diff --git a/notebook/tp/2/pca.pdf b/notebook/tp/2/pca.pdf new file mode 100644 index 0000000..d4f2aa4 Binary files /dev/null and b/notebook/tp/2/pca.pdf differ diff --git a/notebook/tp/2/tempR.dat b/notebook/tp/2/tempR.dat new file mode 100644 index 0000000..3a3eb64 --- /dev/null +++ b/notebook/tp/2/tempR.dat @@ -0,0 +1,37 @@ + janv fevr mars avri mai juin juil aout sept octo nove dece +ajac 7.7 8.7 10.5 12.6 15.9 19.8 22.0 22.2 20.3 16.3 11.8 8.7 +ange 4.2 4.9 7.9 10.4 13.6 17.0 18.7 18.4 16.1 11.7 7.6 4.9 +ango 4.6 5.4 8.9 11.3 14.5 17.2 19.5 19.4 16.9 12.5 8.1 5.3 +besa 1.1 2.2 6.4 9.7 13.6 16.9 18.7 18.3 15.5 10.4 5.7 2.0 +biar 7.6 8.0 10.8 12.0 14.7 17.8 19.7 19.9 18.5 14.8 10.9 8.2 +bord 5.6 6.6 10.3 12.8 15.8 19.3 20.9 21.0 18.6 13.8 9.1 6.2 +bour 3.0 3.9 7.6 10.6 14.2 17.6 19.4 19.0 16.2 11.3 6.8 3.8 +bres 6.1 5.8 7.8 9.2 11.6 14.4 15.6 16.0 14.7 12.0 9.0 7.0 +caen 4.3 4.6 6.9 9.2 12.3 15.0 16.9 17.0 15.2 11.5 7.4 5.1 +cler 2.6 3.7 7.5 10.3 13.8 17.3 19.4 19.1 16.2 11.2 6.6 3.6 +dijo 1.3 2.6 6.9 10.4 14.3 17.7 19.6 19.0 15.9 10.5 5.7 2.1 +embr 0.5 1.6 5.7 9.0 13.0 16.4 18.9 18.3 15.3 10.1 4.6 0.5 +gren 1.5 3.2 7.7 10.6 14.5 17.8 20.1 19.5 16.7 11.4 6.5 2.3 +lill 2.4 2.9 6.0 8.9 12.4 15.3 17.1 17.1 14.7 10.4 6.1 3.5 +limo 3.1 3.9 7.4 9.9 13.3 16.8 18.4 17.8 15.3 10.7 6.7 3.8 +lyon 2.1 3.3 7.7 10.9 14.9 18.5 20.7 20.1 16.9 11.4 6.7 3.1 +mars 5.5 6.6 10.0 13.0 16.8 20.8 23.3 22.8 19.9 15.0 10.2 6.9 +metz 1.2 2.0 6.0 9.6 13.6 16.7 18.6 18.3 15.3 10.1 5.6 2.0 +momp 5.6 6.7 9.9 12.8 16.2 20.1 22.7 22.3 19.3 14.6 10.0 6.5 +nanc 0.8 1.6 5.5 9.2 13.3 16.5 18.3 17.7 14.7 9.4 5.2 1.8 +nant 5.0 5.3 8.4 10.8 13.9 17.2 18.8 18.6 16.4 12.2 8.2 5.5 +nice 7.5 8.5 10.8 13.3 16.7 20.1 22.7 22.5 20.3 16.0 11.5 8.2 +nime 5.7 6.8 10.1 13.0 16.6 20.8 23.6 22.9 19.7 14.6 9.8 6.5 +orle 2.7 3.6 6.9 9.8 13.4 16.6 18.4 18.2 15.6 10.9 6.6 3.6 +pari 3.4 4.1 7.6 10.7 14.3 17.5 19.1 18.7 16.0 11.4 7.1 4.3 +perp 7.5 8.4 11.3 13.9 17.1 21.1 23.8 23.3 20.5 15.9 11.5 8.6 +poit 3.8 4.6 8.0 10.4 13.7 17.1 18.9 18.8 16.3 11.7 7.4 4.6 +reim 1.9 2.8 6.2 9.4 13.3 16.4 18.3 17.9 15.1 10.3 6.1 3.0 +renn 4.8 5.3 7.9 10.1 13.1 16.2 17.9 17.8 15.7 11.6 7.8 5.4 +roue 3.4 3.9 6.8 9.5 12.9 15.7 17.6 17.2 15.0 11.0 6.8 4.3 +stqu 2.0 2.9 6.3 9.2 12.7 15.6 17.4 17.4 15.0 10.5 6.1 3.1 +stra 0.4 1.5 5.6 9.8 14.0 17.2 19.0 18.3 15.1 9.5 4.9 1.3 +toul 8.6 9.1 11.2 13.4 16.6 20.2 22.6 22.4 20.5 16.5 12.6 9.7 +tlse 4.7 5.6 9.2 11.6 14.9 18.7 20.9 20.9 18.3 13.3 8.6 5.5 +tour 3.5 4.4 7.7 10.6 13.9 17.4 19.1 18.7 16.2 11.7 7.2 4.3 +vich 2.4 3.4 7.1 9.9 13.6 17.1 19.3 18.8 16.0 11.0 6.6 3.4 diff --git a/notebook/tp/2/tp2.ipynb b/notebook/tp/2/tp2.ipynb new file mode 100644 index 0000000..ded4fa2 --- /dev/null +++ b/notebook/tp/2/tp2.ipynb @@ -0,0 +1,1675 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "
\n", + "\"INSA\"/ \n", + "\n", + "\"Wikistat\"/\n", + "
" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# [Scénarios d'Exploration Statistique](https://github.com/wikistat/Exploration)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Initiation to PCA with \"R\"/\n", + "#### Summary\n", + "This is an adaptation of the notebook \n", + "https://github.com/wikistat/Exploration/blob/master/TutosRudim/Cal1-R-SVDtoACP.ipynb\n", + "[Analyse en Composantes Principales](http://wikistat.fr/pdf/st-m-explo-acp.pdf). We do a PCA of a dataset composed of monthly temperature data of 36 French cities, with the R package [`FactoMineR`](http://factominer.free.fr/)." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "#### Note\n", + "As you can see, all the R code is given. The focus is on the statistical analysis.\n", + "Answer to the questions marked: **Q**." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## PCA of temperature curves\n", + "The dataset is contained in the file `tempR.dat` available on the same repository as the notebook. \n", + "It contains the montly temperature, averaged from 1931 to 1960, of 36 French cities. The first variable is the city name (4 characters), and the 12 next represent a month (source: Mémorial de la Météorologie nationale). \n", + "\n", + "### Elementary exploration" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + " janv fevr mars avri \n", + " Min. :0.400 Min. :1.500 Min. : 5.500 Min. : 8.900 \n", + " 1st Qu.:2.075 1st Qu.:3.125 1st Qu.: 6.875 1st Qu.: 9.675 \n", + " Median :3.450 Median :4.250 Median : 7.700 Median :10.400 \n", + " Mean :3.836 Mean :4.678 Mean : 8.014 Mean :10.772 \n", + " 3rd