ylabel(\"proportion pulled left\", fontsize=14)\n",
"plt.xticks(range(4), (\"0/0\",\"1/0\",\"0/1\",\"1/1\"));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.28"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" bp | \n",
" bpC | \n",
" a | \n",
" a_actor__0 | \n",
" a_actor__1 | \n",
" a_actor__2 | \n",
" a_actor__3 | \n",
" a_actor__4 | \n",
" a_actor__5 | \n",
" a_actor__6 | \n",
" sigma_actor | \n",
"
\n",
" \n",
" \n",
" \n",
" 0 | \n",
" 1.144842 | \n",
" -0.192101 | \n",
" 1.336637 | \n",
" -2.001404 | \n",
" 3.133755 | \n",
" -2.554750 | \n",
" -2.685470 | \n",
" -1.728456 | \n",
" -0.844019 | \n",
" 0.500316 | \n",
" 2.390074 | \n",
"
\n",
" \n",
" 1 | \n",
" 0.927530 | \n",
" -0.210558 | \n",
" 1.217429 | \n",
" -2.172665 | \n",
" 3.282467 | \n",
" -2.475223 | \n",
" -2.507842 | \n",
" -1.873292 | \n",
" -1.144004 | \n",
" 0.414225 | \n",
" 1.485859 | \n",
"
\n",
" \n",
" 2 | \n",
" 0.895586 | \n",
" -0.189188 | \n",
" -0.522454 | \n",
" -0.054271 | \n",
" 4.134344 | \n",
" -0.538216 | \n",
" -0.309994 | \n",
" -0.414063 | \n",
" 0.816621 | \n",
" 2.577835 | \n",
" 2.078943 | \n",
"
\n",
" \n",
" 3 | \n",
" 0.981783 | \n",
" -0.235233 | \n",
" 0.141105 | \n",
" -0.704803 | \n",
" 3.815423 | \n",
" -1.235665 | \n",
" -1.194887 | \n",
" -1.007658 | \n",
" 0.132304 | \n",
" 1.557893 | \n",
" 1.254438 | \n",
"
\n",
" \n",
" 4 | \n",
" 0.979146 | \n",
" -0.311983 | \n",
" 1.357626 | \n",
" -1.988020 | \n",
" 4.218693 | \n",
" -2.529535 | \n",
" -2.441370 | \n",
" -2.289553 | \n",
" -1.060942 | \n",
" 0.150617 | \n",
" 2.299303 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" bp bpC a a_actor__0 a_actor__1 a_actor__2 \\\n",
"0 1.144842 -0.192101 1.336637 -2.001404 3.133755 -2.554750 \n",
"1 0.927530 -0.210558 1.217429 -2.172665 3.282467 -2.475223 \n",
"2 0.895586 -0.189188 -0.522454 -0.054271 4.134344 -0.538216 \n",
"3 0.981783 -0.235233 0.141105 -0.704803 3.815423 -1.235665 \n",
"4 0.979146 -0.311983 1.357626 -1.988020 4.218693 -2.529535 \n",
"\n",
" a_actor__3 a_actor__4 a_actor__5 a_actor__6 sigma_actor \n",
"0 -2.685470 -1.728456 -0.844019 0.500316 2.390074 \n",
"1 -2.507842 -1.873292 -1.144004 0.414225 1.485859 \n",
"2 -0.309994 -0.414063 0.816621 2.577835 2.078943 \n",
"3 -1.194887 -1.007658 0.132304 1.557893 1.254438 \n",
"4 -2.441370 -2.289553 -1.060942 0.150617 2.299303 "
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"post = pm.trace_to_dataframe(trace_12_4)\n",
"post.head()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.29"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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uuUd33nlnVF/Xxx57TNJo6JZCof2HP/yhHnvsMe3cuVNDQ0OqqanR/fffr9tu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\nB6OkmxBCCCGEEAejpJsQQgghhBAH+z9257TvMxhajAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 244,
"width": 366
}
},
"output_type": "display_data"
}
],
"source": [
"pm.kdeplot(trace_12_4['a_actor'][:, 5-1]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.30"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def p_link(prosoc_left, condition, actor, trace):\n",
" logodds = trace['a'] + \\\n",
" trace['a_actor'][:, actor] + \\\n",
" (trace['bp'] + trace['bpC'] * condition) * prosoc_left\n",
