From a67a4468c06de85431d6b12ab4290f359630cd53 Mon Sep 17 00:00:00 2001 From: theengineeringworld <40331484+theengineeringworld@users.noreply.github.com> Date: Wed, 26 Sep 2018 15:05:52 +0500 Subject: [PATCH 1/5] Election Poll Dataset --- poll-larger.csv | 10001 ++++++++++++++++++++++++++++++++++++++++++++++ poll.csv | 1001 +++++ 2 files changed, 11002 insertions(+) create mode 100644 poll-larger.csv create mode 100644 poll.csv diff --git a/poll-larger.csv b/poll-larger.csv new file mode 100644 index 0000000..9bdbee7 --- /dev/null +++ b/poll-larger.csv @@ -0,0 +1,10001 @@ +vote +Brown +Green +Brown +Brown +Brown +Brown +Green +Brown +Green +Green +Green +Green +Green +Brown +Green +Brown +Green +Green +Green +Brown +Green +Brown +Green +Green +Brown +Green +Green +Brown +Green +Green +Brown +Brown +Brown +Green +Green +Green +Brown +Brown +Green +Green +Green +Brown +Brown +Brown +Green +Green +Brown +Brown +Brown +Brown +Brown +Brown +Brown +Green +Brown +Green +Brown +Green +Green 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z(A%@l(vVc42KEV}^iAFme*AwBKmWtX2IMcX A$^ZZW literal 0 HcmV?d00001 diff --git a/engineering_04_boostraping_match.py b/engineering_04_boostraping_match.py new file mode 100644 index 0000000..268c49c --- /dev/null +++ b/engineering_04_boostraping_match.py @@ -0,0 +1,77 @@ +#coding:utf-8 +""" +------------------------------------------------ +@File Name : engineering_04_boostraping_match +@Function : +@Author : Minux +@Date : 2018/10/12 +@Revised Date : 2018/10/12 +------------------------------------------------ +""" +import math +import io +import numpy as np +import pandas as pd +import matplotlib.pyplot as plt + +import scipy.stats +import scipy.optimize +import scipy.spatial + + +def generate_random_grades(): + df_grades = pd.DataFrame() + df_grades['grades'] = np.random.random_sample(100)*10 + df_grades.to_csv('grades.csv', index=False) + +pop = pd.read_csv(r'./grades.csv') +def data_peek(): + print(pop.head()) + print(pop.describe()) + pop.grades.hist(histtype='step') + plt.show() + + +def bootstrap_sample(stats_flag=True): + bootstrap = pd.DataFrame({'sample_mean':[pop.sample(100, replace=True).grades.mean() for _ in range(10000)]}) + # print(bootstrap.head(10)) + if stats_flag: + print('quantile(0.025) is {}'.format(bootstrap.sample_mean.quantile(0.025))) + print('quantile(0.975) is {}'.format(bootstrap.sample_mean.quantile(0.975))) + else: + bootstrap.sample_mean.hist(histtype='step') + plt.axvline(pop.grades.mean(), color='C1') + plt.savefig('bootstrap_sample.png') + plt.show() +n1 = scipy.stats.norm(7.5,1) +n2 = scipy.stats.norm(4,1) + +def bimodal_distribution(): + x = np.linspace(0, 10, 100) + plt.plot(x, 0.5*n1.pdf(x)+0.5*n2.pdf(x)) + plt.show() + +def draw(): + while True: + v = n1.rvs() if np.random.rand() < 0.5 else n2.rvs() + if 0<=v<=10: + return v + +def data_set(n=100): + return pd.DataFrame({'grade':[draw() for _ in range(n)]}) + +def plot_sample_distribution(): + mean = pd.DataFrame({'mean_grade':[data_set().grade.mean() for _ in range(1000)]}) + mean.mean_grade.hist(histtype='step') + bootstrap = pd.DataFrame({'sample_mean': [pop.sample(100, replace=True).grades.mean() for _ in range(1000)]}) + bootstrap.sample_mean.hist(histtype='step') + plt.show() + +if __name__ == '__main__': + # generate_random_grades() + # data_peek() + # bootstrap_sample() + # bimodal_distribution() + plot_sample_distribution() + + diff --git a/grades.csv b/grades.csv new file mode 100644 index 0000000..9cc8978 --- /dev/null +++ b/grades.csv @@ -0,0 +1,101 @@ +grades +2.885297375052974 +3.3787232652921926 +0.5157506783237786 +7.530575169035667 +9.180303136325387 +3.247731687659651 +4.950489892885538 +8.0015009035261 +2.6078622645074114 +6.009878816172289 +4.186469107435789 +6.682784643085828 +0.8751624089495602 +4.716497971747977 +1.4581406336496172 +3.19486133862394 +9.427085671165333 +6.284416630262431 +8.824918578038467 +7.890313682109427 +4.871002855810409 +0.6317857270649152 +4.991058184260214 +7.983451855523915 +9.962823526017296 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+6.228670230996718 +0.4991353566920398 +3.661144528400065 +5.307086225597097 +8.286759912020758 +2.2077337939598807 +8.679519892820608 +9.7609243620153 +4.005484443419254 +1.8049505749718686 +6.051765899190481 +5.478650795676222 +4.099844770479421 +6.1098960622379215 +5.686654604592347 +7.229974729598268 +4.082606494697469 +0.2635738068212734 +5.92285729972296 +1.6047087942795302 +6.139898193153334 +0.6778877437965691 +7.886811347946667 +0.16635694961872893 From 429e005314fbe41e2f92192f1c3a0ce36d5963d4 Mon Sep 17 00:00:00 2001 From: theengineeringworld <40331484+theengineeringworld@users.noreply.github.com> Date: Fri, 12 Oct 2018 12:51:34 +0500 Subject: [PATCH 3/5] Updated Files Added New Lectures --- Bayesian Inference Python Statistics.ipynb | 120 + ...alidation Python Statistics Training.ipynb | 382 + Goodness Of Fit.ipynb | 689 ++ Hypothesis Testing in Python Statistics.ipynb | 95 + Logistic Regression.ipynb | 577 + bootstrapping In Python Statistics.ipynb | 578 + cholera.xls | 251 + fitting Models To Data.ipynb | 525 + grades.xls | 101 + london.png | Bin 0 -> 59070 bytes ... and confidence in Python Statistics.ipynb | 269 + poll-larger.xls | 10001 ++++++++++++++++ poll.xls | 1001 ++ pumps.xls | 9 + whickham.xls | 2630 ++-- 15 files changed, 15913 insertions(+), 1315 deletions(-) create mode 100644 Bayesian Inference Python Statistics.ipynb create mode 100644 Cross validation Python Statistics Training.ipynb create mode 100644 Goodness Of Fit.ipynb create mode 100644 Hypothesis Testing in Python Statistics.ipynb create mode 100644 Logistic Regression.ipynb create mode 100644 bootstrapping In Python Statistics.ipynb create mode 100644 cholera.xls create mode 100644 fitting Models To Data.ipynb create mode 100644 grades.xls create mode 100644 london.png create mode 100644 p values and confidence in Python Statistics.ipynb create mode 100644 poll-larger.xls create mode 100644 poll.xls create mode 100644 pumps.xls diff --git a/Bayesian Inference Python Statistics.ipynb b/Bayesian Inference Python Statistics.ipynb new file mode 100644 index 0000000..cfadd05 --- /dev/null +++ b/Bayesian Inference Python Statistics.ipynb @@ -0,0 +1,120 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# The Engineering World - A Place For Learning And Exploring\n", + "\n", + "## Bayesian Inference " + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib\n", + "import matplotlib.pyplot as pp" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "ename": "ModuleNotFoundError", + "evalue": "No module named 'pymc3'", + "output_type": "error", + "traceback": [ + "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[1;31mModuleNotFoundError\u001b[0m Traceback (most recent call last)", + "\u001b[1;32m\u001b[0m in \u001b[0;36m\u001b[1;34m()\u001b[0m\n\u001b[1;32m----> 1\u001b[1;33m \u001b[1;32mimport\u001b[0m \u001b[0mpymc3\u001b[0m \u001b[1;32mas\u001b[0m \u001b[0mpm\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m", + "\u001b[1;31mModuleNotFoundError\u001b[0m: No module named 'pymc3'" + ] + } + ], + "source": [ + "import pymc3 as pm" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.6.5" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": true, + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Cross validation Python Statistics Training.ipynb b/Cross validation Python Statistics Training.ipynb new file mode 100644 index 0000000..50af6c8 --- /dev/null +++ b/Cross validation Python Statistics Training.ipynb @@ -0,0 +1,382 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# The Engineering World - A Place For Learning And Exploring\n", + "\n", + "## Cross validation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib\n", + "import matplotlib.pyplot as pp" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import statsmodels\n", + "import statsmodels.api as sm\n", + "import statsmodels.formula.api as smf" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Loading gapminder data for year 1985 (Live Aid!)." + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "gapminder = pd.read_csv('gapminder.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "gdata = gapminder.query('year == 1985')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Refactored plotting so that it works on arbitrary datasets." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def sc(data):\n", + " return 1e-6 * data.population, data.region.map({'Africa': 'skyblue', 'Europe': 'gold',\n", + " 'America': 'palegreen', 'Asia': 'coral'})\n", + "\n", + "def plotdata(data=gdata):\n", + " size, colors = sc(data)\n", + " data.plot.scatter('age5_surviving','babies_per_woman',\n", + " c=colors,s=size,linewidths=0.5,edgecolor='k',alpha=0.5)\n", + " \n", + "def plotfit(fit,data=gdata):\n", + " plotdata(data)\n", + "\n", + " size, colors = sc(data)\n", + " pp.scatter(data.age5_surviving,fit.predict(data),\n", + " c=colors,s=30,linewidths=0.5,edgecolor='k',marker='D')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Model formulas from the last two videos" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "f_groupmeans = 'babies_per_woman ~ -1 + region'\n", + "f_surviving = 'babies_per_woman ~ -1 + region + age5_surviving'\n", + "f_srp = ('babies_per_woman ~ -1 + region + age5_surviving'\n", + " '+ age5_surviving:region - age5_surviving + population')" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "shuffled = gdata.sample(len(gdata))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "training, testing = shuffled.iloc[:len(gdata)//2], shuffled.iloc[len(gdata)//2:]" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "surviving = smf.ols(f_surviving, data=training).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotfit(surviving,testing)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "0.4079953254522058" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "resid = surviving.predict(testing) - testing.babies_per_woman\n", + "\n", + "df = len(testing) - surviving.df_model - 1\n", + "\n", + "np.sum(resid*2) / df" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "def cross_validate(data, formula, response, n=100):\n", + " ret = []\n", + " \n", + " for i in range(n):\n", + " shuffled = data.sample(len(data))\n", + " \n", + " training, testing = shuffled.iloc[:len(data)//2], shuffled.iloc[len(data)//2:]\n", + " \n", + " trained = smf.ols(formula, data=training).fit()\n", + " \n", + " resid = trained.predict(testing) - testing[response]\n", + "\n", + " df = len(testing) - trained.df_model - 1\n", + "\n", + " mse = np.sum(resid**2) / df\n", + " \n", + " ret.append(mse)\n", + " \n", + " return np.mean(ret)" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.6328902506912195" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cross_validate(gdata,f_groupmeans, 'babies_per_woman')" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.05384635172714" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cross_validate(gdata,f_surviving, 'babies_per_woman')" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "1.2083936363431724" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cross_validate(gdata,f_srp, 'babies_per_woman')" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.6.5" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": true, + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Goodness Of Fit.ipynb b/Goodness Of Fit.ipynb new file mode 100644 index 0000000..1e58a35 --- /dev/null +++ b/Goodness Of Fit.ipynb @@ -0,0 +1,689 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# The Engineering World - A Place For Learning And Exploring\n", + "\n", + "## Goodness OF FIt" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard imports" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib\n", + "import matplotlib.pyplot as pp" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "import statsmodels\n", + "import statsmodels.api as sm\n", + "import statsmodels.formula.api as smf" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "gapminder = pd.read_csv('gapminder.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "gdata = gapminder.query('year == 1985')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "size = 1e-6 * gdata.population\n", + "\n", + "colors = gdata.region.map({'Africa': 'skyblue', 'Europe': 'gold', 'America': 'palegreen', 'Asia': 'coral'})\n", + "\n", + "def plotdata():\n", + " gdata.plot.scatter('age5_surviving','babies_per_woman',\n", + " c=colors,s=size,linewidths=0.5,edgecolor='k',alpha=0.5)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Setting up model plot" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "def plotfit(fit):\n", + " plotdata()\n", + " pp.scatter(gdata.age5_surviving,fit.predict(gdata),\n", + " c=colors,s=30,linewidths=0.5,edgecolor='k',marker='D')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Three models from last video" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "groupmeans = smf.ols(formula='babies_per_woman ~ -1 + region', data=gdata).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "surviving = smf.ols(formula='babies_per_woman ~ -1 + region + age5_surviving', data=gdata).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "surviving_byregion_population = smf.ols(\n", + " formula='babies_per_woman ~ -1 + region + age5_surviving'\n", + " '+ age5_surviving:region - age5_surviving + population',\n", + " data=gdata).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "pp.scatter(gdata.age5_surviving,groupmeans.resid)\n", + "pp.scatter(gdata.age5_surviving,surviving.resid)\n", + "pp.scatter(gdata.age5_surviving,surviving_byregion_population.resid)" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "1.4979520263709156\n", + "0.9423025333008321\n", + "0.8480227300570339\n" + ] + } + ], + "source": [ + "for model in [groupmeans,surviving,surviving_byregion_population]:\n", + " print(model.mse_resid)" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "0.6364676965596588\n", + "0.7726009080146058\n", + "0.7999775707885213\n" + ] + } + ], + "source": [ + "for model in [groupmeans,surviving,surviving_byregion_population]:\n", + " print(model.rsquared)" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "103.88003937611684\n", + "150.3418060343098\n", + "86.48787556725166\n" + ] + } + ], + "source": [ + "for model in [groupmeans,surviving,surviving_byregion_population]:\n", + " print(model.fvalue)" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "\n", + " \n", + "\n", + "
OLS Regression Results
Dep. Variable: babies_per_woman R-squared: 0.773
Model: OLS Adj. R-squared: 0.767
Method: Least Squares F-statistic: 150.3
Date: Fri, 28 Sep 2018 Prob (F-statistic): 8.26e-56
Time: 14:45:56 Log-Likelihood: -250.30
No. Observations: 182 AIC: 510.6
Df Residuals: 177 BIC: 526.6
Df Model: 4
Covariance Type: nonrobust
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coef std err t P>|t| [0.025 0.975]
region[Africa] 18.2658 1.168 15.639 0.000 15.961 20.571
region[America] 17.0859 1.315 12.990 0.000 14.490 19.682
region[Asia] 17.8647 1.279 13.971 0.000 15.341 20.388
region[Europe] 15.8722 1.352 11.739 0.000 13.204 18.541
age5_surviving -0.1419 0.014 -10.294 0.000 -0.169 -0.115
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Omnibus: 13.021 Durbin-Watson: 1.947
Prob(Omnibus): 0.001 Jarque-Bera (JB): 18.362
Skew: 0.443 Prob(JB): 0.000103
Kurtosis: 4.279 Cond. No. 3.25e+03


Warnings:
[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.