Qu.:5.525 3rd Qu.:6.000 3rd Qu.: 9.375 3rd Qu.:11.700 \n", + " Max. :8.600 Max. :9.100 Max. :11.300 Max. :13.900 \n", + " mai juin juil aout \n", + " Min. :11.60 Min. :14.40 Min. :15.60 Min. :16.00 \n", + " 1st Qu.:13.30 1st Qu.:16.57 1st Qu.:18.40 1st Qu.:18.12 \n", + " Median :13.90 Median :17.20 Median :19.10 Median :18.75 \n", + " Mean :14.25 Mean :17.61 Mean :19.61 Mean :19.32 \n", + " 3rd Qu.:14.90 3rd Qu.:18.55 3rd Qu.:20.75 3rd Qu.:20.30 \n", + " Max. :17.10 Max. :21.10 Max. :23.80 Max. :23.30 \n", + " sept octo nove dece \n", + " Min. :14.70 Min. : 9.40 Min. : 4.600 Min. :0.500 \n", + " 1st Qu.:15.30 1st Qu.:10.65 1st Qu.: 6.400 1st Qu.:3.100 \n", + " Median :16.15 Median :11.45 Median : 7.150 Median :4.300 \n", + " Mean :16.77 Mean :12.14 Mean : 7.753 Mean :4.683 \n", + " 3rd Qu.:18.35 3rd Qu.:13.43 3rd Qu.: 9.025 3rd Qu.:6.275 \n", + " Max. :20.50 Max. :16.50 Max. :12.600 Max. :9.700 " + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A data.frame: 6 × 12
janvfevrmarsavrimaijuinjuilaoutseptoctonovedece
<dbl><dbl><dbl><dbl><dbl><dbl><dbl><dbl><dbl><dbl><dbl><dbl>
ajac7.78.710.512.615.919.822.022.220.316.311.88.7
ange4.24.9 7.910.413.617.018.718.416.111.7 7.64.9
ango4.65.4 8.911.314.517.219.519.416.912.5 8.15.3
besa1.12.2 6.4 9.713.616.918.718.315.510.4 5.72.0
biar7.68.010.812.014.717.819.719.918.514.810.98.2
bord5.66.610.312.815.819.320.921.018.613.8 9.16.2
\n" + ], + "text/latex": [ + "A data.frame: 6 × 12\n", + "\\begin{tabular}{r|llllllllllll}\n", + " & janv & fevr & mars & avri & mai & juin & juil & aout & sept & octo & nove & dece\\\\\n", + " & & & & & & & & & & & & \\\\\n", + "\\hline\n", + "\tajac & 7.7 & 8.7 & 10.5 & 12.6 & 15.9 & 19.8 & 22.0 & 22.2 & 20.3 & 16.3 & 11.8 & 8.7\\\\\n", + "\tange & 4.2 & 4.9 & 7.9 & 10.4 & 13.6 & 17.0 & 18.7 & 18.4 & 16.1 & 11.7 & 7.6 & 4.9\\\\\n", + "\tango & 4.6 & 5.4 & 8.9 & 11.3 & 14.5 & 17.2 & 19.5 & 19.4 & 16.9 & 12.5 & 8.1 & 5.3\\\\\n", + "\tbesa & 1.1 & 2.2 & 6.4 & 9.7 & 13.6 & 16.9 & 18.7 & 18.3 & 15.5 & 10.4 & 5.7 & 2.0\\\\\n", + "\tbiar & 7.6 & 8.0 & 10.8 & 12.0 & 14.7 & 17.8 & 19.7 & 19.9 & 18.5 & 14.8 & 10.9 & 8.2\\\\\n", + "\tbord & 5.6 & 6.6 & 10.3 & 12.8 & 15.8 & 19.3 & 20.9 & 21.0 & 18.6 & 13.8 & 9.1 & 6.2\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A data.frame: 6 × 12\n", + "\n", + "| | janv <dbl> | fevr <dbl> | mars <dbl> | avri <dbl> | mai <dbl> | juin <dbl> | juil <dbl> | aout <dbl> | sept <dbl> | octo <dbl> | nove <dbl> | dece <dbl> |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| ajac | 7.7 | 8.7 | 10.5 | 12.6 | 15.9 | 19.8 | 22.0 | 22.2 | 20.3 | 16.3 | 11.8 | 8.7 |\n", + "| ange | 4.2 | 4.9 | 7.9 | 10.4 | 13.6 | 17.0 | 18.7 | 18.4 | 16.1 | 11.7 | 7.6 | 4.9 |\n", + "| ango | 4.6 | 5.4 | 8.9 | 11.3 | 14.5 | 17.2 | 19.5 | 19.4 | 16.9 | 12.5 | 8.1 | 5.3 |\n", + "| besa | 1.1 | 2.2 | 6.4 | 9.7 | 13.6 | 16.9 | 18.7 | 18.3 | 15.5 | 10.4 | 5.7 | 2.0 |\n", + "| biar | 7.6 | 8.0 | 10.8 | 12.0 | 14.7 | 17.8 | 19.7 | 19.9 | 18.5 | 14.8 | 10.9 | 8.2 |\n", + "| bord | 5.6 | 6.6 | 10.3 | 12.8 | 15.8 | 19.3 | 20.9 | 21.0 | 18.6 | 13.8 | 9.1 | 6.2 |\n", + "\n" + ], + "text/plain": [ + " janv fevr mars avri mai juin juil aout sept octo nove dece\n", + "ajac 7.7 8.7 10.5 12.6 15.9 19.8 22.0 22.2 20.3 16.3 11.8 8.7 \n", + "ange 4.2 4.9 7.9 10.4 13.6 17.0 18.7 18.4 16.1 11.7 7.6 4.9 \n", + "ango 4.6 5.4 8.9 11.3 14.5 17.2 19.5 19.4 16.9 12.5 8.1 5.3 \n", + "besa 1.1 2.2 6.4 9.7 13.6 16.9 18.7 18.3 15.5 10.4 5.7 2.0 \n", + "biar 7.6 8.0 10.8 12.0 14.7 17.8 19.7 19.9 18.5 14.8 10.9 8.2 \n", + "bord 5.6 6.6 10.3 12.8 15.8 19.3 20.9 21.0 18.6 13.8 9.1 6.2 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# data loading\n", + "temp <- read.table(\"tempR.dat\")\n", + "# verifications and elementary statistics\n", + "summary(temp)\n", + "head(temp)" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 360, + "width": 480 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# Plot\n", + "options(repr.plot.width = 8, repr.plot.height = 6)\n", + "matplot(t(temp), type = \"l\")" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 360, + "width": 480 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# Boxplots\n", + "boxplot(temp)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** What can you say about the distributions (position, dispersion, symmetry)?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "position of each boxplot\n", + "\n", + "dispersion of each boxplot\n", + "\n", + "symmetry of each boxplot" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** Consequence for PCA: should we scale the data before doing a PCA? " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 12 × 12 of type dbl
janvfevrmarsavrimaijuinjuilaoutseptoctonovedece
janv1.00000000.98853600.91991170.78250970.59957950.56632800.53989000.62968710.79078210.92764280.97533710.9948352
fevr0.98853601.00000000.96189490.85613020.69822840.66876480.64600140.72752810.86623040.96764840.99059850.9850215
mars0.91991170.96189491.00000000.94627470.82801430.80426270.78107100.84464930.93700590.97162710.95745330.9154278
avri0.78250970.85613020.94627471.00000000.96138050.94381640.92530980.95665920.97809870.92921990.87150250.7871887
mai0.59957950.69822840.82801430.96138051.00000000.99051240.98308840.98414280.94561480.82679310.73328660.6120187
juin0.56632800.66876480.80426270.94381640.99051241.00000000.99173330.98630380.93500570.80370350.70435450.5790681
juil0.53989000.64600140.78107100.92530980.98308840.99173331.00000000.99012520.93086170.79348650.68473570.5520168
aout0.62968710.72752810.84464930.95665920.98414280.98630380.99012521.00000000.96903720.85969670.76193110.6406010
sept0.79078210.86623040.93700590.97809870.94561480.93500570.93086170.96903721.00000000.95665520.89118150.7968598
octo0.92764280.96764840.97162710.92921990.82679310.80370350.79348650.85969670.95665521.00000000.98053470.9301548
nove0.97533710.99059850.95745330.87150250.73328660.70435450.68473570.76193110.89118150.98053471.00000000.9801163
dece0.99483520.98502150.91542780.78718870.61201870.57906810.55201680.64060100.79685980.93015480.98011631.0000000
\n" + ], + "text/latex": [ + "A matrix: 12 × 12 of type dbl\n", + "\\begin{tabular}{r|llllllllllll}\n", + " & janv & fevr & mars & avri & mai & juin & juil & aout & sept & octo & nove & dece\\\\\n", + "\\hline\n", + "\tjanv & 1.0000000 & 0.9885360 & 0.9199117 & 0.7825097 & 0.5995795 & 0.5663280 & 0.5398900 & 0.6296871 & 0.7907821 & 0.9276428 & 0.9753371 & 0.9948352\\\\\n", + "\tfevr & 0.9885360 & 1.0000000 & 0.9618949 & 0.8561302 & 0.6982284 & 0.6687648 & 0.6460014 & 0.7275281 & 0.8662304 & 0.9676484 & 0.9905985 & 0.9850215\\\\\n", + "\tmars & 0.9199117 & 0.9618949 & 1.0000000 & 0.9462747 & 0.8280143 & 0.8042627 & 0.7810710 & 0.8446493 & 0.9370059 & 0.9716271 & 0.9574533 & 0.9154278\\\\\n", + "\tavri & 0.7825097 & 0.8561302 & 0.9462747 & 1.0000000 & 0.9613805 & 0.9438164 & 0.9253098 & 0.9566592 & 0.9780987 & 0.9292199 & 0.8715025 & 0.7871887\\\\\n", + "\tmai & 0.5995795 & 0.6982284 & 0.8280143 & 0.9613805 & 1.0000000 & 0.9905124 & 0.9830884 & 0.9841428 & 0.9456148 & 0.8267931 & 0.7332866 & 0.6120187\\\\\n", + "\tjuin & 0.5663280 & 0.6687648 & 0.8042627 & 0.9438164 & 0.9905124 & 1.0000000 & 0.9917333 & 0.9863038 & 0.9350057 & 0.8037035 & 0.7043545 & 0.5790681\\\\\n", + "\tjuil & 0.5398900 & 0.6460014 & 0.7810710 & 0.9253098 & 0.9830884 & 0.9917333 & 1.0000000 & 0.9901252 & 0.9308617 & 0.7934865 & 0.6847357 & 0.5520168\\\\\n", + "\taout & 0.6296871 & 0.7275281 & 0.8446493 & 0.9566592 & 0.9841428 & 0.9863038 & 0.9901252 & 1.0000000 & 0.9690372 & 0.8596967 & 0.7619311 & 0.6406010\\\\\n", + "\tsept & 0.7907821 & 0.8662304 & 0.9370059 & 0.9780987 & 0.9456148 & 0.9350057 & 0.9308617 & 0.9690372 & 1.0000000 & 0.9566552 & 0.8911815 & 0.7968598\\\\\n", + "\tocto & 0.9276428 & 0.9676484 & 0.9716271 & 0.9292199 & 0.8267931 & 0.8037035 & 0.7934865 & 0.8596967 & 0.9566552 & 1.0000000 & 0.9805347 & 0.9301548\\\\\n", + "\tnove & 0.9753371 & 0.9905985 & 0.9574533 & 0.8715025 & 0.7332866 & 0.7043545 & 0.6847357 & 0.7619311 & 0.8911815 & 0.9805347 & 1.0000000 & 0.9801163\\\\\n", + "\tdece & 0.9948352 & 0.9850215 & 0.9154278 & 0.7871887 & 0.6120187 & 0.5790681 & 0.5520168 & 0.6406010 & 0.7968598 & 0.9301548 & 0.9801163 & 1.0000000\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 12 × 12 of type dbl\n", + "\n", + "| | janv | fevr | mars | avri | mai | juin | juil | aout | sept | octo | nove | dece |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| janv | 1.0000000 | 0.9885360 | 0.9199117 | 0.7825097 | 0.5995795 | 0.5663280 | 0.5398900 | 0.6296871 | 0.7907821 | 0.9276428 | 0.9753371 | 0.9948352 |\n", + "| fevr | 0.9885360 | 1.0000000 | 0.9618949 | 0.8561302 | 0.6982284 | 0.6687648 | 0.6460014 | 0.7275281 | 0.8662304 | 0.9676484 | 0.9905985 | 0.9850215 |\n", + "| mars | 0.9199117 | 0.9618949 | 1.0000000 | 0.9462747 | 0.8280143 | 0.8042627 | 0.7810710 | 0.8446493 | 0.9370059 | 0.9716271 | 0.9574533 | 0.9154278 |\n", + "| avri | 0.7825097 | 0.8561302 | 0.9462747 | 1.0000000 | 0.9613805 | 0.9438164 | 0.9253098 | 0.9566592 | 0.9780987 | 0.9292199 | 0.8715025 | 0.7871887 |\n", + "| mai | 0.5995795 | 0.6982284 | 0.8280143 | 0.9613805 | 1.0000000 | 0.9905124 | 0.9830884 | 0.9841428 | 0.9456148 | 0.8267931 | 0.7332866 | 0.6120187 |\n", + "| juin | 0.5663280 | 0.6687648 | 0.8042627 | 0.9438164 | 0.9905124 | 1.0000000 | 0.9917333 | 0.9863038 | 0.9350057 | 0.8037035 | 0.7043545 | 0.5790681 |\n", + "| juil | 0.5398900 | 0.6460014 | 0.7810710 | 0.9253098 | 0.9830884 | 0.9917333 | 1.0000000 | 0.9901252 | 0.9308617 | 0.7934865 | 0.6847357 | 0.5520168 |\n", + "| aout | 0.6296871 | 0.7275281 | 0.8446493 | 0.9566592 | 0.9841428 | 0.9863038 | 0.9901252 | 1.0000000 | 0.9690372 | 0.8596967 | 0.7619311 | 0.6406010 |\n", + "| sept | 0.7907821 | 0.8662304 | 0.9370059 | 0.9780987 | 0.9456148 | 0.9350057 | 0.9308617 | 0.9690372 | 1.0000000 | 0.9566552 | 0.8911815 | 0.7968598 |\n", + "| octo | 0.9276428 | 0.9676484 | 0.9716271 | 0.9292199 | 0.8267931 | 0.8037035 | 0.7934865 | 0.8596967 | 0.9566552 | 1.0000000 | 0.9805347 | 0.9301548 |\n", + "| nove | 0.9753371 | 0.9905985 | 0.9574533 | 0.8715025 | 0.7332866 | 0.7043545 | 0.6847357 | 0.7619311 | 0.8911815 | 0.9805347 | 1.0000000 | 0.9801163 |\n", + "| dece | 0.9948352 | 0.9850215 | 0.9154278 | 0.7871887 | 0.6120187 | 0.5790681 | 0.5520168 | 0.6406010 | 0.7968598 | 0.9301548 | 0.9801163 | 1.0000000 |\n", + "\n" + ], + "text/plain": [ + " janv fevr mars avri mai juin juil \n", + "janv 1.0000000 0.9885360 0.9199117 0.7825097 0.5995795 0.5663280 0.5398900\n", + "fevr 0.9885360 1.0000000 0.9618949 0.8561302 0.6982284 0.6687648 0.6460014\n", + "mars 0.9199117 0.9618949 1.0000000 0.9462747 0.8280143 0.8042627 0.7810710\n", + "avri 0.7825097 0.8561302 0.9462747 1.0000000 0.9613805 0.9438164 0.9253098\n", + "mai 0.5995795 0.6982284 0.8280143 0.9613805 1.0000000 0.9905124 0.9830884\n", + "juin 0.5663280 0.6687648 0.8042627 0.9438164 0.9905124 1.0000000 0.9917333\n", + "juil 0.5398900 0.6460014 0.7810710 0.9253098 0.9830884 0.9917333 1.0000000\n", + "aout 0.6296871 0.7275281 0.8446493 0.9566592 0.9841428 0.9863038 0.9901252\n", + "sept 0.7907821 0.8662304 0.9370059 0.9780987 0.9456148 0.9350057 0.9308617\n", + "octo 0.9276428 0.9676484 0.9716271 0.9292199 0.8267931 0.8037035 0.7934865\n", + "nove 0.9753371 0.9905985 0.9574533 0.8715025 0.7332866 0.7043545 0.6847357\n", + "dece 0.9948352 0.9850215 0.9154278 0.7871887 0.6120187 0.5790681 0.5520168\n", + " aout sept octo nove dece \n", + "janv 0.6296871 0.7907821 0.9276428 0.9753371 0.9948352\n", + "fevr 0.7275281 0.8662304 0.9676484 0.9905985 0.9850215\n", + "mars 0.8446493 0.9370059 0.9716271 0.9574533 0.9154278\n", + "avri 0.9566592 0.9780987 0.9292199 0.8715025 0.7871887\n", + "mai 0.9841428 0.9456148 0.8267931 0.7332866 0.6120187\n", + "juin 0.9863038 0.9350057 0.8037035 0.7043545 0.5790681\n", + "juil 0.9901252 0.9308617 0.7934865 0.6847357 0.5520168\n", + "aout 1.0000000 0.9690372 0.8596967 0.7619311 0.6406010\n", + "sept 0.9690372 1.0000000 0.9566552 0.8911815 0.7968598\n", + "octo 0.8596967 0.9566552 1.0000000 0.9805347 0.9301548\n", + "nove 0.7619311 0.8911815 0.9805347 1.0000000 0.9801163\n", + "dece 0.6406010 0.7968598 0.9301548 0.9801163 1.0000000" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Correlations\n", + "cor(temp)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 360, + "width": 480 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "plot(temp$janv, temp$juin)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 480, + "width": 480 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "options(repr.plot.width=8, repr.plot.height=8)\n", + "pairs(temp)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** Comment this correlation structure. Consequence for dimension reduction?