{ "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:06.154541Z", "iopub.status.busy": "2026-07-29T11:35:06.154293Z", "iopub.status.idle": "2026-07-29T11:35:10.340763Z", "shell.execute_reply": "2026-07-29T11:35:10.336879Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "\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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:10.343119Z", "iopub.status.busy": "2026-07-29T11:35:10.342780Z", "iopub.status.idle": "2026-07-29T11:35:10.404343Z", "shell.execute_reply": "2026-07-29T11:35:10.403756Z" }, "jupyter": { "outputs_hidden": false } }, "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": 2, "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:10.407082Z", "iopub.status.busy": "2026-07-29T11:35:10.406877Z", "iopub.status.idle": "2026-07-29T11:35:10.462814Z", "shell.execute_reply": "2026-07-29T11:35:10.462178Z" }, "jupyter": { "outputs_hidden": false } }, "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": 3, "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:10.466073Z", "iopub.status.busy": "2026-07-29T11:35:10.465227Z", "iopub.status.idle": "2026-07-29T11:35:10.895387Z", "shell.execute_reply": "2026-07-29T11:35:10.894030Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "(0.0, 51.0)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:10.897511Z", "iopub.status.busy": "2026-07-29T11:35:10.897305Z", "iopub.status.idle": "2026-07-29T11:35:11.226475Z", "shell.execute_reply": "2026-07-29T11:35:11.225664Z" }, "jupyter": { "outputs_hidden": false } }, "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:11.234709Z", "iopub.status.busy": "2026-07-29T11:35:11.234362Z", "iopub.status.idle": "2026-07-29T11:35:11.971975Z", "shell.execute_reply": "2026-07-29T11:35:11.968765Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:11.976599Z", "iopub.status.busy": "2026-07-29T11:35:11.976389Z", "iopub.status.idle": "2026-07-29T11:35:12.524502Z", "shell.execute_reply": "2026-07-29T11:35:12.523692Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_5213/427128218.py:3: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator. Otherwise, ticks may be mislabeled.\n", " ax.set_xticklabels(dta.columns.values[::10])\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 4))\n", "lines = ax.plot(pca_model.factors.iloc[:, :3], lw=4, alpha=0.6)\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(0.1, 0.1, 0.85, 0.9)\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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:12.527112Z", "iopub.status.busy": "2026-07-29T11:35:12.526904Z", "iopub.status.idle": "2026-07-29T11:35:12.533886Z", "shell.execute_reply": "2026-07-29T11:35:12.533149Z" }, "jupyter": { "outputs_hidden": false } }, "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:12.540816Z", "iopub.status.busy": "2026-07-29T11:35:12.540584Z", "iopub.status.idle": "2026-07-29T11:35:12.549267Z", "shell.execute_reply": "2026-07-29T11:35:12.548519Z" }, "jupyter": { "outputs_hidden": false } }, "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(0.1, 0.1, 0.75, 0.9)\n", " ax.set_xlabel(\"Year\", size=17)\n", " ax.set_ylabel(\"Fertility\", size=17)\n", " legend = ax.legend(\n", " *ax.get_legend_handles_labels(), loc=\"center left\", bbox_to_anchor=(1, 0.5)\n", " )\n", " legend.draw_frame(False)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2026-07-29T11:35:12.554286Z", "iopub.status.busy": "2026-07-29T11:35:12.553479Z", "iopub.status.idle": "2026-07-29T11:35:13.010303Z", "shell.execute_reply": "2026-07-29T11:35:13.009509Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:13.012939Z", "iopub.status.busy": "2026-07-29T11:35:13.012698Z", "iopub.status.idle": "2026-07-29T11:35:13.480345Z", "shell.execute_reply": "2026-07-29T11:35:13.479750Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:13.483050Z", "iopub.status.busy": "2026-07-29T11:35:13.482842Z", "iopub.status.idle": "2026-07-29T11:35:13.946147Z", "shell.execute_reply": "2026-07-29T11:35:13.945533Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "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": { "execution": { "iopub.execute_input": "2026-07-29T11:35:13.951018Z", "iopub.status.busy": "2026-07-29T11:35:13.950800Z", "iopub.status.idle": "2026-07-29T11:35:14.312368Z", "shell.execute_reply": "2026-07-29T11:35:14.310781Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "\n", "['Oman', 'Yemen, Rep.']\n", "Length: 2, dtype: str" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "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] > 0.2].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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }