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@quantgirluk
Last active December 30, 2018 14:06
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Comparison of Two Populations\n",
"\n",
"Saturday 29 December 2018\n",
"@Quant_Girl"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The aim of this notebook is exploring several visual tools for comparing two univariate samples. In order to illustrate each tool, we will generate three samples:\n",
"\n",
"1. $\\mathbf{x} = (x_1, \\cdots, x_n)$ from a standard normal distribution\n",
"2. $\\mathbf{y} = (y_1, \\cdots, y_n)$ from a standard normal distribution\n",
"3. $\\mathbf{t} = (t_1, \\cdots, t_n)$ from a t-distribution wiht 2 degrees of freedom.\n",
"\n",
"Then we will use each visual tool to compare:\n",
"\n",
"* Two samples coming from the same distribution, i.e. (1) and (2)\n",
"* Two samples coming from different distributions, i.e. (1) and (3)\n",
"\n",
"\n",
"Of course there exists a formal tools (we will see two at the end of this notebook) for testing if two samples come from the same distribution. However, it is often helpful to visualise possible discrepancies between the samples."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"# Import Packages \n",
"import sys\n",
"import matplotlib.pyplot as plt\n",
"import pandas as pd\n",
"import numpy as np\n",
"import scipy.stats as stats\n",
"import random\n",
"from sklearn import metrics\n",
"import warnings\n",
"warnings.filterwarnings(\"ignore\", category=FutureWarning)\n",
"import seaborn as sns\n",
"sns.set()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"plt.rcParams['figure.figsize'] = [14, 7]"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# Generating our samples\n",
"n = 1000\n",
"np.random.seed(12345)\n",
"mu = 0\n",
"sigma = 1\n",
"x = np.random.normal(mu, sigma, n)\n",
"y = np.random.normal(mu, sigma, n)\n",
"t = np.random.standard_t(2, size=n)\n",
"frame = pd.DataFrame({'X':x, 'Y':y, 'T':t})\n",
"df_equal = pd.DataFrame({'X':x, 'Y':y}).melt(value_vars=['X','Y'])\n",
"df_diff = pd.DataFrame({'X':x, 'T':t}).melt(value_vars=['X','T'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Visual Tools"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 1. Box Plots"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.set(style=\"whitegrid\")\n",
"sns.boxplot(x=\"variable\", y=\"value\", data=df_equal, palette =\"PuRd\")\n",
"plt.ylabel('Value')\n",
"plt.xlabel('Population')\n",
"plt.title('Box Plots - Samples from the Same Distribution', fontsize=16)\n",
"plt.show()\n",
"\n",
"sns.boxplot(x=\"variable\", y=\"value\", data=df_diff, palette =\"PuRd\")\n",
"plt.ylabel('Value')\n",
"plt.xlabel('Population')\n",
"plt.title('Box Plots - Samples from Different Distributions', fontsize=16)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 2. Bee Swarm Plots"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.boxplot(data=df_equal, x='variable', y ='value', palette =\"PuRd\")\n",
"sns.swarmplot(x=\"variable\", y=\"value\", data=df_equal, color='0.25')\n",
"plt.ylabel('Value')\n",
"plt.xlabel('Population')\n",
"plt.title('Bee Swarm Plots - Samples from the Same Distribution', fontsize=16)\n",
"plt.show()\n",
"\n",
"sns.boxplot(data=df_diff, x='variable', y ='value', palette =\"PuRd\")\n",
"sns.swarmplot(data=df_diff, x=\"variable\", y=\"value\", color='0.25')\n",
"plt.ylabel('Value')\n",
"plt.xlabel('Population')\n",
"plt.title('Bee Swarm Plots - Samples from Different Distributions', fontsize=16)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 3. Violin Plots\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.violinplot(data =df_equal, y='value', x='variable', palette =\"PuRd\")\n",
"plt.ylabel('Value')\n",
"plt.xlabel('Population')\n",
"plt.title('Violin Plots - Samples from the Same Distribution', fontsize=16)\n",
"plt.show()\n",
"\n",
"sns.violinplot(data =df_diff, y='value', x='variable', palette =\"PuRd\")\n",
"plt.ylabel('Value')\n",
"plt.xlabel('Population')\n",
"plt.title('Violin Plots - Samples from Different Distributions', fontsize=16)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 4. Histograms"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot( frame[\"X\"] , color=\"pink\", label = \"Population X\", kde =False)\n",
"sns.distplot( frame[\"Y\"] , color=\"purple\", label = \"Population Y\", kde = False)\n",
"plt.ylabel('Frequency')\n",
"plt.xlabel('Value')\n",
"plt.title('Histograms - Samples from the Same Distribution', fontsize = 16)\n",
"plt.legend() \n",
"plt.show()\n",
"\n",
"sns.distplot( frame[\"X\"] , color=\"pink\", label = \"Population X\", kde =False)\n",
"sns.distplot( frame[\"T\"] , color=\"purple\", label = \"Population T\", kde=False)\n",
"plt.ylabel('Frequency')\n",
"plt.xlabel('Value')\n",
"plt.title('Histograms - Samples from Different Distributions', fontsize = 16)\n",