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### PCA with the R package FactoMineR" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "FactoMineR has many nice functionalities for PCA. \n", + "Mind however that it also gives statistical results, such as *p*-values of statistical tests or confidence ellipsoids, that should be used with care. Indeed, they are based on an implicit assumption of a Gaussian probabilistic model, which may not be verified. We do not use them here." + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "Plot with title “Percentage of inertia”" + ] + }, + "metadata": { + "image/png": { + "height": 300, + "width": 720 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "library(FactoMineR)\n", + "# PCA with FactoMineR\n", + "acp <- PCA(temp, scale.unit = FALSE, ncp = 12, graph = F)\n", + "options(repr.plot.width = 12, repr.plot.height = 5)\n", + "# barplot of the inertias and percentage of inertia associated to each principal component\n", + "par(mfrow = c(1, 2))\n", + "barplot(acp$eig[, 1], main = \"Inertia\")\n", + "barplot(acp$eig[, 2], ylim = c(0, 100), main = \"Percentage of inertia\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 300, + "width": 720 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# Distribution of individual coordinates on the principal axes (the \"principal components\")\n", + "boxplot(acp$ind$coord)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** Recall the interpretation of inertia in terms of variance. Then, what is the link between the two graphs above?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Inertia is a generalization of the variance to the case of multivariate data (n variables).\n", + "$$\n", + "I(X) = \\frac{1}{n} \\sum_{i = 1}^n d^2(x_i, \\overline{x})\n", + "$$" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** How many axes should we keep? Justify." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "comp 3: 0.39514305503379" + ], + "text/latex": [ + "\\textbf{comp 3:} 0.39514305503379" + ], + "text/markdown": [ + "**comp 3:** 0.39514305503379" + ], + "text/plain": [ + " comp 3 \n", + "0.3951431 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "acp$eig[, 2][3]" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "From the $3^{rd}$ component, the percentage of inertia is not significant." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let us now interpret the eigenvectors defining the principal axis." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 12 × 12 of type dbl
0.3290390-0.38986775 0.10323897 0.11374053-0.33464352 0.41991694-0.03799135 0.009415908 0.62535894-0.11694515 0.122293972 0.08116012
0.3299792-0.25894200 0.10959282-0.15238814-0.27337760 0.32017142-0.19713748-0.049425046-0.69936159-0.19956697-0.201528803 0.02704669
0.2721243-0.04848174 0.59022791-0.48366714-0.04750694-0.49563511-0.01089671 0.130640789 0.06917833 0.04396375 0.190984072 0.18167230
0.2256422 0.13867035 0.44728993 0.05998080 0.27674747 0.22509261 0.22309526 0.043999772 0.09202144 0.21587666-0.461667062-0.52822313
0.1974986 0.27588497 0.20578891 0.24038615 0.50341800 0.34952061 0.08945594 0.218043649-0.13289208-0.20290680 0.348433172 0.41637763
0.2348523 0.36424678 0.16208373 0.33757691-0.07842201-0.12231944-0.53922766-0.567678523 0.05250208 0.16600367-0.006849728 0.08626309
0.2689712 0.44841122-0.15360404 0.16440263-0.46341761-0.05408440-0.05973196 0.580726492-0.06995707 0.13928870 0.187648416-0.24074892
0.2785683 0.35613931-0.20142509-0.09465157-0.19793622-0.09896692 0.47519898-0.162318588 0.11321803-0.22947791-0.464575633 0.40446254
0.2987661 0.17265811-0.25584707-0.35335024 0.15149284 0.03175098 0.08686552-0.343440365 0.04041565-0.37510673 0.405869703-0.48382859
0.3250880-0.06102674-0.38928745-0.35530687 0.22709208 0.18798525-0.06478268-0.003571616 0.01243962 0.69502764 0.017313072 0.19536915
0.3264980-0.20870484-0.27465522 0.11877488 0.38224123-0.33881714-0.40791482 0.318960811 0.13525372-0.31694270-0.333156739-0.03902356
0.3350069-0.38155390-0.06057605 0.50336040 0.01699288-0.35192225 0.45112694-0.159288888-0.21989806 0.18152224 0.215175561-0.06718135
\n" + ], + "text/latex": [ + "A matrix: 12 × 12 of type dbl\n", + "\\begin{tabular}{llllllllllll}\n", + "\t 0.3290390 & -0.38986775 & 0.10323897 & 0.11374053 & -0.33464352 & 0.41991694 & -0.03799135 & 0.009415908 & 0.62535894 & -0.11694515 & 0.122293972 & 0.08116012\\\\\n", + "\t 0.3299792 & -0.25894200 & 0.10959282 & -0.15238814 & -0.27337760 & 0.32017142 & -0.19713748 & -0.049425046 & -0.69936159 & -0.19956697 & -0.201528803 & 0.02704669\\\\\n", + "\t 0.2721243 & -0.04848174 & 0.59022791 & -0.48366714 & -0.04750694 & -0.49563511 & -0.01089671 & 0.130640789 & 0.06917833 & 0.04396375 & 0.190984072 & 0.18167230\\\\\n", + "\t 0.2256422 & 0.13867035 & 0.44728993 & 0.05998080 & 0.27674747 & 0.22509261 & 0.22309526 & 0.043999772 & 0.09202144 & 0.21587666 & -0.461667062 & -0.52822313\\\\\n", + "\t 0.1974986 & 0.27588497 & 0.20578891 & 0.24038615 & 0.50341800 & 0.34952061 & 0.08945594 & 0.218043649 & -0.13289208 & -0.20290680 & 0.348433172 & 0.41637763\\\\\n", + "\t 0.2348523 & 0.36424678 & 0.16208373 & 