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@CamDavidsonPilon
Created April 15, 2015 23:16
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Volunteer Problem in PyMC
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{
"metadata": {
"name": "",
"signature": "sha256:03eb95a5e3de404cb42cf1fb5536f595c2fb08044d168a0109ab434dcb36a02e"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "code",
"collapsed": false,
"input": [
"N_signups = 100\n",
"q_actual = 0.5\n",
"r_actual = 0.9\n",
"\n",
"N_participated = np.random.binomial(N_signups, q_actual)\n",
"N_reported = np.random.binomial(N_participated, r_actual)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 1
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"N_reported"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 2,
"text": [
"52"
]
}
],
"prompt_number": 2
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pymc as pm"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 5
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"r = pm.Uniform('r', 0,1)\n",
"q = pm.Uniform('q', 0,1)\n",
"obs = pm.Binomial('obs', N_signups, r*q, value=N_reported, observed = True)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 7
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mcmc = pm.MCMC([r,q,obs])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 8
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mcmc.sample(25000,15000,2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [------- 18% ] 4664 of 25000 complete in 0.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-------------- 37% ] 9413 of 25000 complete in 1.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------57%- ] 14253 of 25000 complete in 1.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------74%-------- ] 18711 of 25000 complete in 2.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------92%-------------- ] 23020 of 25000 complete in 2.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 25000 of 25000 complete in 2.7 sec"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"%pylab inline\n",
"from pymc.Matplot import plot as mcplot\n",
"mcplot(mcmc)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n",
"Plotting r\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" q\n"
]
},
{
"metadata": {},
"output_type": "display_data",
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JkVwikfQE4vqZauhsLvAC1ht47eTyM2vcyjiw00UfqDjqVYYJna2OgSk8Z3OL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"text": [
"<matplotlib.figure.Figure at 0x10bc7eb50>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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VDrg86nB5tLGjTGYIW4BQI7kCrcboGOO2WCkMMBo+Vq8fOKlcrzExAtq1EgZz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\nMzMzsy75/7c6Fn42r9DxAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x10b7958d0>"
]
}
],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 14
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"N_sample = 10\n",
"N_sample_participated = 6\n",
"N_sample_reported = 5"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 15
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"r = pm.Uniform('r', 0,1)\n",
"q = pm.Uniform('q', 0,1)\n",
"obs = pm.Binomial('obs', N_signups, r*q, value=N_reported, observed = True)\n",
"\n",
"obs_sample_participated = pm.Binomial('obs_sample_participated', \n",
" N_sample, q, value=N_sample_participated,\n",
" observed=True)\n",
"obs_sample_reported = pm.Binomial('obs_sample_reported', \n",
" N_sample_participated, r, value=N_sample_reported,\n",
" observed=True)\n"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 17
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mcmc = pm.MCMC([r,q,obs, obs_sample_participated, obs_sample_reported])"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 18
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mcmc.sample(30000, 15000,2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [----- 13% ] 4000 of 30000 complete in 0.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [---------- 27% ] 8251 of 30000 complete in 1.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [--------------- 40% ] 12147 of 30000 complete in 1.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------53% ] 16172 of 30000 complete in 2.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------65%---- ] 19653 of 30000 complete in 2.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------77%--------- ] 23205 of 30000 complete in 3.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------88%------------- ] 26476 of 30000 complete in 3.5 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------99%----------------- ] 29934 of 30000 complete in 4.0 sec"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
"\r",
" [-----------------100%-----------------] 30000 of 30000 complete in 4.0 sec"
]
}
],
"prompt_number": 19
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"mcplot(mcmc)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Plotting r\n",
"Plotting"
]
},
{
"output_type": "stream",
"stream": "stdout",
"text": [
" q\n"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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5GsdKsZNk16do4nVFURQ3sUNEuhpjKr3TfDu95wMX4vTEM1K1zfvZ//y2wExL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\niEyWeqykSJX2WLn7XjO7EngAmAbc7u6bzOyK9P7l7n6fmV1kZluA3cC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"text": [
"<matplotlib.figure.Figure at 0x10de9e950>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": 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fPpznQu6xzy9reJCXbDsYMU3CDtsSLVsrQhYjDvOdY4F5jiPHann/WA9aR0jI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\nVjmkMg+cSh6gXKRYEfuvCO3kgy/fxwdfvg+IV0OkeOpTjVVxdMVKRER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"text": [
"<matplotlib.figure.Figure at 0x10baee1d0>"
]
}
],
"prompt_number": 20
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
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