"plt.legend() \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 5. Kernel Density Estimate"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.kdeplot( frame[\"X\"] , color=\"pink\", shade = True, label = \"Population X\")\n",
"sns.kdeplot( frame[\"Y\"] , color=\"purple\", shade = True, label = \"Population Y\")\n",
"plt.xlabel('Value')\n",
"plt.ylabel('Density')\n",
"plt.title('KDE - Samples from the Same Distribution', fontsize = 16)\n",
"plt.legend() \n",
"plt.show()\n",
"\n",
"sns.kdeplot( frame[\"X\"] , color=\"pink\", shade = True, label = \"Population X\")\n",
"sns.kdeplot( frame[\"T\"] , color=\"purple\", shade = True, label = \"Population T\")\n",
"plt.xlabel('Value')\n",
"plt.ylabel('Density')\n",
"plt.title('KDE - Samples from Different Distributions', fontsize = 16)\n",
"plt.legend() \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 5.1 KDE + Rug Plot"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot( frame[\"X\"] , color=\"pink\", label = \"Population X\", hist =False, rug =True)\n",
"sns.distplot( frame[\"Y\"] , color=\"purple\", label = \"Population Y\", hist =False, rug =True)\n",
"plt.xlabel('Value')\n",
"plt.ylabel('Density')\n",
"plt.title('KDE + Rug Plot - Samples from the Same Distribution', fontsize = 16)\n",
"plt.legend() \n",
"plt.show()\n",
"\n",
"sns.distplot( frame[\"X\"] , color=\"pink\", label = \"Population X\", hist =False, rug =True)\n",
"sns.distplot( frame[\"T\"] , color=\"purple\", label = \"Population T\", hist =False, rug =True)\n",
"plt.xlabel('Value')\n",
"plt.ylabel('Density')\n",
"plt.title('KDE + Rug Plot - Samples from Different Distributions', fontsize = 16)\n",
"plt.legend() \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 5.2 KDE + Rug Plot + Histogram"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot( frame[\"X\"] , color=\"pink\", label = \"Population X\", rug =True)\n",
"sns.distplot( frame[\"Y\"] , color=\"purple\", label = \"Population Y\", rug =True)\n",
"plt.xlabel('Value')\n",
"plt.ylabel('Density')\n",
"plt.title('KDE + Rug Plot + Histogram - Samples from the Same Distribution', fontsize = 16)\n",
"plt.legend() \n",
"plt.show()\n",
"\n",
"sns.distplot( frame[\"X\"] , color=\"pink\", label = \"Population X\", rug =True)\n",
"sns.distplot( frame[\"T\"] , color=\"purple\", label = \"Population T\", rug =True)\n",
"plt.ylabel('Value')\n",
"plt.xlabel('Density')\n",
"plt.title('KDE + Rug Plot + Histogram - Samples from Different Distributions', fontsize = 16)\n",
"plt.legend() \n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 6. Empirical ROC"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"def sens_spec(samplex, sampley, vector):\n",
" sensitivity = []\n",
" specificity = []\n",
" for t in vector:\n",
" if sum(samplex >=t)>0:\n",
" sensitivity.append(np.mean(samplex>=t))\n",
" else:\n",
" sensitivity.append(float('nan'))\n",
" if sum(sampley<t)>0:\n",
" specificity.append(np.mean(sampley<t))\n",
" else:\n",
" specificity.append(float('nan'))\n",
" return sensitivity, specificity "
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df_roc = pd.DataFrame({'Value': np.unique(df_equal['value'])})\n",
"df_roc = df_roc.sort_values(by = 'Value')\n",
"df_roc['Sensitivity'] , df_roc['Specificity'] = sens_spec(samplex = x, sampley = y, vector = df_roc['Value'])\n",
"df_roc['1-Specificity'] = 1 - df_roc['Specificity']\n",
"\n",
"df_roc1 = df_roc.dropna()\n",
"auroc = metrics.auc(df_roc1['1-Specificity'] , df_roc1['Sensitivity'])\n",
"\n",
"plt.plot('1-Specificity', 'Sensitivity', data = df_roc, color = 'purple')\n",
"plt.text(0.2, 0.5, \"AUROC = \"+ str(round(auroc, 4)))\n",
"plt.plot([0, 1], [0, 1], color = 'black', linewidth = 2)\n",
"plt.ylabel('Sensitivity')\n",
"plt.xlabel('1-Specificity')\n",
"plt.title('Empirical ROC - Samples from the Same Distribution', fontsize = 16)\n",
"plt.show()\n",
"\n",
"df_roc = pd.DataFrame({'Value': np.unique(df_diff['value'])})\n",
"df_roc = df_roc.sort_values(by = 'Value')\n",
"df_roc['Sensitivity'] , df_roc['Specificity'] = sens_spec(samplex = x, sampley = t, vector = df_roc['Value'])\n",
"df_roc['1-Specificity'] = 1 - df_roc['Specificity']\n",
"\n",
"df_roc1 = df_roc.dropna()\n",
"auroc = metrics.auc(df_roc1['1-Specificity'] , df_roc1['Sensitivity'])\n",
"\n",
"plt.plot('1-Specificity', 'Sensitivity', data = df_roc, color = 'purple')\n",
"plt.text(0.2, 0.5, \"AUROC = \"+ str(round(auroc,4)))\n",
"plt.plot([0, 1], [0, 1], color = 'black', linewidth = 2)\n",
"plt.ylabel('Sensitivity')\n",
"plt.xlabel('1-Specificity')\n",
"plt.title('Empirical ROC - Samples from Different Distributions', fontsize = 16)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 7. Empirical Cumulative Distribution Function "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1008x504 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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