0.33757691 & -0.07842201 & -0.12231944 & -0.53922766 & -0.567678523 & 0.05250208 & 0.16600367 & -0.006849728 & 0.08626309\\\\\n", + "\t 0.2689712 & 0.44841122 & -0.15360404 & 0.16440263 & -0.46341761 & -0.05408440 & -0.05973196 & 0.580726492 & -0.06995707 & 0.13928870 & 0.187648416 & -0.24074892\\\\\n", + "\t 0.2785683 & 0.35613931 & -0.20142509 & -0.09465157 & -0.19793622 & -0.09896692 & 0.47519898 & -0.162318588 & 0.11321803 & -0.22947791 & -0.464575633 & 0.40446254\\\\\n", + "\t 0.2987661 & 0.17265811 & -0.25584707 & -0.35335024 & 0.15149284 & 0.03175098 & 0.08686552 & -0.343440365 & 0.04041565 & -0.37510673 & 0.405869703 & -0.48382859\\\\\n", + "\t 0.3250880 & -0.06102674 & -0.38928745 & -0.35530687 & 0.22709208 & 0.18798525 & -0.06478268 & -0.003571616 & 0.01243962 & 0.69502764 & 0.017313072 & 0.19536915\\\\\n", + "\t 0.3264980 & -0.20870484 & -0.27465522 & 0.11877488 & 0.38224123 & -0.33881714 & -0.40791482 & 0.318960811 & 0.13525372 & -0.31694270 & -0.333156739 & -0.03902356\\\\\n", + "\t 0.3350069 & -0.38155390 & -0.06057605 & 0.50336040 & 0.01699288 & -0.35192225 & 0.45112694 & -0.159288888 & -0.21989806 & 0.18152224 & 0.215175561 & -0.06718135\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 12 × 12 of type dbl\n", + "\n", + "| 0.3290390 | -0.38986775 | 0.10323897 | 0.11374053 | -0.33464352 | 0.41991694 | -0.03799135 | 0.009415908 | 0.62535894 | -0.11694515 | 0.122293972 | 0.08116012 |\n", + "| 0.3299792 | -0.25894200 | 0.10959282 | -0.15238814 | -0.27337760 | 0.32017142 | -0.19713748 | -0.049425046 | -0.69936159 | -0.19956697 | -0.201528803 | 0.02704669 |\n", + "| 0.2721243 | -0.04848174 | 0.59022791 | -0.48366714 | -0.04750694 | -0.49563511 | -0.01089671 | 0.130640789 | 0.06917833 | 0.04396375 | 0.190984072 | 0.18167230 |\n", + "| 0.2256422 | 0.13867035 | 0.44728993 | 0.05998080 | 0.27674747 | 0.22509261 | 0.22309526 | 0.043999772 | 0.09202144 | 0.21587666 | -0.461667062 | -0.52822313 |\n", + "| 0.1974986 | 0.27588497 | 0.20578891 | 0.24038615 | 0.50341800 | 0.34952061 | 0.08945594 | 0.218043649 | -0.13289208 | -0.20290680 | 0.348433172 | 0.41637763 |\n", + "| 0.2348523 | 0.36424678 | 0.16208373 | 0.33757691 | -0.07842201 | -0.12231944 | -0.53922766 | -0.567678523 | 0.05250208 | 0.16600367 | -0.006849728 | 0.08626309 |\n", + "| 0.2689712 | 0.44841122 | -0.15360404 | 0.16440263 | -0.46341761 | -0.05408440 | -0.05973196 | 0.580726492 | -0.06995707 | 0.13928870 | 0.187648416 | -0.24074892 |\n", + "| 0.2785683 | 0.35613931 | -0.20142509 | -0.09465157 | -0.19793622 | -0.09896692 | 0.47519898 | -0.162318588 | 0.11321803 | -0.22947791 | -0.464575633 | 0.40446254 |\n", + "| 0.2987661 | 0.17265811 | -0.25584707 | -0.35335024 | 0.15149284 | 0.03175098 | 0.08686552 | -0.343440365 | 0.04041565 | -0.37510673 | 0.405869703 | -0.48382859 |\n", + "| 0.3250880 | -0.06102674 | -0.38928745 | -0.35530687 | 0.22709208 | 0.18798525 | -0.06478268 | -0.003571616 | 0.01243962 | 0.69502764 | 0.017313072 | 0.19536915 |\n", + "| 0.3264980 | -0.20870484 | -0.27465522 | 0.11877488 | 0.38224123 | -0.33881714 | -0.40791482 | 0.318960811 | 0.13525372 | -0.31694270 | -0.333156739 | -0.03902356 |\n", + "| 0.3350069 | -0.38155390 | -0.06057605 | 0.50336040 | 0.01699288 | -0.35192225 | 0.45112694 | -0.159288888 | -0.21989806 | 0.18152224 | 0.215175561 | -0.06718135 |\n", + "\n" + ], + "text/plain": [ + " [,1] [,2] [,3] [,4] [,5] [,6] \n", + " [1,] 0.3290390 -0.38986775 0.10323897 0.11374053 -0.33464352 0.41991694\n", + " [2,] 0.3299792 -0.25894200 0.10959282 -0.15238814 -0.27337760 0.32017142\n", + " [3,] 0.2721243 -0.04848174 0.59022791 -0.48366714 -0.04750694 -0.49563511\n", + " [4,] 0.2256422 0.13867035 0.44728993 0.05998080 0.27674747 0.22509261\n", + " [5,] 0.1974986 0.27588497 0.20578891 0.24038615 0.50341800 0.34952061\n", + " [6,] 0.2348523 0.36424678 0.16208373 0.33757691 -0.07842201 -0.12231944\n", + " [7,] 0.2689712 0.44841122 -0.15360404 0.16440263 -0.46341761 -0.05408440\n", + " [8,] 0.2785683 0.35613931 -0.20142509 -0.09465157 -0.19793622 -0.09896692\n", + " [9,] 0.2987661 0.17265811 -0.25584707 -0.35335024 0.15149284 0.03175098\n", + "[10,] 0.3250880 -0.06102674 -0.38928745 -0.35530687 0.22709208 0.18798525\n", + "[11,] 0.3264980 -0.20870484 -0.27465522 0.11877488 0.38224123 -0.33881714\n", + "[12,] 0.3350069 -0.38155390 -0.06057605 0.50336040 0.01699288 -0.35192225\n", + " [,7] [,8] [,9] [,10] [,11] [,12] \n", + " [1,] -0.03799135 0.009415908 0.62535894 -0.11694515 0.122293972 