[2] The condition number is large, 3.25e+03. This might indicate that there are
strong multicollinearity or other numerical problems." + ], + "text/plain": [ + "\n", + "\"\"\"\n", + " OLS Regression Results \n", + "==============================================================================\n", + "Dep. Variable: babies_per_woman R-squared: 0.773\n", + "Model: OLS Adj. R-squared: 0.767\n", + "Method: Least Squares F-statistic: 150.3\n", + "Date: Fri, 28 Sep 2018 Prob (F-statistic): 8.26e-56\n", + "Time: 14:45:56 Log-Likelihood: -250.30\n", + "No. Observations: 182 AIC: 510.6\n", + "Df Residuals: 177 BIC: 526.6\n", + "Df Model: 4 \n", + "Covariance Type: nonrobust \n", + "===================================================================================\n", + " coef std err t P>|t| [0.025 0.975]\n", + "-----------------------------------------------------------------------------------\n", + "region[Africa] 18.2658 1.168 15.639 0.000 15.961 20.571\n", + "region[America] 17.0859 1.315 12.990 0.000 14.490 19.682\n", + "region[Asia] 17.8647 1.279 13.971 0.000 15.341 20.388\n", + "region[Europe] 15.8722 1.352 11.739 0.000 13.204 18.541\n", + "age5_surviving -0.1419 0.014 -10.294 0.000 -0.169 -0.115\n", + "==============================================================================\n", + "Omnibus: 13.021 Durbin-Watson: 1.947\n", + "Prob(Omnibus): 0.001 Jarque-Bera (JB): 18.362\n", + "Skew: 0.443 Prob(JB): 0.000103\n", + "Kurtosis: 4.279 Cond. No. 3.25e+03\n", + "==============================================================================\n", + "\n", + "Warnings:\n", + "[1] Standard Errors assume that the covariance matrix of the errors is correctly specified.\n", + "[2] The condition number is large, 3.25e+03. This might indicate that there are\n", + "strong multicollinearity or other numerical problems.\n", + "\"\"\"" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "surviving.summary()" + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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dfsum_sqmean_sqFPR(>F)
region4.03927.702839981.925710655.5121212.604302e-105
Residual178.0266.6354611.497952NaNNaN
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" + ], + "text/plain": [ + " df sum_sq mean_sq F PR(>F)\n", + "region 4.0 3927.702839 981.925710 655.512121 2.604302e-105\n", + "Residual 178.0 266.635461 1.497952 NaN NaN" + ] + }, + "execution_count": 27, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sm.stats.anova_lm(groupmeans)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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dfsum_sqmean_sqFPR(>F)
region4.03927.702839981.9257101042.0493168.236854e-122
age5_surviving1.099.84791299.847912105.9616309.003514e-20
Residual177.0166.7875480.942303NaNNaN
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" + ], + "text/plain": [ + " df sum_sq mean_sq F PR(>F)\n", + "region 4.0 3927.702839 981.925710 1042.049316 8.236854e-122\n", + "age5_surviving 1.0 99.847912 99.847912 105.961630 9.003514e-20\n", + "Residual 177.0 166.787548 0.942303 NaN NaN" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sm.stats.anova_lm(surviving)" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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dfsum_sqmean_sqFPR(>F)
region4.03927.702839981.9257101157.9002251.132132e-123
age5_surviving:region4.0110.11354127.52838532.4618483.514845e-20
population1.09.8139879.81398711.5727888.313090e-04
Residual173.0146.7079320.848023NaNNaN
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" + ], + "text/plain": [ + " df sum_sq mean_sq F \\\n", + "region 4.0 3927.702839 981.925710 1157.900225 \n", + "age5_surviving:region 4.0 110.113541 27.528385 32.461848 \n", + "population 1.0 9.813987 9.813987 11.572788 \n", + "Residual 173.0 146.707932 0.848023 NaN \n", + "\n", + " PR(>F) \n", + "region 1.132132e-123 \n", + "age5_surviving:region 3.514845e-20 \n", + "population 8.313090e-04 \n", + "Residual NaN " + ] + }, + "execution_count": 29, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "sm.stats.anova_lm(surviving_byregion_population)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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": "3.6.5" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": true, + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Hypothesis Testing in Python Statistics.ipynb b/Hypothesis Testing in Python Statistics.ipynb new file mode 100644 index 0000000..931538f --- /dev/null +++ b/Hypothesis Testing in Python Statistics.ipynb @@ -0,0 +1,95 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Python statistics essential training - 04_04_testing" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard imports" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import math\n", + "import io" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "\n", + "import matplotlib\n", + "import matplotlib.pyplot as pp\n", + "\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "import scipy.stats\n", + "import scipy.optimize\n", + "import scipy.spatial" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "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" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": true, + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/Logistic Regression.ipynb b/Logistic Regression.ipynb new file mode 100644 index 0000000..c656fdf --- /dev/null +++ b/Logistic Regression.ipynb @@ -0,0 +1,577 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# The Engineering World - A Place For Learning And Exploring\n", + "\n", + "## Logistic Regression" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard imports" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib\n", + "import matplotlib.pyplot as pp" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "import statsmodels\n", + "import statsmodels.api as sm\n", + "import statsmodels.formula.api as smf\n", + "\n", + "# fix error in some versions of statsmodels\n", + "import scipy\n", + "if not hasattr(scipy.stats,'chisqprob'):\n", + " scipy.stats.chisqprob = lambda chisq, df: scipy.stats.chi2.sf(chisq, df)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "smoking = pd.read_csv(\"whickham.csv\")" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "smoking = smoking[smoking.age < 65]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "color = np.where(smoking.smoker == 'No','skyblue','coral')\n", + "jitter = 0.05*(np.random.rand(len(smoking)) - 0.5)\n", + "def plotfit(fit):\n", + " pp.scatter(smoking.age,smoking.outcome + jitter,c=color,linewidth=0.2,edgecolor='k',alpha=0.5)\n", + " pp.scatter(smoking.age,fit.predict(smoking),c=color,linewidth=0.2,edgecolor='gray',marker='d')" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "smoking['outcome'] = 1*(smoking['outcome'] == 'Alive')" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "ols_group_age = smf.ols('outcome ~ smoker + age', data=smoking).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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dfsum_sqmean_sqFPR(>F)
smoker1.00.8999810.8999818.1814174.314608e-03
age1.017.71382117.713821161.0302131.806638e-34
Residual1068.0117.4833030.110003NaNNaN
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01
Intercept1.1988281.330503
smoker[T.Yes]-0.0786220.001146
age-0.011102-0.008129
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" + ], + "text/plain": [ + " 0 1\n", + "Intercept 1.198828 1.330503\n", + "smoker[T.Yes] -0.078622 0.001146\n", + "age -0.011102 -0.008129" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "ols_group_age.conf_int()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Optimization terminated successfully.\n", + " Current function value: 0.346766\n", + " Iterations 7\n" + ] + } + ], + "source": [ + "logit_smoker_age = smf.logit('outcome ~ smoker + age', data=smoking).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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Logit Regression Results
Dep. Variable: outcome No. Observations: 1071
Model: Logit Df Residuals: 1068
Method: MLE Df Model: 2
Date: Fri, 28 Sep 2018 Pseudo R-squ.: 0.1776
Time: 15:40:45 Log-Likelihood: -371.39
converged: True LL-Null: -451.59
LLR p-value: 1.469e-35
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coef std err z P>|z| [0.025 0.975]
Intercept 6.2508 0.469 13.321 0.000 5.331 7.171
smoker[T.Yes] -0.4081 0.189 -2.164 0.030 -0.778 -0.038
