{
 "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
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "from statsmodels.multivariate.pca import PCA"
   ]
  },
  {
   "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
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Country Name</th>\n",
       "      <th>Country Code</th>\n",
       "      <th>Indicator Name</th>\n",
       "      <th>Indicator Code</th>\n",
       "      <th>1960</th>\n",
       "      <th>1961</th>\n",
       "      <th>1962</th>\n",
       "      <th>1963</th>\n",
       "      <th>1964</th>\n",
       "      <th>1965</th>\n",
       "      <th>...</th>\n",
       "      <th>2004</th>\n",
       "      <th>2005</th>\n",
       "      <th>2006</th>\n",
       "      <th>2007</th>\n",
       "      <th>2008</th>\n",
       "      <th>2009</th>\n",
       "      <th>2010</th>\n",
       "      <th>2011</th>\n",
       "      <th>2012</th>\n",
       "      <th>2013</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Aruba</td>\n",
       "      <td>ABW</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>4.820</td>\n",
       "      <td>4.655</td>\n",
       "      <td>4.471</td>\n",
       "      <td>4.271</td>\n",
       "      <td>4.059</td>\n",
       "      <td>3.842</td>\n",
       "      <td>...</td>\n",
       "      <td>1.786</td>\n",
       "      <td>1.769</td>\n",
       "      <td>1.754</td>\n",
       "      <td>1.739</td>\n",
       "      <td>1.726</td>\n",
       "      <td>1.713</td>\n",
       "      <td>1.701</td>\n",
       "      <td>1.690</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Andorra</td>\n",
       "      <td>AND</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>...</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1.240</td>\n",
       "      <td>1.180</td>\n",
       "      <td>1.250</td>\n",
       "      <td>1.190</td>\n",
       "      <td>1.220</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Afghanistan</td>\n",
       "      <td>AFG</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>...</td>\n",
       "      <td>7.136</td>\n",
       "      <td>6.930</td>\n",
       "      <td>6.702</td>\n",
       "      <td>6.456</td>\n",
       "      <td>6.196</td>\n",
       "      <td>5.928</td>\n",
       "      <td>5.659</td>\n",
       "      <td>5.395</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Angola</td>\n",
       "      <td>AGO</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>7.316</td>\n",
       "      <td>7.354</td>\n",
       "      <td>7.385</td>\n",
       "      <td>7.410</td>\n",
       "      <td>7.425</td>\n",
       "      <td>7.430</td>\n",
       "      <td>...</td>\n",
       "      <td>6.704</td>\n",
       "      <td>6.657</td>\n",
       "      <td>6.598</td>\n",
       "      <td>6.523</td>\n",
       "      <td>6.434</td>\n",
       "      <td>6.331</td>\n",
       "      <td>6.218</td>\n",
       "      <td>6.099</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Albania</td>\n",
       "      <td>ALB</td>\n",
       "      <td>Fertility rate, total (births per woman)</td>\n",
       "      <td>SP.DYN.TFRT.IN</td>\n",
       "      <td>6.186</td>\n",
       "      <td>6.076</td>\n",
       "      <td>5.956</td>\n",
       "      <td>5.833</td>\n",
       "      <td>5.711</td>\n",
       "      <td>5.594</td>\n",
       "      <td>...</td>\n",
       "      <td>2.004</td>\n",
       "      <td>1.919</td>\n",
       "      <td>1.849</td>\n",
       "      <td>1.796</td>\n",
       "      <td>1.761</td>\n",
       "      <td>1.744</td>\n",
       "      <td>1.741</td>\n",
       "      <td>1.748</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 58 columns</p>\n",
       "</div>"
      ],
      "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": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>1960</th>\n",
       "      <th>1961</th>\n",
       "      <th>1962</th>\n",
       "      <th>1963</th>\n",
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       "      <th>1969</th>\n",
       "      <th>...</th>\n",
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       "      <th>2010</th>\n",
       "      <th>2011</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Country Name</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
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       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Aruba</th>\n",
       "      <td>4.820</td>\n",
       "      <td>4.655</td>\n",
       "      <td>4.471</td>\n",
       "      <td>4.271</td>\n",
       "      <td>4.059</td>\n",
       "      <td>3.842</td>\n",
       "      <td>3.625</td>\n",