0.08116012\n", + " [2,] -0.19713748 -0.049425046 -0.69936159 -0.19956697 -0.201528803 0.02704669\n", + " [3,] -0.01089671 0.130640789 0.06917833 0.04396375 0.190984072 0.18167230\n", + " [4,] 0.22309526 0.043999772 0.09202144 0.21587666 -0.461667062 -0.52822313\n", + " [5,] 0.08945594 0.218043649 -0.13289208 -0.20290680 0.348433172 0.41637763\n", + " [6,] -0.53922766 -0.567678523 0.05250208 0.16600367 -0.006849728 0.08626309\n", + " [7,] -0.05973196 0.580726492 -0.06995707 0.13928870 0.187648416 -0.24074892\n", + " [8,] 0.47519898 -0.162318588 0.11321803 -0.22947791 -0.464575633 0.40446254\n", + " [9,] 0.08686552 -0.343440365 0.04041565 -0.37510673 0.405869703 -0.48382859\n", + "[10,] -0.06478268 -0.003571616 0.01243962 0.69502764 0.017313072 0.19536915\n", + "[11,] -0.40791482 0.318960811 0.13525372 -0.31694270 -0.333156739 -0.03902356\n", + "[12,] 0.45112694 -0.159288888 -0.21989806 0.18152224 0.215175561 -0.06718135" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 12 × 12 of type dbl
1.000000e+00-2.376712e-17-4.532215e-17 7.709391e-18-2.544861e-17 4.497989e-17-6.943038e-18-7.856338e-18 4.726281e-17 2.437621e-17-6.790075e-17 1.990144e-17
-2.376712e-17 1.000000e+00-3.608357e-16 8.285730e-17 7.161377e-17 9.022418e-17 3.119875e-17-1.446241e-18-2.471442e-16-3.232146e-17-1.547566e-16-8.320200e-17
-4.532215e-17-3.608357e-16 1.000000e+00 5.634661e-16 2.059806e-16 2.840875e-16-8.606243e-18-6.143648e-17-4.660828e-16 2.182021e-16-4.225198e-16-2.125050e-16
7.709391e-18 8.285730e-17 5.634661e-16 1.000000e+00 4.226177e-17 2.411129e-17 1.794414e-16 1.749805e-16-8.462036e-19 5.707031e-17-4.641950e-17-1.477435e-16
-2.544861e-17 7.161377e-17 2.059806e-16 4.226177e-17 1.000000e+00-6.312528e-18 9.834252e-17-2.776319e-17 4.508926e-17-1.209551e-16-8.130136e-17 1.640353e-17
4.497989e-17 9.022418e-17 2.840875e-16 2.411129e-17-6.312528e-18 1.000000e+00-2.100893e-17-2.455649e-16 1.915513e-16 5.788254e-17-1.131384e-16-6.408786e-17
-6.943038e-18 3.119875e-17-8.606243e-18 1.794414e-16 9.834252e-17-2.100893e-17 1.000000e+00-1.247482e-16-9.546826e-17 1.924728e-16-3.674620e-16 3.341314e-16
-7.856338e-18-1.446241e-18-6.143648e-17 1.749805e-16-2.776319e-17-2.455649e-16-1.247482e-16 1.000000e+00-1.479527e-16-1.293313e-17 2.238509e-16 8.616760e-18
4.726281e-17-2.471442e-16-4.660828e-16-8.462036e-19 4.508926e-17 1.915513e-16-9.546826e-17-1.479527e-16 1.000000e+00-4.866700e-17-2.091644e-16-7.143117e-17
2.437621e-17-3.232146e-17 2.182021e-16 5.707031e-17-1.209551e-16 5.788254e-17 1.924728e-16-1.293313e-17-4.866700e-17 1.000000e+00-3.229331e-16 4.540073e-17
-6.790075e-17-1.547566e-16-4.225198e-16-4.641950e-17-8.130136e-17-1.131384e-16-3.674620e-16 2.238509e-16-2.091644e-16-3.229331e-16 1.000000e+00 3.961530e-16
1.990144e-17-8.320200e-17-2.125050e-16-1.477435e-16 1.640353e-17-6.408786e-17 3.341314e-16 8.616760e-18-7.143117e-17 4.540073e-17 3.961530e-16 1.000000e+00
\n" + ], + "text/latex": [ + "A matrix: 12 × 12 of type dbl\n", + "\\begin{tabular}{llllllllllll}\n", + "\t 1.000000e+00 & -2.376712e-17 & -4.532215e-17 & 7.709391e-18 & -2.544861e-17 & 4.497989e-17 & -6.943038e-18 & -7.856338e-18 & 4.726281e-17 & 2.437621e-17 & -6.790075e-17 & 1.990144e-17\\\\\n", + "\t -2.376712e-17 & 1.000000e+00 & -3.608357e-16 & 8.285730e-17 & 7.161377e-17 & 9.022418e-17 & 3.119875e-17 & -1.446241e-18 & -2.471442e-16 & -3.232146e-17 & -1.547566e-16 & -8.320200e-17\\\\\n", + "\t -4.532215e-17 & -3.608357e-16 & 1.000000e+00 & 5.634661e-16 & 2.059806e-16 & 2.840875e-16 & -8.606243e-18 & -6.143648e-17 & -4.660828e-16 & 2.182021e-16 & -4.225198e-16 & -2.125050e-16\\\\\n", + "\t 7.709391e-18 & 8.285730e-17 & 5.634661e-16 & 1.000000e+00 & 4.226177e-17 & 2.411129e-17 & 1.794414e-16 & 1.749805e-16 & -8.462036e-19 & 5.707031e-17 & -4.641950e-17 & -1.477435e-16\\\\\n", + "\t -2.544861e-17 & 7.161377e-17 & 2.059806e-16 & 4.226177e-17 & 1.000000e+00 & -6.312528e-18 & 9.834252e-17 & -2.776319e-17 & 4.508926e-17 & -1.209551e-16 & -8.130136e-17 & 1.640353e-17\\\\\n", + "\t 4.497989e-17 & 9.022418e-17 & 2.840875e-16 & 2.411129e-17 & -6.312528e-18 & 1.000000e+00 & -2.100893e-17 & -2.455649e-16 & 1.915513e-16 & 5.788254e-17 & -1.131384e-16 & -6.408786e-17\\\\\n", + "\t -6.943038e-18 & 3.119875e-17 & -8.606243e-18 & 1.794414e-16 & 9.834252e-17 & -2.100893e-17 & 1.000000e+00 & -1.247482e-16 & -9.546826e-17 & 1.924728e-16 & -3.674620e-16 & 3.341314e-16\\\\\n", + "\t -7.856338e-18 & -1.446241e-18 & -6.143648e-17 & 1.749805e-16 & -2.776319e-17 & -2.455649e-16 & -1.247482e-16 & 