{
 "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 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
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "\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": [
       "(0.0, 51.0)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 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 1152x576 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": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "<ipython-input-7-79858d32f82e>:3: UserWarning: FixedFormatter should only be used together with FixedLocator\n",
      "  ax.set_xticklabels(dta.columns.values[::10])\n"
     ]
    },
    {
     "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 1152x576 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"
   ]
  }
 ],
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