{
 "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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       "  </thead>\n",
       "  <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, 51)"
      ]
     },
     "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": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