" return logistic(logodds)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.31"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"prosoc_left = [0,1,0,1]\n",
"condition = [0,0,1,1]\n",
"\n",
"pred_raw = np.asarray([p_link(p_l, c_d, 2-1, trace_12_4) \n",
" for p_l, c_d in zip(prosoc_left, condition)]).T\n",
"pred_p = pred_raw.mean(axis=0)\n",
"pred_p_PI = pm.hpd(pred_raw, alpha=.11)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.32"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"d_pred = pd.DataFrame(dict(prosoc_left=[0, 1, 0, 1],\n",
" condition=[0, 0, 1, 1], \n",
" actor = np.repeat(2-1,4)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.33"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# replace varying intercept samples with zeros\n",
"# 1000 samples by 7 actors\n",
"a_actor_zeros = np.zeros((1000,7))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.34"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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TSCRQKJRQKJTweDzo6LDDam3vexIp9CWSGmi1Wuj1uVAqldEOmSguBGre+ndKt/etY7Sh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\nwVCCRx6ZyQ1gcSyiyaPT6Z9W0Wg0Yb0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9gSuniShtqdWV2LDh37F27TV48cXt+POf/5S4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\nAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 316,
"width": 327
}
},
"output_type": "display_data"
}
],
"source": [
"def p_link(prosoc_left, condition, actor_sim, trace):\n",
" Nsim = actor_sim.shape[0]//trace.nchains\n",
" trace = trace[:Nsim]\n",
" logodds = trace['a'] + \\\n",
" np.mean(trace['a_actor']*actor_sim, axis=1) + \\\n",
" (trace['bp'] + trace['bpC'] * condition) * prosoc_left\n",
" return logistic(logodds)\n",
"\n",
"pred_raw = np.asarray([p_link(p_l, c_d, a_actor_zeros, trace_12_4) \n",
" for p_l, c_d in zip(prosoc_left, condition)]).T\n",
"pred_p = pred_raw.mean(axis=0)\n",
"pred_p_PI = pm.hpd(pred_raw, alpha=.11)\n",
"\n",
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"ax.fill_between(range(4), pred_p_PI[:,1], pred_p_PI[:,0], alpha=0.25, color='k')\n",
"ax.plot(pred_p, color='k')\n",
"\n",
"ax.set_ylim(0, 1.1)\n",
"ax.set_xlabel(\"prosoc_left/condition\", fontsize=14)\n",
"ax.set_ylabel(\"proportion pulled left\", fontsize=14)\n",
"plt.xticks(range(4), (\"0/0\",\"1/0\",\"0/1\",\"1/1\"));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.35"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# replace varying intercept samples with simulations\n",
"sigma_actor = trace_12_4.get_values('sigma_actor')\n",
"a_actor_sims = np.random.normal(loc=0, \n",
" scale=np.reshape(sigma_actor[:7000], (1000, 7)))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.36"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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uUnBwsLtNfX29vvrqK73yyis6fvy4nn/+eSUmJuq6664z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\njMEjEREREfmMwSMRERER+ez/AxmW16ttqntZAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 316,
"width": 327
}
},
"output_type": "display_data"
}
],
"source": [
"pred_raw = np.asarray([p_link(p_l, c_d, a_actor_sims, trace_12_4) \n",
" for p_l, c_d in zip(prosoc_left, condition)]).T\n",