age -0.0924 0.009 -10.606 0.000 -0.109 -0.075
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\n", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n1 = scipy.stats.norm(7.5,1)\n", + "n2 = scipy.stats.norm(4,1)\n", + "\n", + "x = np.linspace(0,10,100)\n", + "pp.plot(x,0.5*n1.pdf(x) + 0.5*n2.pdf(x))" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [], + "source": [ + "def draw():\n", + " while True:\n", + " v = n1.rvs() if np.random.rand() < 0.5 else n2.rvs()\n", + " if 0 <= v <= 10:\n", + " return v" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "7.13196783815238" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "draw()" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [], + "source": [ + "def dataset(n=100):\n", + " return pd.DataFrame({'grade': [draw() for i in range(n)]})" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "for i in range(5):\n", + " dataset(100).grade.hist(histtype='step',density=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "means = pd.DataFrame({'meangrade': [dataset(100).grade.mean() for i in range(1000)]})" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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+1,51.511998,-0.138123,-0.10065237333333227,-0.14928447031648787,7 +1,51.511856,-0.137762,-0.07567951644444332,-0.16506882979860255,7 diff --git a/fitting Models To Data.ipynb b/fitting Models To Data.ipynb new file mode 100644 index 0000000..cedddc1 --- /dev/null +++ b/fitting Models To Data.ipynb @@ -0,0 +1,525 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# The Engineering World - A Place For Learning And Exploring\n", + "\n", + "## Fitting model To Data" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Standard imports" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "import math" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "import matplotlib\n", + "import matplotlib.pyplot as pp" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "import statsmodels\n", + "import statsmodels.api as sm\n", + "import statsmodels.formula.api as smf" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "gapminder = pd.read_csv('gapminder.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "gdata = gapminder.query('year == 1985')" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [], + "source": [ + "size = 1e-6 * gdata.population\n", + "\n", + "colors = gdata.region.map({'Africa': 'skyblue', 'Europe': 'gold', 'America': 'palegreen', 'Asia': 'coral'})\n", + "\n", + "def plotdata():\n", + " gdata.plot.scatter('age5_surviving','babies_per_woman',\n", + " c=colors,s=size,linewidths=0.5,edgecolor='k',alpha=0.5)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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auogwCvOnVUEbMsuWLKbyo0+IiU/A+FhfIZfTSceNCt544dkZiaXqZg3n77YRbjfx9ZdfCEjViWlwkCvHDiL6O4jWgc4t6QyPw2kZorL2Lv/qzW8EIPL5Z8u+l7hw+HOcfWZytz5Hko8TM7u7u2mxARod7e3tZGZmjrvfjcP7SdM4aM/MnnCf+cafKp2fACuAm8CDFRUkoBL+LCCEYN0jVSxziUaj4Q++8iz7j5zAqjWSnFuI0GjobWlCYxngtT3bg1pb/6iBwQFuVFeTlZvHe/sPsq1sGYsKpv8G2t/by+UPf8aOghT08WkPX5dScuXmOVYVT97+RErJoROn6Bq2gcvJ7k1rSUtNnXY8c4lOp2PL3q/4fVxCQgK64Uqk9JCcPPEQUGrJKvo721k2SVXVfONP87RbUsqSYAazkJqnKeMzmUzU3LmLlJLCvBxSZvCXUUrJjz78lCWbv2x/UHvmKP/q1a9Me87BF+/9b57JjEarHX/09HhdGxve/B7h4eHjbr905SptRJKUkYmUkjtnj/LdV1+Y8+snKIHla/M0f4Z0zgshSqSUt54gLiVE7HY7+w+fwC4FKdFGnnl666xMGrGxsWxYuyYk17bZbOgjRz9I1YVH4nQ6p9XOoruzkzRG0Gonfv6wJiOe6+fPsGHHM+Nu7+ztI3G5d+0AIQS68ChcLpea4KRMiz91+O/hTfq3hRBVQogbQoiqYAWmBNaRU2eJW7qa3PLNmMITuVl7O9QhhZy8Xx30gNFoxD08+HANWI/Hg7QNT7t3UVtjPXkJk1fixERGMNLbOeH2ovxcWu5477EcdjvCblHJ/gkMDgxw9INfcvx3v2FkjhU3BII/d/g/Ad4EbvDlGL4yR4w43UTfHzaIjI3DZGoPcUShZbFYOPbzd0Cn59lv/TF6vR4hBC9s38KBUydwaw1oXHZe3D79yVxCo8Hj8WHIdJJPWkuLi7DZblB39RwGreDVZ3dOO55Q+PGvfktJYT4bZ8kSkec//hW7c+Jwum2c+eQDdr3+ZqhDmlH+JPx7Usr9QYtECap1K5Zy8OJpolMysLQ3sv35PaEOKaSGhoZI0TixupzeoZz7d83JSUl866u+PSgcGRmZcOwdIG/xUu7cusC6mIk7ivaYhojNnPzRWNmK5ZTN0Qlau7ZsICEubtxtNdev0nr9MjqXDZcujIzSNSxbHdw3BgNutFoNWq0B4RgK6rVmI38Sfq0Q4pfAJ4D9wYuqLHNuyMnK4hvx8QwMDJCydmnIWyyHWlpaGsNbnyfNYJjW7M2RkRF+8F//ln/3//yXCfv3xMXFMWiMx+5wEmYYOwwjpaSya4jtz631+/pzRW529rivXzt/FmNjJc9kJwMxANy9c5ErVgtrtjw95XmllNRUXcPU003xytUk+liymVSymmPXL+AWgpzNz9DT3U2yqtIZZ0ch3h3nZSml/E6gglFVOspc4na7p2zWZrVaOf7LH7MlNZLYqC/nGDicLs41d5G/40VyCyfuI/Qk7jXUc7fyImmFiykpC82D8PG43W5OvPeP7MxPpqGrn2NtJqQHdufGUj/k5Klv/dmUXU9PH9hP9lArqbFRnG3qYtVXv0lSim/lqi6XCyEEQ0NDVJ4+wY6vzJ5OtNMV8CUOpZRvjfMnYMleUSZTeb2Kn/z6g4Cdz2QycfvOHWw227TP4UtnzoiICHa+8UfURuVwpLmf4/WdHG3s4dyIkRVf/fakyX54eBi327t8tMVi4Z/e9b0xrcfj4dah37E9QWC6coKBWdR8bGBggGSd9zHgpQ4TxRt3sHjzDi60DZJu8M50noqr6x55KQmEhxl4ujCdmiu+d3nR6XRotVri4uLmRbL3hz8Tr7KAHwCb8U64OgP8hZSyNUixKcpDhXm5RDw2C3e6unt6+N2pSyTkLuLMJ1/wzZf2BaXyZWhoiA8PHsOjNxKrh5e/+Sc+r6drsVh475NDZCXE8OKeXYSHh/Pczm0BjzEUwsPDsTi9CT9aKzEN9CM9klgdDLskGZM8F3nAjvZh/6Ues4WY7OB8Sppv/CnLfBfYD2QAmXjH8scb5lGUgIuNjWVJUWB+qW/fbSB3xRpSM7OISM2hr68vIOd93NFzF8ld9zRF67YgUvOprqn1+Vij0UhOYixFebmAdzZyzmOLrUxGo9GwbM/LHB+AuPLtxMfH+x1/sERGRjIUHofD6eLZkjyS2m6Q0nmTHYuz6ddHERs7dd+kNXtf5mDTAMcbe7ijS2LFWtWXyBf+PLRNllI+muB/KoT4y6kOut9h80dAKd5PBt+RUp73L0xFCZziwnz2n60kKb8Ia9c9EjaUBuU60iMfllwKoXlY3+8LrVbLV3Y/WQlmdn4B2fmzs4P5phde4/D7P2NxhIflWSl0my0cbjGx9VXfyiST09J49jvfC3KU848/D22PAD/ly8XIvw68JaWc9KdSCPEecFpK+SMhhAGIkFIOjrevemirzJT+/n7aO7sozM+btLTyUU6nkw+PfIhd2FlXuI6lRWPXtH3U4OAgHx4+gTBGESkdvLpvT9BX5JpLpJQ03a2jt6ONhNR0CooXe1cv6+vj6PkK3EKQGGlk59bN6t9tCr4+tPUn4ecAPwQ24r1TP4d3DL95kmNigOtAgfThQirhK7NZfX091VSTmZdJ04kmXt356pTHSClxu92zYvH5ucBms/HzTw5RtHEbWq0WU18fdNzl+Wd2TH3wAhbwKh2gW0r5gpQyWUqZIqV8abJkf18B0AO8K4S4KoT4kRAi8rFA3xZCVAghKnp6evwIR1ECa3h4GJPJNOH2jIwMBm4OcPP4TfKTfeugKYSY88l+YGCA3t7eGekb39LaSnxe8cM7+tjERPpsY9cOVqbHn5/EaiFEF3AaOAWclVJO/Nvx5flXA/9aSnlRCPH3wH8A/u8HO0gp3wHeAe8dvj/BK0og/eKTg3g0Wt568VmMRuOY7eHh4XzrK99aUHfsUko+OvQx9kg7CZp4XtvzWlCHV4xhYThHzKNfvF+aqjw5f+rwF+Edt78BPA9cF0Jcm+KwVqBVSnnx/tcf4H0DUJRZJzEmimiDdtJkPh/u2P1hNpuJKohk3d616LJ0flc0ud1uPvzsC9o6OsbdbrPZcDgcD7/OyspCb+6mu7UFq2WYhmsVrC6enQ+e5yKfE/79OvzNwFagDO9CKO9PdoyUshNoEUIsvv/STkC1V1Ym5fF4qL5VM+PXfXXfHt54+SsLKqFPJSoqCnunnbaGNoaah4iboC/ORNxuN/2mIcxDw+Nuv1hRSdXNL1OCEIJX9u2hKMJDRE8Tu8sWs7xkyRN9D8qX/Hlo6wEuA/9VSvl7ny8gxCq8ZZkGoAFvZc+40/7UQ1sFvFPfDxw+ygt7F3aDt9nC4XDQ0dFBamrquENdSugFo0pnJbAFeArIAeqAk1LKHz9JoI9SCV9RZj+r1cqHB49RlJPJhjVzc1nN+SbgK15JKa8LIeqBerzDOm/gTf4BS/iKosx+NpsNs81Jd19/qENR/ORPL50KIAxv/f0Z4CkfyjIVZc6xWq3cuHgO60AfQqejqGwtmdm+tzWYz85evExRQR7ffXlvQFtsezwe9h/bj8Vp4flNz/vUXkHxnz9Pp/ZKKScslBdCfEtK+V4AYlKUkLl88hi2u9dZmRpLTHwEbred2hMfUyUjePrVPwxYA7e5qqG1neioSFJ87D/vq+HhYUaiRkjNT6W2vpb1q1VvnGDwpyxzqllRf/GEsShKSF07f4b4jhq2FqQTE+lN7FqthmVZqexINXL81z/1qx/OfPTmKy+yYtnkK3RNR3R0NGkyDUu1hZUlKwN+fn91trbQ2Tb/GgH7M9N2KhMvzKkos5zH46Hx0mnamps4c+U6tkdqwwHCDHqWRwnuVFeHKML5TQjB9o3beXHni9OqBLp49gwOh4O6hkbOXLz8xPEYjEbCjL71WJpLApnw1SxZZc6qvn4Ne/0NtiTpWR3l4eips7jdo+/ms5PiaKu5GqII/SOlHDWhab5bv3kLBoOB+uZ73Gm698TnS0hKJj4xMQCRzS6BnGGi7vCVOevuzSo2Zcej1WiICNOQE6Ghf2iY5LiYh/sIIdC4XSGM0jdSSj7/+Y8IHzGRtn4HS1ctnMntz26fej3chcynO3whhEYI8foUu50NQDyKEhLJGdm0mawPvx6wuYg0ho3aR0qJRzv7F3+XUqKzmtiQm0J36+wppBsZGeHkhZOzarnFhcanhC+l9AB/PsU+k25XlNls87btXHVGcqy+i0N3u0jKLSDisYTf3NNPzvLZf7es0WhYtH0flz1xrN+1N9ThPHT4/GFkseTQpUOhDmXB8mdI57AQ4v/A2z/H8uBFKaWafaHMeRqNhqde+yaa2gsszUhGiNEjlCN2B7dsOp5dMvmiJ8FitVrRarWEhYVNvTNQsHgpBYtDE+tEclJzuH75OvnxvrWWVgLPn9YKjeO8LKWUAWtlp1orzF5Nd25j6u9l5YbNoQ4lqK6dP8vAzcssT44kMToKp8tNdXsvvWHxPPXy10LWS+Z3//jfMURE8dy3/yQk13/cg/JUXxdlV4IrGK0V1NvyAuZyOXEtgKqPVRs341izlptXKrjR3Y7OEMXSfXtYHeCJRv5Kyi/GGBE59Y4z5Fe/P4Db4+abr7wY6lAUP/jTWiEC+CsgR0r5thCiCFgspfw0aNEps8aikuAs9D0bGQwGyjZuCnUYo2zZ+0KoQxilMCcTj3thT0Kbi/z5PPYu4AAe/Ca0Av9vwCNSFGVWczqdmGqvYb59dc7V+kspcToX7pKJ/iT8Qinl9wEngJRyBFV7ryjTYrPZsFqtU+8YACaTicuVV7lxqyYgyc5sNpNo7yfVZZ5zJZYDAwNUVVwKdRgh40+VjkMIEc79GbVCiELAHpSoFGUe6+zq5EDlAXRhOtblrGPJouCs6CSl5MCR4/S6tSRm5+O0Obj0ySE2lRaztLho2udNTEykddkmPG43KSkpAYw4+BISEkjYGNjCAyklUso58QDbn4T/N8AXQLYQ4hd4lzv89lQHCSGagCHADbh8eZKsKPNZU2sTueW5RMVGUXemLmgJ/9ylClzJuRSkpj18LSk9nbOXzpKVnkZ0dPS0z71y/cZAhDgv9Pb00NfVyZLlK0IdypT86ZZ5GPgq3iT/K6BcSnnCx8O3SylXqWSvKLBq2Sr6KvtoONbAlrItQbtOQ2cvCY8k+wdySldx8er1oF031DweDy7XzLXASE5JYcnyFQwPD/PhD75PbdW1Gbu2v/ztpfM03mUOJaAHPg54RIoyzxmNRl7fM1WnkifnFuPfz4VHRNI3YvPpHI1NzTS1tpGcmMCyJYvHTEibbaSU/OKzX2DX2NmQt4FFhYtmbO6EwWAgKiWd2ITZ23TN5zt8IcQ/An8C3ACqgT8WQvyDD4dK4JAQ4ooQ4u3phakoir8MeBhvYuVgXy9pCfFTHn/+8hXONnbiSi+ixuzm08PHghFmQEkpceAgKj2K+pZ6LBbL1AcFiMFgYM/X3iQ9K3vGrukvf+7wnwZK5f2fICHEe3iT/1Q2SynbhRApeNsz1EopTz3YeP9N4G2AnBy1jJyiBMqakmIqaqvJWbr84Wtut5vOmms8+9Jzkx4rpeRWaxfFG7zdJ9Ny8mi8McDAwADx8VO/WYSKRqPhxY0vMmAaYFHZoqB+IhkZGSE8fG71zPfnsfJt