{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# statsmodels Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Key ideas:* Principal component analysis, world bank data, fertility\n", "\n", "In this notebook, we use principal components analysis (PCA) to analyze the time series of fertility rates in 192 countries, using data obtained from the World Bank. The main goal is to understand how the trends in fertility over time differ from country to country. This is a slightly atypical illustration of PCA because the data are time series. Methods such as functional PCA have been developed for this setting, but since the fertility data are very smooth, there is no real disadvantage to using standard PCA in this case." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:26.476753Z", "iopub.status.busy": "2021-02-02T06:53:26.465989Z", "iopub.status.idle": "2021-02-02T06:53:28.077960Z", "shell.execute_reply": "2021-02-02T06:53:28.078978Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import statsmodels.api as sm\n", "from statsmodels.multivariate.pca import PCA\n", "\n", "plt.rc(\"figure\", figsize=(16,8))\n", "plt.rc(\"font\", size=14)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data can be obtained from the [World Bank web site](http://data.worldbank.org/indicator/SP.DYN.TFRT.IN), but here we work with a slightly cleaned-up version of the data:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:28.083551Z", "iopub.status.busy": "2021-02-02T06:53:28.082349Z", "iopub.status.idle": "2021-02-02T06:53:28.133672Z", "shell.execute_reply": "2021-02-02T06:53:28.134541Z" } }, "outputs": [ { "data": { "text/html": [ "
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Country NameCountry CodeIndicator NameIndicator Code196019611962196319641965...2004200520062007200820092010201120122013
0ArubaABWFertility rate, total (births per woman)SP.DYN.TFRT.IN4.8204.6554.4714.2714.0593.842...1.7861.7691.7541.7391.7261.7131.7011.690NaNNaN
1AndorraANDFertility rate, total (births per woman)SP.DYN.TFRT.INNaNNaNNaNNaNNaNNaN...NaNNaN1.2401.1801.2501.1901.220NaNNaNNaN
2AfghanistanAFGFertility rate, total (births per woman)SP.DYN.TFRT.IN7.6717.6717.6717.6717.6717.671...7.1366.9306.7026.4566.1965.9285.6595.395NaNNaN
3AngolaAGOFertility rate, total (births per woman)SP.DYN.TFRT.IN7.3167.3547.3857.4107.4257.430...6.7046.6576.5986.5236.4346.3316.2186.099NaNNaN
4AlbaniaALBFertility rate, total (births per woman)SP.DYN.TFRT.IN6.1866.0765.9565.8335.7115.594...2.0041.9191.8491.7961.7611.7441.7411.748NaNNaN
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" ], "text/plain": [ " Country Name Country Code Indicator Name \\\n", "0 Aruba ABW Fertility rate, total (births per woman) \n", "1 Andorra AND Fertility rate, total (births per woman) \n", "2 Afghanistan AFG Fertility rate, total (births per woman) \n", "3 Angola AGO Fertility rate, total (births per woman) \n", "4 Albania ALB Fertility rate, total (births per woman) \n", "\n", " Indicator Code 1960 1961 1962 1963 1964 1965 ... 2004 \\\n", "0 SP.DYN.TFRT.IN 4.820 4.655 4.471 4.271 4.059 3.842 ... 1.786 \n", "1 SP.DYN.TFRT.IN NaN NaN NaN NaN NaN NaN ... NaN \n", "2 SP.DYN.TFRT.IN 7.671 7.671 7.671 7.671 7.671 7.671 ... 7.136 \n", "3 SP.DYN.TFRT.IN 7.316 7.354 7.385 7.410 7.425 7.430 ... 6.704 \n", "4 SP.DYN.TFRT.IN 6.186 6.076 5.956 5.833 5.711 5.594 ... 2.004 \n", "\n", " 2005 2006 2007 2008 2009 2010 2011 2012 2013 \n", "0 1.769 1.754 1.739 1.726 1.713 1.701 1.690 NaN NaN \n", "1 NaN 1.240 1.180 1.250 1.190 1.220 NaN NaN NaN \n", "2 6.930 6.702 6.456 6.196 5.928 5.659 5.395 NaN NaN \n", "3 6.657 6.598 6.523 6.434 6.331 6.218 6.099 NaN NaN \n", "4 1.919 1.849 1.796 1.761 1.744 1.741 1.748 NaN NaN \n", "\n", "[5 rows x 58 columns]" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = sm.datasets.fertility.load_pandas().data\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we construct a DataFrame that contains only the numerical fertility rate data and set the index to the country names. We also drop all the countries with any missing data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:28.138508Z", "iopub.status.busy": "2021-02-02T06:53:28.137317Z", "iopub.status.idle": "2021-02-02T06:53:28.179469Z", "shell.execute_reply": "2021-02-02T06:53:28.180449Z" } }, "outputs": [ { "data": { "text/html": [ "
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1960196119621963196419651966196719681969...2002200320042005200620072008200920102011
Country Name
Aruba4.8204.6554.4714.2714.0593.8423.6253.4173.2263.054...1.8251.8051.7861.7691.7541.7391.7261.7131.7011.690
Afghanistan7.6717.6717.6717.6717.6717.6717.6717.6717.6717.671...7.4847.3217.1366.9306.7026.4566.1965.9285.6595.395
Angola7.3167.3547.3857.4107.4257.4307.4227.4037.3757.339...6.7786.7436.7046.6576.5986.5236.4346.3316.2186.099