"pred_p = pred_raw.mean(axis=0)\n",
"pred_p_PI = pm.hpd(pred_raw, alpha=.11)\n",
"\n",
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"ax.fill_between(range(4), pred_p_PI[:,1], pred_p_PI[:,0], alpha=0.25, color='k')\n",
"ax.plot(pred_p, color='k')\n",
"\n",
"ax.set_ylim(0, 1.1)\n",
"ax.set_xlabel(\"prosoc_left/condition\", fontsize=14)\n",
"ax.set_ylabel(\"proportion pulled left\", fontsize=14)\n",
"plt.xticks(range(4), (\"0/0\",\"1/0\",\"0/1\",\"1/1\"));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.37"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def sim_actor(tr, i):\n",
" sim_a_actor = np.random.randn()*tr['sigma_actor'][i]\n",
" P = np.array([0, 1, 0, 1])\n",
" C = np.array([0, 1, 0, 1])\n",
" p = logistic(tr['a'][i] + sim_a_actor + (tr['bp'][i] + tr['bpC'][i]*C)*P)\n",
" return p\n",
"\n",
"# sim_actor(trace_12_4, 0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.38"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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IjgL1dqroJJM9EPujnBDxf9GO6E6ybkfpb2XDULDVZEfVPhTtqPgN+d3Qful2FBDbHw5d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I+9frdd3mIeCcu4GVzyeyHePXgtkm62iy4rYIvJOyGlY3tqPRKHq9HiRJ1P4+mvahWCy5vqQ0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\nFgStOAVRFD3B9950BQhHk0dyk23r2HpZUBQFtVptwt0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HQ3C7Q3L5rNhsRqkVMS9WEe5C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/F4ku7vS3AvTbvIds4mkynn585V7HtKNT0iVuxnEfs3IimFjg5RX/HqJSpTmdJZsT9W6UYZ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\nMXgkIiIiIsX+H76dfSYFhgq+AAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 316,
"width": 327
}
},
"output_type": "display_data"
}
],
"source": [
"_, ax = plt.subplots(1, 1, figsize=(5, 5))\n",
"for i in range(50):\n",
" ax.plot(sim_actor(trace_12_4, i), color='k', alpha=.15)\n",
"\n",
"ax.set_ylim(0, 1.1)\n",
"ax.set_xticks(range(4), (\"0/0\",\"1/0\",\"0/1\",\"1/1\"))\n",
"ax.set_xlabel(\"prosoc_left/condition\", fontsize=14)\n",
"ax.set_ylabel(\"proportion pulled left\", fontsize=14)\n",
"plt.xticks(range(4), (\"0/0\",\"1/0\",\"0/1\",\"1/1\"));"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.39"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"Auto-assigning NUTS sampler...\n",
"Initializing NUTS using jitter+adapt_diag...\n",
" 82%|████████▏ | 4924/6000 [01:58<00:26, 40.75it/s]/home/osvaldo/Documentos/Proyectos/01_PyMC3/pymc3/pymc3/step_methods/hmc/nuts.py:468: UserWarning: Chain 2 contains 2 diverging samples after tuning. If increasing `target_accept` does not help try to reparameterize.\n",
" % (self._chain_id, n_diverging))\n",
" 89%|████████▉ | 5357/6000 [02:04<00:08, 74.66it/s]/home/osvaldo/Documentos/Proyectos/01_PyMC3/pymc3/pymc3/step_methods/hmc/nuts.py:452: UserWarning: The acceptance probability in chain 3 does not match the target. It is 0.891742114153, but should be close to 0.8. Try to increase the number of tuning steps.\n",
" % (self._chain_id, mean_accept, target_accept))\n",
"100%|█████████▉| 5995/6000 [02:12<00:00, 74.15it/s]/home/osvaldo/Documentos/Proyectos/01_PyMC3/pymc3/pymc3/step_methods/hmc/nuts.py:452: UserWarning: The acceptance probability in chain 0 does not match the target. It is 0.886014219993, but should be close to 0.8. Try to increase the number of tuning steps.\n",