       "      <td>3.417</td>\n",
       "      <td>3.226</td>\n",
       "      <td>3.054</td>\n",
       "      <td>...</td>\n",
       "      <td>1.825</td>\n",
       "      <td>1.805</td>\n",
       "      <td>1.786</td>\n",
       "      <td>1.769</td>\n",
       "      <td>1.754</td>\n",
       "      <td>1.739</td>\n",
       "      <td>1.726</td>\n",
       "      <td>1.713</td>\n",
       "      <td>1.701</td>\n",
       "      <td>1.690</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Afghanistan</th>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>7.671</td>\n",
       "      <td>...</td>\n",
       "      <td>7.484</td>\n",
       "      <td>7.321</td>\n",
       "      <td>7.136</td>\n",
       "      <td>6.930</td>\n",
       "      <td>6.702</td>\n",
       "      <td>6.456</td>\n",
       "      <td>6.196</td>\n",
       "      <td>5.928</td>\n",
       "      <td>5.659</td>\n",
       "      <td>5.395</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Angola</th>\n",
       "      <td>7.316</td>\n",
       "      <td>7.354</td>\n",
       "      <td>7.385</td>\n",
       "      <td>7.410</td>\n",
       "      <td>7.425</td>\n",
       "      <td>7.430</td>\n",
       "      <td>7.422</td>\n",
       "      <td>7.403</td>\n",
       "      <td>7.375</td>\n",
       "      <td>7.339</td>\n",
       "      <td>...</td>\n",
       "      <td>6.778</td>\n",
       "      <td>6.743</td>\n",
       "      <td>6.704</td>\n",
       "      <td>6.657</td>\n",
       "      <td>6.598</td>\n",
       "      <td>6.523</td>\n",
       "      <td>6.434</td>\n",
       "      <td>6.331</td>\n",
       "      <td>6.218</td>\n",
       "      <td>6.099</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Albania</th>\n",
       "      <td>6.186</td>\n",
       "      <td>6.076</td>\n",
       "      <td>5.956</td>\n",
       "      <td>5.833</td>\n",
       "      <td>5.711</td>\n",
       "      <td>5.594</td>\n",
       "      <td>5.483</td>\n",
       "      <td>5.376</td>\n",
       "      <td>5.268</td>\n",
       "      <td>5.160</td>\n",
       "      <td>...</td>\n",
       "      <td>2.195</td>\n",
       "      <td>2.097</td>\n",
       "      <td>2.004</td>\n",
       "      <td>1.919</td>\n",
       "      <td>1.849</td>\n",
       "      <td>1.796</td>\n",
       "      <td>1.761</td>\n",
       "      <td>1.744</td>\n",
       "      <td>1.741</td>\n",
       "      <td>1.748</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>United Arab Emirates</th>\n",
       "      <td>6.928</td>\n",
       "      <td>6.910</td>\n",
       "      <td>6.893</td>\n",
       "      <td>6.877</td>\n",
       "      <td>6.861</td>\n",
       "      <td>6.841</td>\n",
       "      <td>6.816</td>\n",
       "      <td>6.783</td>\n",
       "      <td>6.738</td>\n",
       "      <td>6.679</td>\n",
       "      <td>...</td>\n",
       "      <td>2.428</td>\n",
       "      <td>2.329</td>\n",
       "      <td>2.236</td>\n",
       "      <td>2.149</td>\n",
       "      <td>2.071</td>\n",
       "      <td>2.004</td>\n",
       "      <td>1.948</td>\n",
       "      <td>1.903</td>\n",
       "      <td>1.868</td>\n",
       "      <td>1.841</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 52 columns</p>\n",
       "</div>"
      ],
      "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": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 51.0)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "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
   },
   "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
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "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
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x288 with 1 Axes>"
      ]
     },
     "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
   },
   "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
   },
   "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
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x360 with 1 Axes>"
      ]
     },
     "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
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x360 with 1 Axes>"
      ]
     },
     "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
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x360 with 1 Axes>"
      ]
     },
     "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
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array(['Oman', 'Yemen, Rep.'], dtype=object)"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "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": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