Albania6.1866.0765.9565.8335.7115.5945.4835.3765.2685.160...2.1952.0972.0041.9191.8491.7961.7611.7441.7411.748
United Arab Emirates6.9286.9106.8936.8776.8616.8416.8166.7836.7386.679...2.4282.3292.2362.1492.0712.0041.9481.9031.8681.841
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5 rows × 52 columns

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" ], "text/plain": [ " 1960 1961 1962 1963 1964 1965 1966 1967 \\\n", "Country Name \n", "Aruba 4.820 4.655 4.471 4.271 4.059 3.842 3.625 3.417 \n", "Afghanistan 7.671 7.671 7.671 7.671 7.671 7.671 7.671 7.671 \n", "Angola 7.316 7.354 7.385 7.410 7.425 7.430 7.422 7.403 \n", "Albania 6.186 6.076 5.956 5.833 5.711 5.594 5.483 5.376 \n", "United Arab Emirates 6.928 6.910 6.893 6.877 6.861 6.841 6.816 6.783 \n", "\n", " 1968 1969 ... 2002 2003 2004 2005 2006 \\\n", "Country Name ... \n", "Aruba 3.226 3.054 ... 1.825 1.805 1.786 1.769 1.754 \n", "Afghanistan 7.671 7.671 ... 7.484 7.321 7.136 6.930 6.702 \n", "Angola 7.375 7.339 ... 6.778 6.743 6.704 6.657 6.598 \n", "Albania 5.268 5.160 ... 2.195 2.097 2.004 1.919 1.849 \n", "United Arab Emirates 6.738 6.679 ... 2.428 2.329 2.236 2.149 2.071 \n", "\n", " 2007 2008 2009 2010 2011 \n", "Country Name \n", "Aruba 1.739 1.726 1.713 1.701 1.690 \n", "Afghanistan 6.456 6.196 5.928 5.659 5.395 \n", "Angola 6.523 6.434 6.331 6.218 6.099 \n", "Albania 1.796 1.761 1.744 1.741 1.748 \n", "United Arab Emirates 2.004 1.948 1.903 1.868 1.841 \n", "\n", "[5 rows x 52 columns]" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "columns = list(map(str, range(1960, 2012)))\n", "data.set_index('Country Name', inplace=True)\n", "dta = data[columns]\n", "dta = dta.dropna()\n", "dta.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two ways to use PCA to analyze a rectangular matrix: we can treat the rows as the \"objects\" and the columns as the \"variables\", or vice-versa. Here we will treat the fertility measures as \"variables\" used to measure the countries as \"objects\". Thus the goal will be to reduce the yearly fertility rate values to a small number of fertility rate \"profiles\" or \"basis functions\" that capture most of the variation over time in the different countries." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mean trend is removed in PCA, but its worthwhile taking a look at it. It shows that fertility has dropped steadily over the time period covered in this dataset. Note that the mean is calculated using a country as the unit of analysis, ignoring population size. This is also true for the PC analysis conducted below. A more sophisticated analysis might weight the countries, say by population in 1980." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:28.184941Z", "iopub.status.busy": "2021-02-02T06:53:28.183642Z", "iopub.status.idle": "2021-02-02T06:53:28.513415Z", "shell.execute_reply": "2021-02-02T06:53:28.513799Z" } }, "outputs": [ { "data": { "text/plain": [ "(0.0, 51.0)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = dta.mean().plot(grid=False)\n", "ax.set_xlabel(\"Year\", size=17)\n", "ax.set_ylabel(\"Fertility rate\", size=17);\n", "ax.set_xlim(0, 51)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we perform the PCA:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:28.520035Z", "iopub.status.busy": "2021-02-02T06:53:28.518586Z", "iopub.status.idle": "2021-02-02T06:53:28.643354Z", "shell.execute_reply": "2021-02-02T06:53:28.642942Z" } }, "outputs": [], "source": [ "pca_model = PCA(dta.T, standardize=False, demean=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the eigenvalues, we see that the first PC dominates, with perhaps a small amount of meaningful variation captured in the second and third PC's." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:28.647852Z", "iopub.status.busy": "2021-02-02T06:53:28.646122Z", "iopub.status.idle": "2021-02-02T06:53:28.985794Z", "shell.execute_reply": "2021-02-02T06:53:28.987620Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig = pca_model.plot_scree(log_scale=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we will plot the PC factors. The dominant factor is monotonically increasing. Countries with a positive score on the first factor will increase faster (or decrease slower) compared to the mean shown above. Countries with a negative score on the first factor will decrease faster than the mean. The second factor is U-shaped with a positive peak at around 1985. Countries with a large positive score on the second factor will have lower than average fertilities at the beginning and end of the data range, but higher than average fertility in the middle of the range." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:28.993932Z", "iopub.status.busy": "2021-02-02T06:53:28.992096Z", "iopub.status.idle": "2021-02-02T06:53:29.426195Z", "shell.execute_reply": "2021-02-02T06:53:29.427465Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/travis/miniconda/envs/statsmodels-test/lib/python3.7/site-packages/ipykernel_launcher.py:3: UserWarning: FixedFormatter should only be used together with FixedLocator\n", " This is separate from the ipykernel package so we can avoid doing imports until\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 4))\n", "lines = ax.plot(pca_model.factors.iloc[:,:3], lw=4, alpha=.6)\n", "ax.set_xticklabels(dta.columns.values[::10])\n", "ax.set_xlim(0, 51)\n", "ax.set_xlabel(\"Year\", size=17)\n", "fig.subplots_adjust(.1, .1, .85, .9)\n", "legend = fig.legend(lines, ['PC 1', 'PC 2', 'PC 3'], loc='center right')\n", "legend.draw_frame(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To better understand what is going on, we will plot the fertility trajectories for sets of countries with similar PC scores. The following convenience function produces such a plot." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:29.433379Z", "iopub.status.busy": "2021-02-02T06:53:29.431642Z", "iopub.status.idle": "2021-02-02T06:53:29.439505Z", "shell.execute_reply": "2021-02-02T06:53:29.440752Z" } }, "outputs": [], "source": [ "idx = pca_model.loadings.iloc[:,0].argsort()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we plot the five countries with the greatest scores on PC 1. These countries have a higher rate of fertility increase than the global mean (which is decreasing)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:29.446513Z", "iopub.status.busy": "2021-02-02T06:53:29.444724Z", "iopub.status.idle": "2021-02-02T06:53:29.456528Z", "shell.execute_reply": "2021-02-02T06:53:29.458132Z" } }, "outputs": [], "source": [ "def make_plot(labels):\n", " fig, ax = plt.subplots(figsize=(9,5))\n", " ax = dta.loc[labels].T.plot(legend=False, grid=False, ax=ax)\n", " dta.mean().plot(ax=ax, grid=False, label='Mean')\n", " ax.set_xlim(0, 51);\n", " fig.subplots_adjust(.1, .1, .75, .9)\n", " ax.set_xlabel(\"Year\", size=17)\n", " ax.set_ylabel(\"Fertility\", size=17);\n", " legend = ax.legend(*ax.get_legend_handles_labels(), loc='center left', bbox_to_anchor=(1, .5))\n", " legend.draw_frame(False)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:29.464033Z", "iopub.status.busy": "2021-02-02T06:53:29.462556Z", "iopub.status.idle": "2021-02-02T06:53:29.789248Z", "shell.execute_reply": "2021-02-02T06:53:29.790646Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "labels = dta.index[idx[-5:]]\n", "make_plot(labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the five countries with the greatest scores on factor 2. These are countries that reached peak fertility around 1980, later than much of the rest of the world, followed by a rapid decrease in fertility." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:29.797012Z", "iopub.status.busy": "2021-02-02T06:53:29.795096Z", "iopub.status.idle": "2021-02-02T06:53:30.170422Z", "shell.execute_reply": "2021-02-02T06:53:30.171748Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "idx = pca_model.loadings.iloc[:,1].argsort()\n", "make_plot(dta.index[idx[-5:]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we have the countries with the most negative scores on PC 2. These are the countries where the fertility rate declined much faster than the global mean during the 1960's and 1970's, then flattened out." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:30.177712Z", "iopub.status.busy": "2021-02-02T06:53:30.175987Z", "iopub.status.idle": "2021-02-02T06:53:30.578842Z", "shell.execute_reply": "2021-02-02T06:53:30.580327Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "make_plot(dta.index[idx[:5]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also look at a scatterplot of the first two principal component scores. We see that the variation among countries is fairly continuous, except perhaps that the two countries with highest scores for PC 2 are somewhat separated from the other points. These countries, Oman and Yemen, are unique in having a sharp spike in fertility around 1980. No other country has such a spike. In contrast, the countries with high scores on PC 1 (that have continuously increasing fertility), are part of a continuum of variation." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2021-02-02T06:53:30.587124Z", "iopub.status.busy": "2021-02-02T06:53:30.584937Z", "iopub.status.idle": "2021-02-02T06:53:30.953625Z", "shell.execute_reply": "2021-02-02T06:53:30.955282Z" } }, "outputs": [ { "data": { "text/plain": [ "array([], dtype=object)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "pca_model.loadings.plot.scatter(x='comp_00',y='comp_01', ax=ax)\n", "ax.set_xlabel(\"PC 1\", size=17)\n", "ax.set_ylabel(\"PC 2\", size=17)\n", "dta.index[pca_model.loadings.iloc[:, 1] > .2].values" ] } ], "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": "3.7.9" } }, "nbformat": 4, "nbformat_minor": 0 }