{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Iris Data Experiments\n", "\n", "This notebook runs the experiments and generates the figures on the [Iris data set](https://archive.ics.uci.edu/ml/datasets/iris). " ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import matplotlib.colors as mcolors\n", "import matplotlib.pyplot as plt\n", "import warnings\n", "import itertools as it\n", "\n", "# our code packaged for easy use\n", "import detect_simpsons_paradox as dsp\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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sepal lengthsepal widthpetal lengthpetal widthclass
05.13.51.40.2Iris-setosa
14.93.01.40.2Iris-setosa
24.73.21.30.2Iris-setosa
34.63.11.50.2Iris-setosa
45.03.61.40.2Iris-setosa
\n", "
" ], "text/plain": [ " sepal length sepal width petal length petal width class\n", "0 5.1 3.5 1.4 0.2 Iris-setosa\n", "1 4.9 3.0 1.4 0.2 Iris-setosa\n", "2 4.7 3.2 1.3 0.2 Iris-setosa\n", "3 4.6 3.1 1.5 0.2 Iris-setosa\n", "4 5.0 3.6 1.4 0.2 Iris-setosa" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "iris_df = pd.read_csv('../../../data/iris.csv')\n", "iris_df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From examining the above, we know that the class is the group-by variables and the float type variables are the continuous attributes. First we select the columns accordingly and output the names of the selected columns of each type to verify." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['class']\n" ] } ], "source": [ "groupbyAttrs = iris_df.select_dtypes(include=['object'])\n", "groupbyAttrs_labels = list(groupbyAttrs)\n", "print(groupbyAttrs_labels)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "['sepal length', 'sepal width', 'petal length', 'petal width']\n" ] } ], "source": [ "continuousAttrs = iris_df.select_dtypes(include=['float64'])\n", "continuousAttrs_labels = list(continuousAttrs)\n", "print(continuousAttrs_labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Results\n", "Now we can run our algorithm and print out the results after a little bit of post-processing to improve readability." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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allCorrattr1attr2reverseCorrgroupbyAttrsubgroup
0-0.109369sepal lengthsepal width0.746780classIris-setosa
3-0.109369sepal lengthsepal width0.525911classIris-versicolor
6-0.109369sepal lengthsepal width0.457228classIris-virginica
1-0.420516sepal widthpetal length0.176695classIris-setosa
4-0.420516sepal widthpetal length0.560522classIris-versicolor
7-0.420516sepal widthpetal length0.401045classIris-virginica
2-0.356544sepal widthpetal width0.279973classIris-setosa
5-0.356544sepal widthpetal width0.663999classIris-versicolor
8-0.356544sepal widthpetal width0.537728classIris-virginica
\n", "
" ], "text/plain": [ " allCorr attr1 attr2 reverseCorr groupbyAttr \\\n", "0 -0.109369 sepal length sepal width 0.746780 class \n", "3 -0.109369 sepal length sepal width 0.525911 class \n", "6 -0.109369 sepal length sepal width 0.457228 class \n", "1 -0.420516 sepal width petal length 0.176695 class \n", "4 -0.420516 sepal width petal length 0.560522 class \n", "7 -0.420516 sepal width petal length 0.401045 class \n", "2 -0.356544 sepal width petal width 0.279973 class \n", "5 -0.356544 sepal width petal width 0.663999 class \n", "8 -0.356544 sepal width petal width 0.537728 class \n", "\n", " subgroup \n", "0 Iris-setosa \n", "3 Iris-versicolor \n", "6 Iris-virginica \n", "1 Iris-setosa \n", "4 Iris-versicolor \n", "7 Iris-virginica \n", "2 Iris-setosa \n", "5 Iris-versicolor \n", "8 Iris-virginica " ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# run detection algorithm\n", "result_df = dsp.detect_simpsons_paradox(iris_df)\n", "\n", "# Map attribute index to attribute name\n", "result_df['attr1'] = result_df['attr1'].map(lambda x:continuousAttrs_labels[x])\n", "result_df['attr2'] = result_df['attr2'].map(lambda x:continuousAttrs_labels[x])\n", "# sort for easy reading\n", "result_df = result_df.sort_values(['attr1', 'attr2'], ascending=[1, 1])\n", "\n", "result_df" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting\n", "\n", "We plot all data in scatter plots based on each group by attribute, for each pair of candidate attributes. For each plot we add the overall trendline and the trend line for each occurence of Simpson's Paradox. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plotting with data frame\n", "\n", "Plots in simpler code" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# create a set (to keep only unique) or the attribute pairs that had SP \n", "sns.set_context(\"talk\")\n", "sp_meas = set([(a,b) for a,b in zip(list(result_df['attr1']), result_df['attr2'])])\n", "# for x,y in it.combinations(measurements,2):\n", "for x, y in sp_meas:\n", " sns.lmplot(y,x, data=iris_df, hue='class', ci=None,\n", " markers =['x','o','s'], palette=\"Set1\")\n", " # adda whole data regression line, but don't cover the scatter data\n", " sns.regplot(y,x, data=iris_df, color='black', scatter=False, ci=None)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Experiments on subsampled data\n", "\n", "We run our algorithm on 10%, 30%, 50%, 60%, 90% sampled data set with 5 random repeats and for each couont the number of detections. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "portions = [.1,.3, .5, .6, .9]\n", "num_repeats = 5\n", "\n", "# for sampling\n", "rows = []\n", "iris_df_portion = []\n", "res_df = dsp.detect_simpsons_paradox(iris_df)\n", "res_df['portion'] = 1\n", "res_df['exp'] = 0\n", "\n", "\n", "summary_cols = ['portion', 'exp', 'SPcount']\n", "summary_data = [[1,0,len(res_df)]]\n", "\n", " \n", "for i,cur_portion in enumerate(np.repeat(portions,num_repeats)):\n", " # sample and run detector algorithm\n", " res_tmp = dsp.detect_simpsons_paradox(iris_df.sample(frac=cur_portion))\n", " # append results with info on this trial\n", " res_tmp['portion'] = cur_portion\n", " res_tmp['exp'] = i +1\n", " res_df = res_df.append(res_tmp)\n", " summary_data.append([cur_portion, i, len(res_tmp)])\n", "\n", "# make a dataframe of the summary stats\n", "summary_df = pd.DataFrame(data =summary_data, columns =summary_cols)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can compute descriptive statistics on the occurences summary, using the grouby feature" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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countmeanstdmin25%50%75%max
portion
0.15.06.21.7888544.06.06.06.09.0
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1.01.09.0NaN9.09.09.09.09.0
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" ], "text/plain": [ " count mean std min 25% 50% 75% max\n", "portion \n", "0.1 5.0 6.2 1.788854 4.0 6.0 6.0 6.0 9.0\n", "0.3 5.0 9.0 0.707107 8.0 9.0 9.0 9.0 10.0\n", "0.5 5.0 9.0 0.000000 9.0 9.0 9.0 9.0 9.0\n", "0.6 5.0 8.8 0.447214 8.0 9.0 9.0 9.0 9.0\n", "0.9 5.0 9.0 0.000000 9.0 9.0 9.0 9.0 9.0\n", "1.0 1.0 9.0 NaN 9.0 9.0 9.0 9.0 9.0" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "exp_summary = summary_df.groupby('portion')['SPcount'].describe()\n", "# exp_summary.count()\n", "# summary_df\n", "exp_summary" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.11+" } }, "nbformat": 4, "nbformat_minor": 2 }