4NGMnA1UTXWQlLL9/t/deIeA1j22/R0pZbmUsjw5xLMZFWU+WbyokNKUaBounqT55nXqr16io/IMr+56Cr1eP+mxUkqEZvT9oC7MOCfq7pOSkigqLApqsrdarfz0h38XtPMHiz93+IlAjRDiQRHrWuC8EGI/gJRyzFRAIUQkoJFSDt3/793Af37CmBVF8dHK0mWsWFaC2WxGr9c/XJPXYrEQGTlxqwaNRkO01oN1aIiI6GicDge27laStpTNVOizWkREBH/61/8x1GH4zZ+E/5+mcf5U4OP777Q64JdSyi+mcR5FmXdGRkbobG/DOmRGejwYjOGkZGQSGxsb0LtTIQSxsbGjXrvXUM/SKcoIX9qzk0Mnz9Bqd2IQ8PreXWi12oDF9aiG2zXUV5xDZ7fg0eoIzyxg3bZd6HSBXKNJ8blb5pSyj3YwAAAgAElEQVQnEuK8lPKJinNVt0xlvuvr7eXG2ZN4BrsId9tJi9ATadAjhMDhdNE14sDk0eIOj6Vg9Xryi4pnfWXMk7pZeRnnjXOszE55+L0OWqycH4Rn//Ctef/9B0LAu2X6IDR9YxVlDhgcGODS578j0WFiU0YShpiEcffLvP+3lJKGyiMcOnOYwo07WLS0ZOaCnUEej4eOq+fZVZA66vW4yAiWWPq4W3OLopJlIYpu/lGLmCtKEEkpqTx7mqoP32VHioE1uWkY9FPfZwkhKExNZE9+Eo4rRzn64a+x22e+k4ndbsdm861mfzo6OzvJmmBNl7zkBFpqpqwLUfww+5s/KMocJaXkxCcfkdhWzVOFGeimOf5dkpnMhnAbR/7ln2e0rtzhcHDoJ//A0Z/8IKiN3iYfVlbDOYEUyISv/s8oyiNOffZ7lrj7yE1+8rr1yHAju7JiOfHrd0Nyp/8kz/rcbveE5ZxpaWm0OsZPHQ1dfeQsWznt6ypj+bMASiQwIqX0CCGKgSXA51LKB/1W3wxGgIoyF9VWXSfd3EZ6euCm2YcZ9GzPiOb0Jx+y69VvBOy8EzEYDDzz1veQUk57gtG182fou3ERgwbscRns+OrXRnWV1Gg0ZJVvpfLaScqyUx8+oO0fslAno9izODiN5RYqf+7wTwFGIUQmcBR4C/jpg41SyurAhqYoc5PVaqX14nGKA5jsH4gwhpFp7+NO9cz8uhmNxmkne5PJhPXWJXYWZbK1MJNlGjNVly+O2W/pyjIStzzPkU4bJ5r7OHpvkLroXJ752puqQifA/KnSEVJKqxDiu8APpJTfF0JcDVZgijJXXTr8OVtyxq/CCYSlGckcvHicomXLZnVCHB4eJsn45XOL5Jgo6vp6aOto4/SN06REp7Bj4w4AcgsXkVu46OG+gSoXV0bz5w5fCCE2An8IfHb/NTUrQlEe4XA4oLcFo8EQ1OsUR2mov10b1Gs8qeTkZO5awelyIaXkYlMnRSvKuHTzEoU7Cmmzt407tt/e0cGPfruff/7tJzQ23wtB5POXPwn/L4H/CHwspbwphCgAjgcnLEWZm25eqaA0aeKWBYGSl5xAY+WFoJ1fSsm5inPsP7afy9cuT+uO22AwsOX1b3Nm2MDxPg9Z218kPSub0oJSao7UEOeJG7enz+WqmyzespMlW3ZQeet2IL4d5T6f79CllCeBk/cf3iKlbAD+TbACU5S5aLCtkbLE6a8k5SshBLoRs7fJ2f1hHSklbffu0Xz7FjGJSSxZsWrKJmkT+fzk52iLtGSUZdDd2s2Rs0d4Zsszfp8nJjaW7S+P7v1fVFBEUcHYJRZHRka4cv0GA3193Dt5mIioaNYVZk0rfmV8/vTD3yiEuAXU3P965f0e+Yqi3Cct5hm7VoJO0t/f772ulBz98NeYT/+ectlLSnMlh3/yQ/p7e6d17j5XH4lp3ofOKVkp9Nh7Ahb3eDq7uviXz45ijsskZ/NuwiIiyYnUsbxk6YTHOJ1Orl+6wMnPfsf1SxcCskD7dP3+F+8xMjISsuv7yp8hnb8D9gB9AFLK68BTwQhKUeYil8uFzjlzv/SpUUa6WlsAqKm6RrFnkJLMFMIMelLjY9lTmErFwf3TOrd0yUm/DrRjF6+weNM2omPj0BsMLF23mRaLa8IJX011dzj+7g9Jb6tiq9FKelsVx9/9IU11d4Ia50QWLVuBIcjPbQLBr4lXUsqWx15yBzAWRZnTnE4nBs3MVc2E6XU47t9Vdt65RXZS3KjtWq0Gg3UQt9v/X9OVOSupPV9LZ0snNWdqWF2wOiAxT8SO1js0JaG3r4/BQRPRaZm0t7eP2ddisdBw/BN2F6WTEheDRqMhJS6G3UXp1B/7ZEZnIz+wbFVZ0DqJBpI/VTYtQohNgBRCGPCO39cEJyxFmXuEEMxkNaGUIB68wWi0SOkZU6bpQTOt0s2VJSvJGcihu6ebtFVpY9orB5rW431TunvvLu5oD26bi8E7zezcu2PMvlXnz7Aua/w5DuuyEqg6f4aNu/YENd4H+vr6SEycvWvYPs6fO/w/Af4Mb0O/VmDV/a8VRcFblWKXM3eHb3U4CI/yPiAuLt9IVUvXqO3DIzZEcsaoma3+iI+PZ3Hx4qAne4BVRXk036pixGUjOi4ajdbNUGcdCQlj5zPYBnqICh+/OW90RDi2geA+b3hUc1vznJoz4E+VTi/eGnxFUcah0WjwGCNm7Hodww6WZHtXHc3KzaWnuJzjt66QGS4YtHswRSby9MsvzVg8T2LFshIiwhv54OAXNFT2E6GTvPHCq+PuKwxhuNyOcZvRudxuhGHmOrWvXhHcoa5AmzLhCyH+/f1ZtT9gnBbIUsopSzOFEFqgAmiTUj4/rUgVZS4Ijx5VKhlMQ1JLdPSXJaBlm7biKF9Pd3c3qdHRM3JnPl1SSi6dOIoxIpKV673rJi0qyOc//OmfMjw8jFarnbClw5K1m7lx6H3KctPHbLvR2s2S3V8LauwTcTqdmM3mWT3E48tnvQfj9BXAlXH++OIvUOP9ygKQtWQ5zT39Qb+Oy+1GxiSNed1gMJCVlTWrkz1AQ10die012KvPMTAwMGpbVFTUpP170jIyGMlcQk1bD1JKJBKbzca1xlasGYtJy8gIdvjjOv3p77j0i3/CZDKF5Pq+mPIOX0r5yf2/3wMQQsR4v5RDvlxACJEF7AP+C/BX0w9VUWa/RUtLOHrhOHkpwb3OrfZelu16LbgXCaLUjAxO2QRCH0NZVJTfx296Zi/1t2v50f73MZk7cUbpiSrMJ0EOoK28wPqy9TPeZ6ho1RqawoxETeP7mSn+tEcuB94For1fikHgO1LKqe7y/w749/ePU5R5TaPREFtYQq+pgaSY4PzIezwe2glnRZDvZO12O01367BbLYRFRJK3qIiwsAmWp/JTVFQUz333z5/oHHe7msl4rZyy7NHLI3bd6+LQ6UPseWpmKnUeyM4vIDu/YEav6S9/yjJ/AnxPSnkaQAixBe8bwIqJDhBCPA90SymvCCG2TbDP28DbADk5OX6Eoyiz05qt2zj401qejfJMu0JmMhebu1izL3j98AcHBqg8fhBtfyeFsQaS9HpGnE4uXjiCKz6N1dv3EBf/5Iu6PImenh4GjAMsyl40ZltqTip13XVzrmRyJvjz0zj0INkDSCnPAFMN62wGXhBCNAG/BnYIIf7l0R2klO9IKcullOXJycl+hKMos5NWq2XNcy9zsalr6p391DFgRuSVkpyaOuW+0zp/awuXf/MTtka7eLowjaykBBJjo8lKSuCpgjS2Rruo+O27dLa1BuX6LpeLkxdOTtmwreJWBbnLcyfcnrs8l0vVl4IR4pw2ZcIXQqwWQqwGLgkh/rcQYpsQ4un7fXROTHaslPI/SimzpJR5wB8Ax6SUbwQicEWZzVLTM4gp28q1lsAl/V7zMNWeaNZv3xWwcz7KYrFw48AH7CrKQK8b/8O/Xqdj56J0qj77bVBmtB6/cBzXIhft4e3cqLkx4X42tw29YeLGcIYwA3b3ky0FKaWcdJayy+Xi1LlTT3SNmebLkM7/eOzrv3nkv+fOjANFmWHLVpdzEzh/9TTr81KfaHinuXeQOk0cO7/6etAeRl4/d5pNWfETnl9KycCQBY/0sDEzzrv/M88GNAYpJRqNBqEVk/bvMWqNOB3OCZO+w+4gTDv95w1Xqq5wo+MGGr2GJE0Se5/eO+bfRavVzr86fCnl9kBcSEp5gik+ESjKfLNsdTmdqel88cXHrE8ykhjjXwWHw+ni3L1eElZuZGf5uqAle4/Hg/VeHVEF4w+rtvZ0c7P1PCnJQ2iEpKsnkk57ARt27g7oc4odG3dw+tJpUo2prCib8PEg5SXlHKs+RuHqwnG3N99o5pll/rdzBhgaGuLW4C1Kd5UC0NHUQXVtNcuXLh+1nxDCr4ocu92OlBKjceYmhj3OrxWrhBD7gGXAw4illP850EEpynySlpnJnm//KRUnj3G1oZbiGB3ZiXGTJm/TsJXrXWZc8Wms/dp3R02wCgaz2UyCbvzhC9OwlTvdR9i9RY8Q93/1F3v4+PRF6u7UsnhJScDi0Ol0bN809T1mcnIysbdi6W7tJiVrdA1sd2s3CfYEkpLGzlPwxfDwMBGJX86YjkuOY6BmYJIjfNN05w5Op53S1eVPfK7p8qcs85+ACGA78CPgVUA9FVEUH2i1WtbveAaPZyd3blZz/HY1WE3oHCOE6wQCcLgldm0YMjySqLQ81u7aOO0FxP3lcrnQT/AGdL3pOpvKtGPeoNaXGrh042BAE74/9jy1hwuVF6itrUWfqAcJrn4XhcmFrN+6ftrnTU5OZqhiCGeBE51eR8PlBvat3DflcVJKKs+ewtzVRnxGLis3bBr1b7Z4+fJJjp4Z/tzhb5JSrhBCVEkp/1YI8T+Aj4IVmKLMRxqNhiXLV7BkuXe4wuVyYbPZkFJiMBgCVufur4iICIadnnG3uaUZY9jYvjVuIFw/fr96f0gpMZlM2Gw2wsPDfZ4lLIRg45qNbJAbMJu9C8/ExMQ88bCXTqfjtR2vceLiCdweN7uW7vLp08LlE0fJ6LvLmsQ4mlqqqHS7WLPl6SeKJdD8SfgPVnawCiEy8C6Ekh/4kBRl4dDpdLNiZmZERARDYeP3ARIyAqfLhF735Vi9RGLXGtAapl+P7/F4uHztMvU99WgTtOgj9DgsDjz9HorSiihfWe5T8hZCBLyVRGRkJPu27aOt5R6JCb7V8ls6W8hK865JkJccT2N7c0BjCgR/nrZ8KoSIA76Pt4dOE97aekVR5oGcFevG7QO0LGc5FTcdo14zWUZoMcWzaOn0SkTdbjcfHPyAwdRBincVU7i6kJwlOSxas4jiZ4rpS+zjo0Mf4fGM/6ljphz78NfU3Zy4PPRR2ph4TBbvfXH/kAVD7Oyb9CV87eUshAgH/hTYircc8zTwv6SUtkAFU15eLisqKgJ1OkVR/CCl5ND7P2d9lIu4yNFtnmvu1dNmqqAoz47D5eLU3TDKtv9bVq8du0CJLz478Rnhy8OJiYuZcB9Tvwl3rZvdW3dP6xqB4E/nU5fLxdkDv8djHkAbl8jmvS/M2CpYQogrUsopnwb7M6TzHt6Ztf/z/tdfB34GvD7hEYqizBlCCHa++g2Of/w+af1dlGQko9V6BwGW5hSS78jmaFUtPYZYvv7n/5qIiOn1/rdarQxoBkiNm3y2cGxCLLWuWux2e9CebQwPD3P+2nksDgs5STmsKl01qszUn+cBOp2Op194JRhhBow/d/jXpZQrp3rtSag7fEWZHTraWqm5cBpMvQiPG6nRQmwSSzdsJT0z64nOffLCSVgCkdGRU+5rHjQT1hDG5rWbn+ia4zGZTHx09iMKNhVQ87sjWIZHyCvayCt7pp+03W43lVWVLMpbRPwM9hsKxh3+VSHEBinlhfsXWA+cnW6AiqLMXumZWaS/8vWgnHvQOkhmdKZP+8bExdAx1BGUOM5cPcPibYsRQqAdthAFuFPcdHR0kJ6ejsPhwGAw+HXOa9XX6IjpoPFSI6/vmX2DH76seHUD75i9HvimEOLe/a9zgVvBDU9RlPnGO+vAj/2DNLvY5rFhCPMm9OI3XkQIgX3ETmdPJ/3mfi40XqAkuYSNazb6fM5FeYtouNjA0tylQYn5Sflyh6+WJFQUJWDS4tPo7+knIXnsAuWP6+3oJTPJt08D/ooLi8MyZCEyOvLh8FLrrVbKl5RjHjajdWmJivSvZDY2NpbXds/ehWmmLMuUUjZP9mcmglQUZf4oKy2j+2a3T/v21PSwomTinjoTHtfTw89++7NJ99lSvoV7Z+7R1dLFiGWE+qv1pMk04uPjyc3O5Vv7vkVXTxcHjx/0+/qzVeBXZ1AURZmEXq8nNzqXrnuTt47uaOigKLHIr9JGl8tFe3s7A729FGcUUF93h56ennHr+cPCwvjD5/6QPFsenlsetmVvY8emL8tMh4aGuOe4R21bre/f3CznV/M0RVGUQNiydgtHzx6lvr+e3NJcdI/033c5XTRWNZLuTmfDxg1Tnquro4OaS2fwmPvR2UdIMWqw9LehdTnQpRfQ6fRw0wkeYySGxDRWbn76YTM6jUbDsiXLxj1vTEwMq1NXk7B46qGnucLnssyZoMoyFWVhaW9v53LNZYbkEB7hQXgEMZoY1i9bT1pa2qTH3qmupqnyHKnSSklG0qhFW+prjxAZ7iIqccuo1hWWERtVnQMMRySwfOsu0jKD83xgpvlalqkSvqIoc4rVauXMJx+S7zFTlDZ++4LurhbsditZOcXjVgV5PB4q7nXjzCxmw849Ew4bORwODp45yKBnECSkhaexc9POKdcAuHi5gjVlq0Z9cgkmlfAVRZl3muvvcufoJ2zNTcToZ438ePrMw1zotbHllTeIjYsbs/2jwx+RvD6Z8Ehvm+qBngG0DdpRY/2+cjqd9PT0kJ6eHvBSU18TflAf2gohjEKIS0KI60KIm0KIvw3m9RRFmb/qa2/RduITdi1KG5Xs61vbuVxdQ9+g2e9zJsZEsSc3nnPvv8tA/+jGcQ6HA4vegjHC+HBB9fjkeDos05sIdvyDXzBw5DecP/z5tI4PhGBX6diBHffbL6wCnhVCTP0URlEU5RGtTY10nj3IpoLRd8eXbtzE2VrPEq2V61cu0tXn/8pUOq2W3YWpnP/te2MWZhdCcP7EeY4eOPrE34N0u9FrwDPJwujBFtSEL72G73+pv/9n9owhKYoy6zkcDqoP72dT/tiHuMN9PSxJiyc6PIztBWnU3K2f1jW0Wg0785I4s/+Dh3fzBoOBcHs4ySnJZGV5+weZ+k2khKdMdqoJbXvtDQybX2TTnqlXzwqWoNfhCyG0QohrQDdwWEp58bHtbwshKoQQFT09PcEOR1EUP3k8Hg5/9g5H9/9fXLl4eMavf/bz/WzOGH8lK6cUDxO0ecROWNj0FwgPM+gp0li4Wfnlc8R9T+3D2G3E3e/m1rFb9J7rIdajp+lunf/nDwsjLz8/oIu++yvoV5ZSuqWUq4AsYJ0QovSx7e9IKcullOXJycnBDkdRFD8NDAyQHHWbnRt1mHrOz+i121tbiB9sJTpi/LV9y1au4PP6bk40dHGh187a5U/Ww6YgJYHOyrM4HN4FX4xGIy/veplv7vwmOxc/TWpnK0vMDQyfP8CVMyef6FqhMGMTr6SUg0KIE8CzQPVMXVdRlCcTFxfHhb50rFc6MUROf3Hw6ag5f4ptmRMPoaQkxPPcrp1+LVQylVUpkdy4fJE1m7c+fE0IwZ2KC2wrykQIQWlkBMfqb8IsW7N2KkFN+EKIZMB5P9mHA7uA/xbMayqKElharZa9L/0VNptt2oueTIfVaiXM3IM2afIJWBDYjppJMdFU3qlGbtoy6rzaMCMj9kEijGFIKbnd0kzZwMCM9r1/UsG+w08H3hNCaPEOH/1GSvlpkK+pKEqAaTSaGU32ADevXGR5ysRLIAZThtZOV2cnaenpD19bt3MPR3/1U+I9/ZjcsGHva0RGTr2Iy2wS1IQvpawCyoJ5DUVR5qehznZik2b2TeaB7PgY6urvjEr4RqOR5779xw+XXAxWn/5gUt0yFUWZlYRteOqdgiQmMhxzV/uY14UQGI3GCZO9y+XCHcI6+6mobpmKosw6brcbjd0CxAbkfDaHg6rbd7GYzaDVsriwgIzk8fvwgDex+/uGc7biLHdNd5Euydq8tSxbPH4XzlBSCV9RlFnH4XAQpgnMkEm/aYiLly6yMTOOuMwoXG4PN27foK0zhbXLSwBo6myjrusyceG5rC32jkIP9PVy9P2fg/SwaO1mcgsXTXgNl8vFXdNdlm3zJvmrR67OyoSvhnQURZl1Hi+zlFLS2T84rXNVXLvO7sIU4iK8k7J0Wg1lWUnIgc6H/Xfqu26zc6MTk60BALPFykBdNTuSdexIMdBy/Pd0d07cQ0ej0eBxeh7Gytj1VmYFlfAVRZl19Ho9zkdWqersH+Qfzp/Gdn9ClK+sNjtR0oF2nNmtqzISuXW/FcOK3NUcOxdHVvwqAFo6u1mR6p3dK4RgdWYSDbcmnj6k0WhYX7Ce20duc/vwbbav2u5XnDNFDekoijLr6PV6HEL/8Ov0xHj+z117/G6J7HC5MOrGv6/VazW4XN43kOS4OHateubhttjoSJobv3z42m0eJnbJl50APj7yMcO2YV7d+Srh4d5ZwCXFJZQUl/gV30xTCV9RlNkpYnQNfnjY6GRvMvXT232X1PTFREWN/3A3NjKCPsf4/Rqb+4fIzMgZd1tyXBwdcTmcqGtDqwF3Sh5Pr1j5cHuftQ9drI6hoaGHCX8uUAlfUZRZSR+TgNNlGrV04aN6u+9SkGGhsb2eqKLV4+4jhCA9O5dbnW2UpH05I9Zqd3Jz0MHesoxxj2sfMLH9pdfJzstDSonhsU8WL29+GYvVQkqKf50z+3p7uHLxU9ZteomzR/8eXVgyu5//3ozV9KsxfEVRZqXisnJutfdOuD01fTGN7bGkZRZPep7SogJcCRn8+FI1R+raOVrfzaUBN7u2bp6wc2WjxU1Ofj56vX5MsgdITEwkJ3v8TweT0Wg06PRG+vq6yE0dQDru4fHM3BNedYevKMqslJqeTpVm4pm2UVGxE97ZP04fpmXNFgt9XdnsWLVp0jtqm8OBNiV72uvRdna0c6fmLDqdkdJVTxMT8+XQVHxCIjt2fx0pJTW2N1menzTherrBoBK+oiizVlpJGW2NV8hMHLverD+KsrK5Vr+eDUsWTZjsh0ds/O78fhp6myja8FWGh3cTFRXl13UunPmEMNcJNi2NxOFwc+nUKbKKv8mi4uWj9hNCUFI65RK0AaeGdBRFmbWWla3h+pAHt3v6wx4t3Z2cqj5NZmIakeHjL5AipeS3Z35DYfE13v7mCOHuQxz//O8fLq7ii/6+PjQjJylbFo1OpyEiQs+29ZE01nw0o8M2k1F3+IqizFoajYZ1+17l0qe/YGN++tQHjONW+xl2b5YcOnOG9MSXxt3HbBlBb+wlIxNS0pJJbHOhj+7DbDYTGxuL2+2m5uYVOu+dQ6uxYrM7aev28Nzzf0RGpnf5w4a7V8nLEtyu6yYvJ4GwMG96TU8009vb6/cD3mBQCV9RlFktKSWFxsKVNHffITfJ/6Ed4Yml6k4nes3EK+qFGXS4NeFcupNKY68bXVgmDpeOsLAwujrbuHLmHVYtsVK63tsOuaOriwh9C913h6i+uoTte97CGB7LsROX2bzKxonT8ezZ5V0sxjKimTWlmyrhK4oy65U/tZ1TB8xo+7rISvSvodrOlTvpHxpmefrE4/G1XQMYs19iaWEL2WkGWrucDMmtWIaHuHHxh+x9yoAQX/a+T09NJTUlGY3QYB5u5MiBdxiySE6cuUlWSioup/daIyNOTPZ8oqOjAR520pzJB7WPUglfUZRZTwjBU8+9yJkvPsXS0czi9CSfj9VqNSTHjb+Qisfj4UJTJ3FrtvG1VatparzDnc5mkjNyWZZfzOHP/pGdGwzjPujVCO8jUJ1GQ++990lPS+A731hGy70WahtvU9+qJTFtA6984zsAWCwWfvs/v4/V5WTrV79OYnwi6enpCCE4cfRj1m96NuifBIK9xGE28DMgDW87oXeklH8fzGsqijI/CSHYuvcr1FZd58jF42zOThgz+9YfveYhLvU6WPPcH5Ca7p2AlZdfTF6+t65/aGiISG0TmsdKQyUSwZdvAGfPX+e13ZK2PjuFRduIjznDouybXL3dzZLcQWqqKzC73NR11WHOcWCICacxopE7/XcYqRohJz6H7NxSwsLCpv29+CrYd/gu4N9JKSuFENHAFSHEYSnlrSBfV1GUeWrJipXkLCri3IHfEdHWwcqMBCKMvifLPvMwN3qGMeQuYc+3n5lweKXxbjVFuaOrdDzSQ2dXJxlp3jcIq9VJZNgAbvcIjhErbo+b1IzlNA53UZDZw8HDRxnJ0LDzjRdZtXYVXd0pGI0RxMbcfxaxFMwDZk5dPENEVBTpadN7MO2rYC9x2AF03P/vISFEDZAJqISvKMq0RUREsPPVb2A2m6k8exJbQyOJWg/p0UaSY2PQar+sOHe6XHQOmGgfdmASRhKKStj47IYp76idzhHCYkenSI3QPEz2ABarg5goD0PmXqxDI9TXHiczdz1hEVmMdHbRKGJ5ascyhq19RMZE4nHb0YjRnxhi4mMo3VPKwWMHeV73PElJvg9X+WvGxvCFEHl417e9OFPXVBRlfouJiWHL3q8gpWRwcJD25iZq7zWAywlSIgFdRCxpK9ZQmp3j16LjkVGJDFmcxESP/8bgdDmxWbvp7NWQmSiIj4sgP1dLc1cTxUvX8mFlGCufW0tOSg/S00Nzk5m8/OVIKWltbqCvpwedMYKcvDyio6Ip2V7CgYMHeHPfm0HrrTMjCV8IEQV8CPyllNL82La3gbcBcnL8702hKIoihCA+Pp74+HhYVRaQcxYWlXD6CyOZaeNvv9d4jfSEQUxDVtq6tWg0go5uB9GxKdTU9RFRVEqYbgin3UNsbDI9piEAKi+epq+tiiidh2iDgabOKmz6BMq2PENUfhT3Wu6Rm5MbkO/hcUGfaSuE0ONN9r+QUn70+HYp5TtSynIpZXly8sR1soqiKDNJr9ejDS9laNg+7natzoh52EPZ8mwq7i7jUt1amvtKud0cw0cXdRSvXo9WY2dwYID6pgGMEWnU19/Abb3E5lIPG5ZrSE214XT0k+rs4+z+97Hbu/n02O/9muHrj6AmfOH9XPJjoEZK+f8F81qKoiiBtunpVzh1NR6LZexKW7n5pUQnb8GpWYwmfB0ZGUU09+RQvOavyVtRTtdgD+awJGp6EolK2kiYMRpsN8hN02DUa7DZPSRGalleKHCKEZLDPBRE68HcwKH3f/6wZj+Qgn2Hvxl4E9ghhLWc64wAAAxGSURBVLh2/89zQb6moihKQOj1ep55/i+5WFvE2SsjDA97E7+UkrYOK+evR9Dr2E5xtondW7Ts2zLMz372feruVjBs6yZ/WSmlW9ZjdYww2NdEQqwHnd7AiM1NmFaD0GjQ6bQYwh0g3bicLqKjwlkX6eTMgd8H/PsJdpXOGWBmOvsriqIEgcFgYMezbzE8PEz1tVOMWHpACFIzSti+rwybzcaVE8cBcLglTnM1hYXphEd00dloxOkQZMXm4BROQIPTLYnW6h5WErmlxCns9I3oKNZp0QqIj4pE29CM1WolImLiFtH+UjNtFUVRfBAVFcWGLWMHKCIjI0nMfoVjl87iETmsXgU97l7SExNpuHybFUuTGB6yYhoW6FzDuGwOBjVa4oQeg1ZD/4gVm8dFUlrY/9/evQdHVZ5xHP/+khBCwj3cJAh4oUpBuaqAVamiVeu1omKHVq1W7dSxtmNb244VWnuxY8fROrXVlqrtjEKtt7FVsSpWR8GCGokoKKIioiFcEpJAbjz947zBNd0lm5hlT9jnM7Ozu2cv55cz7z45592z78v2+nryd0b99xOG9Wflshc46ouzuuxv8ILvnHOf0bjDpzHu8GkALF/6BKuXLWTLyp0cevAwhgwqoai2gbXvbKTnoGqGDjDydu2isr4JDJqtBdGTkfv15/21VRxSGI0V1Ke4F/XVW7o0p4+H75xzXWjqtC9x6eW/p8+uMdQ39mFbzU5Wrd7EMdOG02/ggWzaWkR+QQ/yejRS19TCm+t6Ul/bi3feg+b1O5g0cn8gGudHeV27T+57+M4518WKiooYM2AMlfn9sJ7FDBq0nKKehZTtV0pVfguVlZuo2VFI1bYCDh55MKU96qlcu5nBtQN2T9q+5qMqDpxxepfm8j1855zLgBlTZtB3a1/qKut3j9fT3NzMzoZq8lTHmEGFFDTn0bxjJ6vLN1G39H2O/txYIDoLaF1DHvuPHt2lmXwP3znnMuT4GcdTvqqchxYvoWlSC/2HN1NSVE1LYwurN9ayYd0W6iqWUfuO8e0TLqakpDdmxjNvf8ikL8/p8iEWvOA751wGTfj8BA4aeQO/nncWPYvX0bdfA5urd1FV2cDY0lrmntyLux8oYPv2Sl55r5hN+SVMOO0Chg4f3v6bd5AXfOecy7D8/Hz2K23mmAn5NDbsZFtNI0OPaqGmJo+Hn99JnUawvGkLp5z4fSaVlWUsh/fhO+dchr215k3GH7SdUSMKmTi2mCnj+rLg/iZKinswZHABI0aVMWnyEEp6p56GsSv4Hr5zzmVYXV0VA/vl06fvQGqqd0FBC9ddPY4tVVUcNriQNRt6U7ejgKKioozm8ILvnHMZNmzYKNau7814Wujff8ju5QP796OxcRdrPyqigdEZn+bQu3Sccy7DRh8whq2NU1j3QdP/DX28vKKJzbVlTDrynIzn8D1855zLMEkce+LVPLe4gS01rzOsdAdmzbz4KtQ0T+es839M6aDMzwfiBd855/aCocPKOGPOTVSUv8BrH75Ji/Xg6NNPpiyDZ+W05QXfOef2ksLCQiYfMROYmZX1ex++c87liExPcbhAUqWkikyuxznnXPsyvYd/F3ByhtfhnHMuDRkt+Gb2H6BrR/B3zjnXKd6H75xzOSLrZ+lIugy4LNytlbQ6m3k6aRBQle0QneTZs6O7Zu+uuWHfzj4qnTdR2199dTVJo4FHzWx8RleURZKWm9nUbOfoDM+eHd01e3fNDZ4dvEvHOedyRqZPy7wXeBE4RNIHki7J5Pqcc86lltE+fDO7IJPvHyN3ZDvAZ+DZs6O7Zu+uucGzZ74P3znnXDx4H75zzuUIL/gdJOkQSa8mXGokXS1poKQnJb0VrgdkO2tbe8g+T9KGhOWnZjtrW5K+K+l1SRWS7pVUJOkAScvCNl8oqTDbOZNJkf0uSesStvnEbOdMRtJ3Qu7XJV0dlnWHtp4sd2zbebJhaFJtZ0VulfS2pNckTU57RWbml05egHzgI6JzYH8DXBuWXwvcmO18Hcg+D7gm25n2kLUMWAf0CvcXAReF6zlh2R+Ab2U7awey3wXMzna+drKPByqAYqLv+/4NjIl7W99D7ti2c+BYYDJQkbAs6XYGTgUeAwRMA5alux7fw/9sTgDWmtl7wJnA3WH53cBZWUuVnsTs3UEB0EtSAdEHeSNwPHB/eDzO27xt9g+znCddY4GlZlZvZs3As8DZxL+tp8odW5Z8GJpU2/lM4B6LLAX6S9ovnfV4wf9s5gD3httDzWwjQLgekvJV8ZCYHeDKcHi4IG6H6Ga2AbgJeJ+o0FcDK4Bt4QMN8AHR3nSsJMtuZovDw78I2/xmSZmdzLRzKoBjJZVKKibas9yf+Lf1VLkhxu08iVTbuQxYn/C8tNu+F/xOCv3FZwB/z3aWjkqS/XbgIGAiUVH6bZaiJRU+mGcCBwDDgRLglCRPjd0pZ8myS5oL/Ag4FDgCGAj8MGshUzCzN4AbgSeBx4FyoHmPL4qBPeSOdTvvACVZllbb94LfeacAL5vZx+H+x62HVeG6MmvJ2vep7Gb2sZm1mNku4E7gyKym+3+zgHVmtsnMmoAHgBlEh7KtvyUZQTy7SpJmN7ON4ZC8AfgL8dvmAJjZn81sspkdS9Tl8BbdoK0ny90N2nlbqbbzB3xyxAIdaPte8DvvAj7dJfIIcGG4fSHw8F5PlL5PZW/T/3c20SFxnLwPTJNULElE3z+sAp4BZofnxHWbJ8v+RsIHWUR9s3Hb5gBIGhKuRwJfIWo3sW/ryXJ3g3beVqrt/Ajw9XC2zjSibsKN6byh//CqE0K/4HrgQDOrDstKic7AGEn0IT/XzGI3F0CK7H8lOsw14F3g8nQb0N4iaT5wPtGh+SvApUT9lvcRdYm8AswNe8yxkiL7Y8BgosPzV4ErzKw2ayFTkPQcUAo0Ad8zs6e6Q1tPkTu27VzRMDQziUbF/Bi4HniIJNs57CTcRjS5VD1wsZktT2s9XvCdcy43eJeOc87lCC/4zjmXI7zgO+dcjvCC75xzOcILvnPO5Qgv+M45lyO84Lt9mqSZkqoThsT9aRYynCHp2nae8zNJs/ZWJpeb/Dx8t0+TNJNoSNzTMryegoSB3JyLJd/Dd7El6SFJK8IkFpeFZZdIWiNpiaQ7Jd0Wlg+W9A9J/w2XozuxvhJJ/5RUHibPOD8sf1fSoHB7qqQl4fY8SXdIWgzco2gylnEJ77dE0hRJF0m6TVK/8F554fFiSesl9VA0IcrshPXNl/SypJWSDk34G58My/8o6b3WXM6lwwu+i7NvmNkUYCpwlaQy4DqiSR9OJBptstUtwM1mdgRwDvCnhMemhyL+WGJBTuJk4EMzm2Bm44lGWmzPFOBMM/sq0TAP58Hu8YmGm9mK1ieGoSzKgePCotOBJ8Kgam1VmdlkohEerwnLrgeeDssfJPrJvXNp84Lv4uwqSeXAUqLRAb8GPGtmW0KRTByaehZwm6RXiQaX6iupD/AyMMrMJgC/IxqfJJWVwCxJN0o6pnWsoXY8YmY7wu1FwLnh9nkkHzp7IdG4OhDNSbAwxfs+EK5XAKPD7S8Q/VPBzB4HtqaRz7ndvOC7WAp977OA6aFYvwKs3sNL8sJzJ4ZLmZltN7Oa1kHJzOxfQI9U3SBmtoZoj30l8KuEL3ib+eSzUtTmZXUJr98AbJZ0OFFRvy/Jah4BTpE0MKzr6RR/T+sgcC1EM2ZB8nHQnUubF3wXV/2ArWZWH/qwpxFND3icpAFhHPxzEp6/GLiy9Y7CpOCShoXRBZF0JFGb35xshZKGA/Vm9jeiWapaJ4d+l6g402adydwH/ADoZ2Yr2z4Y/vm8RNQF9aiZtbTzfome55Muo5OAuM/Y5GLGC76Lq8eBAkmvAT8n6tbZAPwSWEY0MfUqoukOAa4Cpiqavm4VcEVYPhuoCF1DtxJNep7q1LTDgJdCt9BPgBvC8vnALWHI3fYK9P1EXTWL9vCchcBcUnfnpDIfOEnSy0ST2GwEtnfwPVwO89MyXbciqbeZ1YY9/AeBBWb2YLZz7Q2K5r1tMbNmSdOB281sYrZzue6joP2nOBcr88IPlIqIunH29CXsvmYksCic1tkIfDPLeVw343v4LueEGZueSvLQCWaWtH/fuX2BF3znnMsR/qWtc87lCC/4zjmXI7zgO+dcjvCC75xzOcILvnPO5Yj/AZBBh6hV5g4nAAAAAElFTkSuQmCC\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotdata()" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "model = smf.ols(formula='babies_per_woman ~ 1', data=gdata)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [], + "source": [ + "grandmean = model.fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "grandmean" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "def plotfit(fit):\n", + " plotdata()\n", + " pp.scatter(gdata.age5_surviving,fit.predict(gdata),\n", + " c=colors, s=30, linewidths=0.5, edgecolor='k', marker='D')" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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"data": { + "image/png": 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\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotfit(groupmeans)" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Intercept 6.321321\n", + "region[T.America] -2.663139\n", + "region[T.Asia] -1.545744\n", + "region[T.Europe] -4.285639\n", + "dtype: float64" + ] + }, + "execution_count": 28, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "groupmeans.params" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "metadata": {}, + "outputs": [], + "source": [ + "groupmeans = smf.ols(formula='babies_per_woman ~ -1 + region', data=gdata).