" % (self._chain_id, mean_accept, target_accept))\n",
"100%|██████████| 6000/6000 [02:12<00:00, 45.20it/s]\n"
]
}
],
"source": [
"dk = pd.read_csv('Data/Kline', sep=\";\")\n",
"dk.loc[:, 'log_pop'] = np.log(dk.population)\n",
"Nsociety = dk.shape[0]\n",
"dk.loc[:, 'society'] = np.arange(Nsociety)\n",
"\n",
"with pm.Model() as m_12_6:\n",
" sigma_society = pm.HalfCauchy('sigma_society', 1)\n",
" a_society = pm.Normal('a_society', 0, sigma_society, shape=Nsociety),\n",
" a = pm.Normal('a', 0, 10)\n",
" bp = pm.Normal('bp', 0, 1)\n",
" lam = pm.math.exp(a + a_society + bp*dk.log_pop)\n",
" obs = pm.Poisson('total_tools', lam, observed=dk.total_tools)\n",
" trace_12_6 = pm.sample(5000, tune=1000, njobs=4)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.40"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"sigma_society = trace_12_6.get_values('sigma_society', combine=True)[:, None]\n",
"a_society_sims = np.random.normal(loc=0, scale=sigma_society)\n",
"log_pop_seq = np.linspace(6, 14, 30)\n",
"a_post = trace_12_6.get_values(varname='a', combine=True)[:, None]\n",
"bp_post = trace_12_6.get_values(varname='bp', combine=True)[:, None]\n",
"link_m12_6 = np.exp(a_post + a_society_sims + bp_post*log_pop_seq)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Code 12.41"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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7u9DR0eF2SC3Btu2ps4kKuru74fWyHU41CoUCJibGOaqvTl566XlMTk4A2L/l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\nbrzxRqVET1o6XFVVVfGf//mffP7550rv5+TJk1m6dOkpD88OGjQISG6ve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"text/plain": [
""
]
},
"metadata": {
"image/png": {
"height": 316,
"width": 325
}
},
"output_type": "display_data"
}
],
"source": [
"# plot raw data\n",
"_, axes = plt.subplots(1, 1, figsize=(5, 5))\n",
"axes.scatter(dk.log_pop, dk.total_tools)\n",
"\n",
"axes.plot(log_pop_seq, np.median(link_m12_6, axis=0), '--', color='k')\n",
"\n",
"for alpha in [.67, .89, .97]: \n",
" alpha = 1-alpha\n",
" mu_hpd = pm.hpd(link_m12_6, alpha=alpha)\n",
" axes.fill_between(log_pop_seq,\n",
" mu_hpd[:,0], mu_hpd[:,1], alpha=alpha*.5+.1, color='k')\n",
"\n",
"axes.set_xlabel('log-population', fontsize=14)\n",
"axes.set_ylabel('total tools', fontsize=14)\n",
"axes.set_xlim(6.8, 12.8)\n",
"axes.set_ylim(10, 73);"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"This notebook was createad on a computer x86_64 running debian stretch/sid and using:\n",
"Python 3.6.2\n",
"IPython 6.1.0\n",
"PyMC3 3.2\n",
"NumPy 1.13.3\n",
"Pandas 0.20.3\n",
"SciPy 0.19.1\n",
"Matplotlib 2.1.0\n",
"\n"
]
}
],
"source": [
"import sys, IPython, scipy, matplotlib, platform\n",
"print(\"This notebook was createad on a computer %s running %s and using:\\nPython %s\\nIPython %s\\nPyMC3 %s\\nNumPy %s\\nPandas %s\\nSciPy %s\\nMatplotlib %s\\n\" % (platform.machine(), ' '.join(platform.linux_distribution()[:2]), sys.version[:5], IPython.__version__, pm.__version__, np.__version__, pd.__version__, scipy.__version__, matplotlib.__version__))"
]
}
],
"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": "3.6.2"
}
},
"nbformat": 4,
"nbformat_minor": 1
}