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "region[Africa] 6.321321\n", + "region[America] 3.658182\n", + "region[Asia] 4.775577\n", + "region[Europe] 2.035682\n", + "dtype: float64" + ] + }, + "execution_count": 30, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "groupmeans.params" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "region\n", + "Africa 6.321321\n", + "America 3.658182\n", + "Asia 4.775577\n", + "Europe 2.035682\n", + "Name: babies_per_woman, dtype: float64" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "gdata.groupby('region').babies_per_woman.mean()" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "metadata": {}, + "outputs": [], + "source": [ + "surviving = smf.ols(formula='babies_per_woman ~ -1 + region + age5_surviving', data=gdata).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotfit(surviving)" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "region[Africa] 18.265792\n", + "region[America] 17.085884\n", + "region[Asia] 17.864741\n", + "region[Europe] 15.872183\n", + "age5_surviving -0.141886\n", + "dtype: float64" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "surviving.params" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "metadata": {}, + "outputs": [], + "source": [ + "surviving_byregion = smf.ols(formula='babies_per_woman ~ -1 + region + age5_surviving:region', data=gdata).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plotfit(surviving_byregion)" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "region[Africa] 15.080914\n", + "region[America] 27.506243\n", + "region[Asia] 20.032483\n", + "region[Europe] 19.884446\n", + "age5_surviving:region[Africa] -0.104053\n", + "age5_surviving:region[America] -0.251994\n", + "age5_surviving:region[Asia] -0.165384\n", + "age5_surviving:region[Europe] -0.183029\n", + "dtype: float64" + ] + }, + "execution_count": 38, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "surviving_byregion.params" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "metadata": {}, + "outputs": [], + "source": [ + "surviving_byregion_population = smf.ols(formula='babies_per_woman ~ -1 + region + age5_surviving:region + population', data=gdata).fit()" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "dist.Brown.hist(histtype='step', bins=20)" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "25.045" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "100 - scipy.stats.percentileofscore(dist.Brown,0.511)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [], + "source": [ + "largepoll = pd.read_csv('poll-larger.csv')" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Green 0.5181\n", + "Brown 0.4819\n", + "Name: vote, dtype: float64" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "largepoll.vote.value_counts(normalize=True)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [], + "source": [ + "dist = pd.DataFrame({'Green': [sample(0.50,10000).vote.value_counts(normalize=True)['Green'] for i in range(1000)]})" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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-Alive,Yes,23 -Alive,Yes,18 -Dead,Yes,71 -Alive,No,67 -Alive,No,64 -Alive,Yes,38 -Alive,Yes,45 -Dead,No,76 -Alive,No,28 -Alive,No,27 -Alive,No,28 -Alive,Yes,34 -Alive,No,20 -Dead,Yes,72 -Alive,Yes,48 -Alive,Yes,45 -Dead,No,66 -Alive,Yes,30 -Alive,No,67 -Alive,Yes,33 -Dead,No,68 -Dead,No,72 -Alive,Yes,34 -Dead,No,61 -Dead,No,66 -Alive,No,43 -Dead,No,71 -Alive,Yes,47 -Dead,No,67 -Alive,No,22 -Alive,No,39 -Dead,Yes,71 -Alive,Yes,38 -Dead,No,80 -Dead,Yes,59 -Alive,Yes,47 -Dead,Yes,56 -Dead,No,62 -Alive,Yes,30 -Alive,Yes,51 -Alive,No,34 -Alive,No,39 -Dead,No,56 -Alive,No,32 -Dead,No,56 -Alive,Yes,60 -Dead,Yes,60 -Alive,No,30 -Alive,Yes,33 -Alive,No,37 -Dead,No,66 -Dead,Yes,71 -Alive,Yes,23 -Alive,No,38 -Alive,Yes,36 -Dead,Yes,38 -Alive,Yes,50 -Alive,No,45 -Alive,Yes,36 -Dead,No,55 -Dead,Yes,73 -Dead,Yes,52 -Alive,No,52 -Alive,Yes,37 -Alive,No,61 -Alive,No,39 -Alive,No,72 -Alive,Yes,25 -Alive,Yes,50 -Dead,No,68 -Alive,Yes,53 -Alive,No,31 -Dead,No,73 -Alive,No,54 -Alive,Yes,56 -Alive,Yes,51 -Dead,No,76 -Alive,No,55 -Dead,Yes,56 -Alive,No,56 -Dead,Yes,69 -Dead,No,79 -Dead,Yes,75 -Dead,No,67 -Alive,No,20 -Alive,No,20 -Dead,No,68 -Dead,Yes,68 -Alive,No,21 -Alive,Yes,29 -Alive,Yes,33 -Alive,Yes,30 -Alive,Yes,24 -Dead,Yes,61 -Alive,Yes,54 -Alive,No,26 -Dead,No,68 -Alive,Yes,49 -Dead,No,72 -Alive,No,21 -Alive,No,28 -Alive,No,47 -Dead,No,68 -Dead,No,71 -Alive,Yes,59 -Alive,No,64 -Alive,Yes,47 -Dead,No,84 -Alive,No,28 -Alive,No,67 -Alive,No,30 -Dead,Yes,33 -Dead,No,68 -Dead,No,55 -Dead,No,79 -Alive,No,40 -Alive,No,43 -Alive,Yes,37 -Dead,No,73 -Dead,Yes,45 -Alive,No,49 -Alive,Yes,44 -Alive,Yes,74 -Alive,Yes,20 -Alive,Yes,31 -Alive,No,20 -Alive,No,61 -Dead,Yes,66 -Alive,No,53 -Alive,Yes,36 -Dead,No,71 -Dead,Yes,64 -Alive,No,52 -Alive,No,37 -Alive,Yes,34 -Alive,No,61 -Alive,Yes,46 -Alive,Yes,26 -Alive,No,33 -Alive,No,32 -Alive,Yes,47 -Alive,No,27 -Alive,No,25 -Dead,No,69 -Dead,Yes,43 -Dead,Yes,71 -Alive,No,33 -Dead,No,73 -Dead,No,68 -Alive,No,31 -Alive,No,35 -Dead,No,73 -Dead,Yes,59 -Alive,No,31 -Dead,No,77 -Alive,Yes,33 -Alive,Yes,48 -Alive,Yes,34 -Alive,No,43 -Dead,No,68 -Alive,Yes,29 -Dead,No,71 -Dead,Yes,21 -Alive,No,18 -Alive,No,24 -Alive,Yes,30 -Alive,No,24 -Dead,No,74 -Alive,Yes,57 -Alive,No,23 -Alive,No,42 -Alive,No,34 -Alive,Yes,46 -Alive,No,40 -Alive,Yes,64 -Dead,Yes,20 -Alive,Yes,30 -Dead,Yes,81 -Dead,Yes,45 -Alive,No,26 -Dead,No,77 -Alive,Yes,53 -Alive,Yes,46 -Dead,No,69 -Alive,Yes,44 -Dead,Yes,50 -Alive,Yes,50 -Dead,No,62 -Dead,Yes,60 -Alive,No,19 -Alive,Yes,21 -Alive,Yes,50 -Alive,Yes,33 -Dead,No,59 -Dead,No,81 -Alive,Yes,31 -Dead,No,77 -Alive,Yes,23 -Alive,No,55 -Alive,No,51 -Alive,No,26 -Alive,No,20 -Alive,No,57 -Dead,No,67 -Alive,No,29 -Alive,Yes,28 -Alive,Yes,26 -Dead,No,76 -Alive,No,32 -Dead,Yes,40 -Alive,No,40 -Alive,No,52 -Dead,No,35 -Alive,Yes,27 -Alive,Yes,33 -Alive,Yes,20 -Alive,Yes,31 -Alive,No,28 -Alive,No,22 -Dead,Yes,73 -Alive,No,23 -Alive,Yes,24 -Alive,No,48 -Alive,No,60 -Alive,Yes,50 -Alive,Yes,37 -Alive,Yes,29 -Alive,No,35 -Dead,No,67 -Alive,No,33 -Alive,Yes,36 -Dead,No,64 -Alive,Yes,59 -Alive,No,23 -Alive,Yes,63 -Alive,No,26 -Dead,No,50 -Dead,No,36 -Dead,Yes,51 -Alive,No,25 -Alive,No,48 -Alive,No,24 -Dead,Yes,42 -Alive,No,64 -Alive,No,36 -Alive,Yes,47 -Alive,No,64 -Alive,No,22 -Alive,No,31 -Alive,No,55 -Dead,Yes,78 -Alive,No,27 -Alive,No,63 -Dead,Yes,83 -Alive,No,55 -Alive,Yes,57 -Alive,Yes,31 -Dead,No,64 -Alive,Yes,25 -Alive,No,38 -Dead,No,68 -Alive,No,59 -Alive,Yes,63 -Alive,Yes,18 -Alive,Yes,44 -Alive,No,38 -Dead,Yes,72 -Alive,Yes,28 -Alive,Yes,37 -Dead,No,51 -Dead,Yes,53 -Alive,Yes,31 -Dead,No,69 -Alive,Yes,51 -Alive,Yes,36 -Alive,No,27 -Alive,Yes,24 -Alive,Yes,64 -Alive,No,64 -Alive,Yes,64 -Dead,No,64 -Alive,Yes,46 -Alive,Yes,67 -Alive,Yes,40 -Alive,Yes,49 -Alive,Yes,25 -Alive,Yes,36 -Dead,No,82 -Alive,Yes,56 -Dead,Yes,56 -Alive,No,37 -Dead,Yes,59 -Alive,Yes,42 -Alive,No,44 -Alive,Yes,18 -Alive,Yes,44 -Alive,No,32 -Alive,Yes,38 -Alive,Yes,32 -Alive,Yes,29 -Alive,No,51 -Alive,Yes,34 -Alive,Yes,32 -Alive,No,23 -Alive,Yes,48 -Alive,Yes,24 -Alive,Yes,21 -Alive,No,54 -Dead,No,68 -Alive,Yes,26 -Alive,No,51 -Alive,Yes,45 -Alive,No,31 -Alive,Yes,43 -Alive,Yes,30 -Dead,No,72 -Alive,No,19 -Alive,No,31 -Dead,No,70 -Alive,No,58 -Alive,No,27 -Alive,No,56 -Dead,Yes,46 -Dead,No,75 -Alive,No,35 -Alive,No,30 -Dead,No,47 -Alive,No,63 -Alive,No,66 -Alive,Yes,41 -Dead,Yes,82 -Alive,Yes,39 -Alive,Yes,33 -Dead,Yes,60 -Dead,No,73 -Alive,Yes,26 -Alive,No,21 -Alive,Yes,39 -Dead,Yes,51 -Alive,No,28 -Alive,Yes,54 -Alive,No,51 -Dead,No,69 -Alive,Yes,63 -Alive,Yes,47 -Alive,No,38 -Dead,Yes,61 -Alive,Yes,31 -Alive,Yes,62 -Alive,No,62 -Alive,Yes,21 -Alive,Yes,32 -Alive,No,38 -Dead,No,67 -Alive,No,59 -Dead,No,71 -Alive,No,35 -Alive,Yes,28 -Alive,Yes,31 -Dead,Yes,58 -Alive,Yes,53 -Alive,No,48 -Alive,No,27 -Alive,No,30 -Dead,Yes,50 -Dead,Yes,43 -Alive,No,41 -Alive,No,37 -Alive,No,31 -Alive,No,30 -Alive,Yes,52 -Alive,Yes,37 -Alive,No,45 -Alive,Yes,36 -Alive,Yes,34 -Alive,Yes,39 -Alive,No,30 -Dead,Yes,57 -Alive,No,40 -Dead,Yes,62 -Alive,Yes,62 -Alive,Yes,60 -Alive,No,56 -Alive,No,45 -Alive,No,22 -Alive,No,27 -Alive,Yes,18 -Alive,Yes,26 -Dead,No,77 -Alive,No,33 -Alive,No,35 -Alive,No,33 -Dead,No,55 -Alive,No,45 -Alive,No,32 -Alive,No,34 -Alive,No,67 -Alive,No,35 -Dead,Yes,72 -Dead,No,79 -Alive,Yes,35 -Alive,No,38 -Alive,Yes,25 -Alive,Yes,37 -Alive,No,56 -Dead,No,66 -Dead,No,49 -Alive,Yes,33 -Dead,No,59 -Alive,No,44 -Alive,No,39 -Dead,No,58 -Alive,No,64 -Alive,No,18 -Alive,Yes,45 -Alive,No,33 -Alive,No,32 -Dead,No,80 -Alive,Yes,44 -Alive,Yes,25 -Alive,No,68 -Alive,Yes,34 -Alive,Yes,29 -Dead,Yes,72 -Alive,Yes,32 -Alive,Yes,56 -Alive,Yes,43 -Dead,Yes,60 -Alive,Yes,53 -Alive,Yes,41 -Alive,Yes,63 -Dead,Yes,57 -Alive,No,24 -Alive,Yes,39 -Alive,Yes,39 -Alive,No,31 -Alive,Yes,45 -Alive,No,66 -Alive,No,18 -Dead,No,72 -Alive,No,49 -Alive,No,37 -Dead,No,68 -Dead,Yes,69 -Alive,No,27 -Alive,Yes,20 -Alive,No,52 -Alive,Yes,62 -Alive,Yes,64 -Alive,Yes,42 -Alive,No,66 -Dead,No,78 -Alive,No,33 -Alive,No,31 -Alive,Yes,49 -Alive,No,58 -Alive,Yes,23 -Alive,Yes,41 -Alive,Yes,34 -Alive,Yes,30 -Alive,Yes,24 -Alive,Yes,31 -Alive,Yes,64 -Dead,Yes,81 -Dead,No,79 -Alive,No,54 -Alive,Yes,47 -Alive,Yes,25 -Dead,Yes,68 -Alive,Yes,23 -Alive,No,74 -Alive,Yes,25 -Alive,Yes,54 -Dead,No,78 -Dead,No,65 -Alive,Yes,39 -Dead,No,73 -Alive,No,27 -Alive,Yes,62 -Alive,Yes,26 -Dead,Yes,57 -Alive,No,41 -Alive,No,41 -Dead,Yes,66 -Dead,Yes,48 -Dead,Yes,68 -Alive,Yes,43 -Alive,No,28 -Alive,Yes,58 -Dead,Yes,56 -Dead,Yes,40 -Dead,No,69 -Alive,Yes,47 -Alive,Yes,52 -Alive,Yes,52 -Dead,No,80 -Alive,Yes,64 -Alive,No,39 -Alive,Yes,54 -Alive,No,55 -Alive,No,51 -Alive,Yes,28 -Dead,No,77 -Alive,Yes,27 -Dead,No,82 -Dead,No,65 -Dead,No,80 -Alive,No,46 -Alive,Yes,38 -Alive,Yes,28 -Dead,No,49 -Alive,Yes,44 -Alive,No,30 -Alive,No,63 -Alive,No,63 -Dead,Yes,68 -Alive,Yes,46 -Alive,No,52 -Alive,No,52 -Alive,No,55 -Alive,No,74 -Alive,Yes,44 -Alive,No,51 -Alive,Yes,35 -Alive,Yes,36 -Alive,Yes,33 -Alive,No,26 -Alive,No,21 -Alive,No,18 -Alive,No,30 -Dead,No,81 -Alive,Yes,63 -Dead,Yes,42 -Alive,No,35 -Alive,Yes,38 -Alive,No,28 -Alive,Yes,62 -Alive,No,39 -Alive,No,39 -Alive,No,61 -Alive,Yes,19 -Alive,Yes,46 -Dead,Yes,70 -Alive,Yes,38 -Alive,No,33 -Alive,Yes,53 -Alive,No,19 -Dead,No,82 -Alive,Yes,49 -Alive,Yes,47 -Dead,No,78 -Alive,Yes,22 -Alive,Yes,31 -Alive,No,31 -Alive,No,57 -Alive,No,65 -Dead,No,68 -Alive,Yes,22 -Alive,Yes,27 -Alive,Yes,50 -Dead,Yes,53 -Alive,No,34 -Alive,Yes,37 -Alive,No,35 -Alive,No,38 -Dead,No,43 -Alive,Yes,34 -Alive,No,64 -Alive,No,43 -Dead,Yes,57 -Alive,Yes,55 -Alive,Yes,34 -Alive,No,29 -Alive,No,18 -Dead,No,38 -Alive,Yes,40 -Alive,No,44 -Dead,No,71 -Dead,Yes,61 -Alive,Yes,26 -Dead,No,35 -Alive,No,26 -Alive,No,39 -Alive,Yes,43 -Alive,Yes,44 -Alive,No,38 -Alive,No,37 -Dead,Yes,52 -Alive,No,56 -Dead,No,70 -Alive,Yes,39 -Dead,Yes,57 -Alive,Yes,46 -Alive,Yes,28 -Alive,No,21 -Dead,Yes,66 -Alive,Yes,38 -Alive,Yes,32 -Alive,Yes,23 -Alive,No,61 -Alive,Yes,32 -Alive,No,27 -Dead,Yes,73 -Alive,Yes,36 -Alive,No,33 -Alive,No,28 -Alive,No,43 -Alive,Yes,56 -Alive,No,27 -Alive,No,36 -Alive,No,20 -Dead,No,69 -Alive,No,44 -Alive,Yes,26 -Dead,Yes,31 -Dead,No,72 -Dead,No,84 -Alive,Yes,48 -Alive,No,18 -Dead,Yes,82 -Alive,Yes,51 -Alive,Yes,33 -Alive,No,56 -Alive,No,74 -Alive,No,24 -Dead,No,74 -Alive,No,28 -Alive,Yes,58 -Alive,Yes,49 -Dead,Yes,64 -Alive,No,34 -Dead,No,84 -Dead,Yes,47 -Alive,Yes,58 -Dead,Yes,63 -Dead,No,57 -Alive,Yes,18 -Alive,No,23 -Alive,No,51 -Alive,No,55 -Alive,No,49 -Dead,No,60 -Alive,No,39 -Alive,No,48 -Alive,No,28 -Dead,No,74 -Alive,Yes,61 -Alive,Yes,33 -Dead,No,64 -Dead,No,77 -Alive,Yes,51 -Alive,Yes,23 -Dead,No,43 -Alive,No,47 -Alive,No,27 -Alive,No,48 -Alive,Yes,29 -Alive,No,45 -Alive,Yes,31 -Dead,Yes,60 -Alive,No,53 -Alive,No,26 -Dead,Yes,61 -Alive,No,38 -Alive,No,22 -Alive,Yes,41 -Alive,Yes,27 -Alive,No,63 -Dead,Yes,60 -Dead,No,64 -Alive,No,58 -Alive,No,42 -Dead,No,82 -Dead,No,62 -Alive,No,64 -Alive,No,34 -Alive,No,58 -Alive,Yes,63 -Dead,No,63 -Dead,No,79 -Alive,No,44 -Alive,No,41 -Alive,No,34 -Alive,Yes,38 -Alive,Yes,54 -Alive,No,53 -Dead,No,80 -Dead,Yes,46 -Alive,Yes,61 -Dead,No,72 -Alive,Yes,61 -Alive,Yes,28 -Alive,Yes,20 -Dead,Yes,46 -Dead,No,56 -Dead,No,84 -Dead,Yes,64 -Dead,No,42 -Alive,No,30 -Alive,No,48 -Alive,Yes,25 -Dead,No,76 -Dead,Yes,61 -Alive,No,41 -Alive,No,29 -Dead,No,80 -Alive,Yes,56 -Alive,Yes,58 -Dead,No,73 -Alive,No,18 -Alive,No,42 -Dead,No,67 -Alive,No,30 -Dead,No,78 -Dead,Yes,36 -Dead,No,78 -Alive,No,44 -Alive,No,35 -Alive,Yes,53 -Dead,No,52 -Alive,Yes,63 -Dead,No,79 -Alive,No,51 -Alive,No,59 -Alive,No,62 -Alive,No,35 -Alive,No,32 -Alive,Yes,48 -Dead,Yes,53 -Dead,Yes,49 -Alive,Yes,23 -Alive,Yes,50 -Alive,No,26 -Dead,Yes,44 -Dead,Yes,71 -Dead,No,78 -Alive,No,40 -Alive,No,71 -Alive,Yes,62 -Alive,No,30 -Alive,No,32 -Dead,No,71 -Alive,No,70 -Alive,No,27 -Dead,Yes,60 -Dead,No,65 -Dead,No,72 -Alive,No,22 -Alive,Yes,26 -Alive,No,26 -Alive,Yes,30 -Alive,Yes,21 -Alive,Yes,28 -Alive,No,60 -Alive,No,53 -Alive,Yes,59 -Dead,Yes,63 -Alive,Yes,36 -Alive,No,34 -Alive,Yes,61 -Dead,No,65 -Dead,Yes,59 -Dead,No,70 -Dead,Yes,48 -Alive,Yes,50 -Dead,No,83 -Alive,No,51 -Alive,Yes,24 -Alive,No,46 -Alive,No,19 -Alive,Yes,36 -Alive,No,33 -Dead,No,56 -Alive,No,57 -Alive,No,44 -Alive,No,53 -Alive,Yes,30 -Alive,No,42 -Alive,Yes,42 -Alive,Yes,58 -Alive,No,32 -Alive,No,30 -Dead,No,73 -Alive,No,34 -Dead,Yes,76 -Alive,Yes,51 -Dead,No,71 -Dead,No,60 -Alive,No,36 -Alive,Yes,18 -Alive,No,34 -Dead,No,70 -Alive,Yes,50 -Alive,Yes,41 -Alive,No,55 -Alive,No,36 -Dead,Yes,66 -Alive,No,58 -Alive,Yes,31 -Alive,No,36 -Dead,No,68 -Alive,No,24 -Alive,No,25 -Alive,Yes,42 -Alive,No,31 -Alive,Yes,18 -Alive,Yes,27 -Alive,No,20 -Alive,No,40 -Alive,Yes,57 -Alive,No,73 -Alive,No,44 -Alive,No,63 -Alive,No,19 -Dead,Yes,49 -Alive,No,59 -Alive,Yes,23 -Alive,Yes,53 -Alive,Yes,51 -Alive,Yes,22 -Alive,No,24 -Alive,Yes,51 -Alive,Yes,26 -Dead,No,68 -Dead,No,56 -Alive,No,47 -Alive,Yes,36 -Alive,Yes,46 -Alive,No,26 -Alive,Yes,74 -Alive,No,26 -Alive,Yes,52 -Alive,No,57 -Alive,Yes,34 -Alive,No,60 -Alive,Yes,32 -Alive,Yes,41 -Dead,No,82 -Alive,Yes,31 -Alive,No,68 -Alive,No,25 -Dead,No,84 -Alive,No,37 -Alive,No,37 -Dead,No,83 -Alive,No,62 -Alive,No,25 -Alive,Yes,55 -Alive,No,23 -Alive,Yes,52 -Alive,Yes,33 -Alive,Yes,53 -Alive,No,55 -Alive,Yes,45 -Alive,Yes,19 -Alive,Yes,53 -Alive,No,18 -Alive,Yes,32 -Alive,No,32 -Dead,No,67 -Dead,Yes,60 -Alive,Yes,35 -Alive,Yes,60 -Alive,Yes,56 -Alive,No,28 -Dead,No,61 -Alive,Yes,46 -Alive,No,22 -Dead,No,55 -Dead,No,66 -Dead,Yes,71 -Dead,No,68 -Alive,No,50 -Alive,Yes,32 -Alive,No,24 -Alive,No,38 -Alive,No,64 -Dead,Yes,51 -Alive,Yes,29 -Dead,No,77 -Alive,No,25 -Alive,No,50 -Alive,No,61 -Alive,Yes,23 -Dead,No,67 -Dead,No,73 -Alive,No,23 -Alive,Yes,59 -Dead,No,61 -Alive,Yes,43 -Alive,No,25 -Alive,No,39 -Alive,No,45 -Alive,No,25 -Alive,Yes,52 -Dead,No,46 -Alive,No,25 -Alive,No,30 -Alive,Yes,62 -Alive,No,58 -Alive,Yes,25 -Alive,No,31 -Dead,No,46 -Dead,Yes,27 -Dead,No,68 -Alive,Yes,35 -Alive,No,25 -Alive,Yes,42 -Dead,No,72 -Alive,Yes,55 -Alive,No,29 -Alive,Yes,29 -Alive,Yes,36 -Dead,No,51 -Dead,No,80 -Dead,No,74 -Alive,No,20 -Dead,No,45 -Alive,No,46 -Alive,Yes,43 -Alive,No,66 -Dead,Yes,45 -Alive,Yes,71 -Alive,No,43 -Alive,Yes,27 -Alive,No,22 -Alive,Yes,41 -Alive,No,60 -Alive,Yes,46 -Alive,No,29 -Dead,Yes,55 -Alive,Yes,36 -Dead,No,84 -Alive,No,67 -Dead,No,45 -Alive,No,34 -Dead,No,65 -Alive,Yes,32 -Dead,No,71 -Alive,No,26 -Alive,Yes,26 -Dead,No,72 -Alive,No,45 -Alive,No,27 -Alive,Yes,36 -Alive,No,34 -Dead,No,78 -Alive,Yes,20 -Alive,Yes,46 -Alive,No,27 -Alive,No,74 -Alive,Yes,46 -Alive,Yes,31 -Alive,Yes,46 -Alive,No,58 -Dead,No,72 -Dead,Yes,56 -Alive,No,45 -Alive,No,60 -Dead,No,65 -Dead,No,71 -Dead,No,76 -Alive,No,55 -Alive,No,35 -Alive,Yes,44 -Dead,Yes,47 -Dead,Yes,63 -Alive,Yes,32 -Alive,No,43 -Alive,Yes,35 -Dead,Yes,63 -Alive,No,29 -Alive,No,51 -Alive,Yes,42 -Dead,Yes,45 -Alive,Yes,19 -Dead,No,69 -Alive,Yes,39 -Dead,Yes,61 -Alive,Yes,19 -Alive,No,53 -Alive,Yes,61 -Alive,No,40 -Alive,No,37 -Alive,No,37 -Dead,No,65 -Alive,No,74 -Alive,Yes,50 -Alive,Yes,25 -Alive,No,32 -Alive,No,28 -Alive,No,71 -Dead,No,27 -Alive,No,23 -Alive,Yes,64 -Alive,No,28 -Dead,No,56 -Alive,No,25 -Dead,Yes,61 -Alive,No,63 -Alive,No,24 -Alive,No,64 -Dead,No,58 -Alive,No,34 -Alive,No,31 -Alive,Yes,33 -Alive,Yes,48 -Alive,Yes,55 -Alive,No,72 -Alive,No,43 -Alive,Yes,20 -Alive,Yes,62 -Alive,No,18 -Alive,Yes,21 -Alive,No,38 -Alive,Yes,45 -Dead,Yes,81 -Alive,Yes,66 -Alive,No,33 -Alive,Yes,32 -Alive,No,29 -Alive,Yes,53 -Alive,No,21 -Alive,No,61 -Alive,No,24 -Dead,No,54 -Alive,Yes,46 -Alive,No,58 -Dead,No,65 -Dead,No,82 -Alive,No,53 -Dead,No,33 -Alive,Yes,49 -Alive,No,42 -Alive,Yes,43 -Alive,Yes,20 -Dead,No,56 -Dead,No,82 -Dead,No,72 -Alive,No,20 -Dead,No,82 -Alive,No,62 -Alive,Yes,54 -Alive,No,54 -Dead,Yes,82 -Alive,Yes,47 -Alive,Yes,18 -Dead,No,72 -Alive,Yes,35 -Dead,No,69 -Alive,No,52 -Dead,No,59 -Dead,Yes,52 -Alive,Yes,29 -Alive,No,21 -Alive,No,28 -Alive,Yes,25 -Alive,Yes,25 -Alive,Yes,58 -Alive,Yes,43 -Alive,No,62 -Dead,No,67 -Alive,Yes,48 -Alive,Yes,54 -Alive,Yes,42 -Alive,No,66 -Alive,Yes,23 -Alive,Yes,67 -Alive,No,47 -Alive,No,28 -Alive,No,38 -Alive,No,64 -Dead,No,57 -Alive,No,56 -Alive,No,34 -Alive,Yes,50 -Alive,No,58 -Alive,No,32 -Dead,No,77 -Alive,Yes,23 -Alive,Yes,36 -Dead,No,18 -Alive,No,47 -Dead,No,70 -Dead,Yes,60 -Dead,No,71 -Dead,Yes,56 -Alive,Yes,32 -Alive,No,28 -Alive,No,51 -Alive,No,37 -Alive,No,30 -Dead,No,77 -Dead,No,70 -Alive,No,41 -Alive,No,32 -Alive,Yes,48 -Alive,No,53 -Dead,Yes,65 -Dead,No,66 -Dead,Yes,59 -Dead,No,60 -Dead,Yes,58 -Alive,No,64 -Alive,Yes,61 -Dead,No,62 -Alive,No,58 -Alive,No,37 -Dead,Yes,53 -Alive,No,65 -Alive,No,27 -Dead,No,72 -Dead,Yes,60 -Alive,Yes,45 -Alive,Yes,63 -Alive,No,32 -Alive,No,18 -Alive,Yes,49 -Alive,No,34 -Alive,No,23 -Alive,No,61 -Alive,No,44 -Alive,No,66 -Alive,No,28 -Alive,Yes,44 -Alive,Yes,29 -Alive,Yes,38 -Alive,Yes,52 -Alive,Yes,54 -Alive,Yes,63 -Dead,Yes,45 -Dead,No,74 -Alive,No,24 -Alive,No,40 -Alive,No,28 -Alive,Yes,30 -Alive,Yes,43 -Dead,Yes,63 -Alive,Yes,33 -Alive,Yes,41 -Alive,No,60 -Alive,Yes,31 -Alive,Yes,47 -Dead,No,81 -Dead,No,78 -Alive,No,56 -Dead,No,73 -Alive,No,56 -Alive,Yes,28 -Alive,Yes,22 -Alive,No,34 -Alive,No,48 -Alive,No,27 -Alive,Yes,47 -Alive,No,31 -Alive,No,47 -Dead,No,60 -Dead,No,59 -Dead,No,80 -Alive,Yes,41 -Dead,Yes,46 -Alive,Yes,50 -Alive,No,48 -Alive,No,37 -Alive,Yes,50 -Alive,Yes,25 -Alive,No,25 -Alive,No,41 -Alive,No,24 -Alive,Yes,57 -Dead,No,71 -Alive,Yes,26 -Dead,No,32 -Alive,No,25 -Dead,No,84 -Alive,Yes,19 -Alive,No,26 -Alive,Yes,58 -Dead,Yes,67 -Alive,No,24 -Dead,Yes,74 -Alive,Yes,58 -Alive,No,57 -Alive,Yes,52 -Alive,Yes,42 -Alive,No,42 -Dead,No,69 -Dead,Yes,39 -Dead,Yes,84 -Alive,Yes,57 -Alive,No,42 -Alive,No,35 -Alive,No,23 -Alive,No,65 -Alive,Yes,28 -Alive,No,39 -Alive,Yes,36 -Alive,No,40 -Alive,No,39 -Alive,No,19 -Alive,No,61 -Alive,Yes,37 -Alive,Yes,52 -Alive,Yes,62 -Alive,No,30 -Alive,Yes,23 -Dead,Yes,72 -Alive,Yes,46 -Alive,No,33 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+Dead,No,72 +Alive,No,59 +Dead,No,78 +Alive,No,41 +Alive,No,21 +Alive,No,31 +Dead,No,83 +Alive,No,62 +Dead,No,76 +Dead,Yes,63 +Alive,No,44 +Dead,No,65 +Alive,No,33 +Alive,Yes,40 +Alive,No,50 +Dead,No,74 +Alive,No,19 +Alive,No,50 +Dead,Yes,62 +Alive,Yes,25 +Dead,Yes,66 +Alive,No,67 +Alive,Yes,18 +Alive,Yes,28 +Alive,Yes,49 +Alive,Yes,39 +Alive,Yes,33 +Alive,No,44 +Alive,No,48 +Alive,Yes,37 +Dead,Yes,71 +Dead,No,66 +Alive,Yes,34 +Dead,Yes,77 +Alive,No,48 +Alive,Yes,60 +Alive,No,41 +Alive,No,55 +Alive,Yes,46 +Alive,No,55 +Alive,No,20 +Dead,Yes,80 +Alive,Yes,57 +Alive,No,52 +Alive,Yes,48 +Alive,No,30 +Alive,Yes,57 +Alive,Yes,37 +Alive,No,27 +Alive,No,37 +Alive,No,36 +Alive,No,23 +Dead,No,55 +Alive,No,40 +Alive,No,33 +Alive,No,23 +Alive,Yes,35 +Alive,No,33 +Alive,Yes,21 +Alive,No,46 +Alive,Yes,41 From 5c6f824bf3f36d9da365b0c3683eedfe9821ea3e Mon Sep 17 00:00:00 2001 From: Linagyu Min Date: Tue, 16 Oct 2018 22:04:43 +0800 Subject: [PATCH 4/5] hypothesis_testing_and_p_value_Minux --- TEW_06_hypothesis_testing_p_value_CI.py | 55 +++++++++++++++++++++++++ 1 file changed, 55 insertions(+) create mode 100644 TEW_06_hypothesis_testing_p_value_CI.py diff --git a/TEW_06_hypothesis_testing_p_value_CI.py b/TEW_06_hypothesis_testing_p_value_CI.py new file mode 100644 index 0000000..6c49781 --- /dev/null +++ b/TEW_06_hypothesis_testing_p_value_CI.py @@ -0,0 +1,55 @@ +#coding:utf-8 +""" +------------------------------------------------ +@File Name : TEW_06_hypothesis_testing_p_value_CI +@Function : +@Author : Minux +@Date : 2018/10/16 +@Revised Date : 2018/10/16 +------------------------------------------------ +""" +import math +import io +import numpy as np +import pandas as pd + +import matplotlib.pyplot as plt + +import scipy.stats +import scipy.optimize +import scipy.spatial + +cholera = pd.read_csv('cholera.csv') # 霍乱数据 +pumps = pd.read_csv('pumps.csv') # 水泵数据 + +def Plot_Cholera_func(): + fig = plt.figure(figsize=(10, 10)) + img = plt.imread('london.png') + plt.imshow(img, extent=[-0.38, 0.38, -0.38, 0.38]) + plt.scatter(pumps.x, pumps.y, color='b') + plt.scatter(cholera.x, cholera.y, color='r', s=3) + plt.show() + +def Data_stat_info(): + print(cholera.closest.value_counts()) + print('-'*10,'GroupBy_Closest','-'*10) + print(cholera.groupby('closest').deaths.sum()) + +def simulate(n): + return pd.DataFrame({'closest':np.random.choice([0,1,4,5], size=n, p=[0.65, 0.15, 0.10, 0.10])}) + +def sampling_function(): + sampling = pd.DataFrame({'counts':[simulate(489).closest.value_counts()[0] for _ in range(10000)]}) + # sampling.counts.hist(histtype='step') + # plt.show() + # 计算p-value + # the smaller p-value the more strongly we can reject the null hypothesis + p_value = 100.0 - scipy.stats.percentileofscore(sampling.counts, score=340) + print(p_value) + + +if __name__ == '__main__': + sampling_function() + + + From 32ad0ba9a8b59de376c5c2ba897df8cfb48362fd Mon Sep 17 00:00:00 2001 From: Linagyu Min Date: Tue, 23 Oct 2018 15:37:03 +0800 Subject: [PATCH 5/5] ANOVA --- TEW_07_Anova_Fitting_Models.py | 100 +++++++++++++++++++++++++++++++++ 1 file changed, 100 insertions(+) create mode 100644 TEW_07_Anova_Fitting_Models.py diff --git a/TEW_07_Anova_Fitting_Models.py b/TEW_07_Anova_Fitting_Models.py new file mode 100644 index 0000000..5d8e96b --- /dev/null +++ b/TEW_07_Anova_Fitting_Models.py @@ -0,0 +1,100 @@ +#coding:utf-8 +""" +------------------------------------------------ +@File Name : TEW_07_Anova_Fitting_Models +@Function : +@Author : Minux +@Date : 2018/10/23 +@Revised Date : 2018/10/23 +------------------------------------------------ +""" +import math +import numpy +import pandas as pd +import matplotlib.pyplot as plt +import statsmodels.api as sm +import statsmodels.formula.api as smf +import numpy as np + +gap_minder = pd.read_csv('gapminder.csv') +g_data = gap_minder.query('year==1985') + +size = g_data.population * 1e-6 +colors = g_data.region.map({'Africa':'skyblue','Europe':'gold','America':'palegreen','Asia':'red'}) + +def plot_data(): + g_data.plot.scatter('age5_surviving','babies_per_woman',c=colors, s=size, linewidths=0.5, edgecolor='k', alpha=0.5) + +model = smf.ols(formula='babies_per_woman ~ 1', data=g_data) +grand_mean = model.fit() + +def plot_fit(fit_model): + plot_data() + plt.scatter(g_data.age5_surviving, fit_model.predict(g_data), c=colors, s=30, linewidths=0.5, + edgecolors='k', marker='D') + plt.show() + +# plot_fit(grand_mean) +print(np.char.center('mean', 30, '-')) +'''mean''' +print(grand_mean.params) +print(g_data.babies_per_woman.mean()) + +print(np.char.center('group mean', 30, '-')) + +'''group means''' +group_means = smf.ols(formula='babies_per_woman ~ -1+region', data=g_data).fit() +# plot_fit(group_means) + +print(group_means.params) +print(g_data.groupby('region').babies_per_woman.mean()) + +print(np.char.center('surviving', 30, '-')) +surviving = smf.ols(formula='babies_per_woman ~ -1 + region + age5_surviving', data=g_data).fit() +# plot_fit(surviving) + +'''add intersection term''' +surviving_by_region_population = smf.ols(formula='babies_per_woman ~ -1+region+age5_surviving:region' + '-age5_surviving + population', data=g_data).fit() +# plot_fit(surviving_by_region) +print(surviving_by_region_population.params) + +''' +Measure of Godness of Fit +Mean Squared Error of Residuals +R^2 = (Explained Variance)/(Total Variance) +F-statistics : explanatory power of fit parameters compared to random fit vectors +''' +print(np.char.center('Statistics_Indicator',30,'-')) +def statistics_indicator(*args): + for arg in args: + print(np.char.center(arg,30,'-')) + if arg is 'resid': + for model in [group_means, surviving, surviving_by_region_population]: + print(model.mse_resid) + elif arg is 'rsquared': + for model in [group_means, surviving, surviving_by_region_population]: + print(model.rsquared) + elif arg is 'f_value': + for model in [group_means, surviving, surviving_by_region_population]: + print(model.fvalue) + else: + continue + +statistics_indicator('resid','rsquared','f_value','xx') + +print(surviving.summary()) + +print(sm.stats.anova_lm(group_means)) + + + + + + + + + + + +