1.000000e+00 & -1.479527e-16 & -1.293313e-17 & 2.238509e-16 & 8.616760e-18\\\\\n", + "\t 4.726281e-17 & -2.471442e-16 & -4.660828e-16 & -8.462036e-19 & 4.508926e-17 & 1.915513e-16 & -9.546826e-17 & -1.479527e-16 & 1.000000e+00 & -4.866700e-17 & -2.091644e-16 & -7.143117e-17\\\\\n", + "\t 2.437621e-17 & -3.232146e-17 & 2.182021e-16 & 5.707031e-17 & -1.209551e-16 & 5.788254e-17 & 1.924728e-16 & -1.293313e-17 & -4.866700e-17 & 1.000000e+00 & -3.229331e-16 & 4.540073e-17\\\\\n", + "\t -6.790075e-17 & -1.547566e-16 & -4.225198e-16 & -4.641950e-17 & -8.130136e-17 & -1.131384e-16 & -3.674620e-16 & 2.238509e-16 & -2.091644e-16 & -3.229331e-16 & 1.000000e+00 & 3.961530e-16\\\\\n", + "\t 1.990144e-17 & -8.320200e-17 & -2.125050e-16 & -1.477435e-16 & 1.640353e-17 & -6.408786e-17 & 3.341314e-16 & 8.616760e-18 & -7.143117e-17 & 4.540073e-17 & 3.961530e-16 & 1.000000e+00\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 12 × 12 of type dbl\n", + "\n", + "| 1.000000e+00 | -2.376712e-17 | -4.532215e-17 | 7.709391e-18 | -2.544861e-17 | 4.497989e-17 | -6.943038e-18 | -7.856338e-18 | 4.726281e-17 | 2.437621e-17 | -6.790075e-17 | 1.990144e-17 |\n", + "| -2.376712e-17 | 1.000000e+00 | -3.608357e-16 | 8.285730e-17 | 7.161377e-17 | 9.022418e-17 | 3.119875e-17 | -1.446241e-18 | -2.471442e-16 | -3.232146e-17 | -1.547566e-16 | -8.320200e-17 |\n", + "| -4.532215e-17 | -3.608357e-16 | 1.000000e+00 | 5.634661e-16 | 2.059806e-16 | 2.840875e-16 | -8.606243e-18 | -6.143648e-17 | -4.660828e-16 | 2.182021e-16 | -4.225198e-16 | -2.125050e-16 |\n", + "| 7.709391e-18 | 8.285730e-17 | 5.634661e-16 | 1.000000e+00 | 4.226177e-17 | 2.411129e-17 | 1.794414e-16 | 1.749805e-16 | -8.462036e-19 | 5.707031e-17 | -4.641950e-17 | -1.477435e-16 |\n", + "| -2.544861e-17 | 7.161377e-17 | 2.059806e-16 | 4.226177e-17 | 1.000000e+00 | -6.312528e-18 | 9.834252e-17 | -2.776319e-17 | 4.508926e-17 | -1.209551e-16 | -8.130136e-17 | 1.640353e-17 |\n", + "| 4.497989e-17 | 9.022418e-17 | 2.840875e-16 | 2.411129e-17 | -6.312528e-18 | 1.000000e+00 | -2.100893e-17 | -2.455649e-16 | 1.915513e-16 | 5.788254e-17 | -1.131384e-16 | -6.408786e-17 |\n", + "| -6.943038e-18 | 3.119875e-17 | -8.606243e-18 | 1.794414e-16 | 9.834252e-17 | -2.100893e-17 | 1.000000e+00 | -1.247482e-16 | -9.546826e-17 | 1.924728e-16 | -3.674620e-16 | 3.341314e-16 |\n", + "| -7.856338e-18 | -1.446241e-18 | -6.143648e-17 | 1.749805e-16 | -2.776319e-17 | -2.455649e-16 | -1.247482e-16 | 1.000000e+00 | -1.479527e-16 | -1.293313e-17 | 2.238509e-16 | 8.616760e-18 |\n", + "| 4.726281e-17 | -2.471442e-16 | -4.660828e-16 | -8.462036e-19 | 4.508926e-17 | 1.915513e-16 | -9.546826e-17 | -1.479527e-16 | 1.000000e+00 | -4.866700e-17 | -2.091644e-16 | -7.143117e-17 |\n", + "| 2.437621e-17 | -3.232146e-17 | 2.182021e-16 | 5.707031e-17 | -1.209551e-16 | 5.788254e-17 | 1.924728e-16 | -1.293313e-17 | -4.866700e-17 | 1.000000e+00 | -3.229331e-16 | 4.540073e-17 |\n", + "| -6.790075e-17 | -1.547566e-16 | -4.225198e-16 | -4.641950e-17 | -8.130136e-17 | -1.131384e-16 | -3.674620e-16 | 2.238509e-16 | -2.091644e-16 | -3.229331e-16 | 1.000000e+00 | 3.961530e-16 |\n", + "| 1.990144e-17 | -8.320200e-17 | -2.125050e-16 | -1.477435e-16 | 1.640353e-17 | -6.408786e-17 | 3.341314e-16 | 8.616760e-18 | -7.143117e-17 | 4.540073e-17 | 3.961530e-16 | 1.000000e+00 |\n", + "\n" + ], + "text/plain": [ + " [,1] [,2] [,3] [,4] [,5] \n", + " [1,] 1.000000e+00 -2.376712e-17 -4.532215e-17 7.709391e-18 -2.544861e-17\n", + " [2,] -2.376712e-17 1.000000e+00 -3.608357e-16 8.285730e-17 7.161377e-17\n", + " [3,] -4.532215e-17 -3.608357e-16 1.000000e+00 5.634661e-16 2.059806e-16\n", + " [4,] 7.709391e-18 8.285730e-17 5.634661e-16 1.000000e+00 4.226177e-17\n", + " [5,] -2.544861e-17 7.161377e-17 2.059806e-16 4.226177e-17 1.000000e+00\n", + " [6,] 4.497989e-17 9.022418e-17 2.840875e-16 2.411129e-17 -6.312528e-18\n", + " [7,] -6.943038e-18 3.119875e-17 -8.606243e-18 1.794414e-16 9.834252e-17\n", + " [8,] -7.856338e-18 -1.446241e-18 -6.143648e-17 1.749805e-16 -2.776319e-17\n", + " [9,] 4.726281e-17 -2.471442e-16 -4.660828e-16 -8.462036e-19 4.508926e-17\n", + "[10,] 2.437621e-17 -3.232146e-17 2.182021e-16 5.707031e-17 -1.209551e-16\n", + "[11,] -6.790075e-17 -1.547566e-16 -4.225198e-16 -4.641950e-17 -8.130136e-17\n", + "[12,] 1.990144e-17 -8.320200e-17 -2.125050e-16 -1.477435e-16 1.640353e-17\n", + " [,6] [,7] [,8] [,9] [,10] \n", + " [1,] 4.497989e-17 -6.943038e-18 -7.856338e-18 4.726281e-17 2.437621e-17\n", + " [2,] 9.022418e-17 3.119875e-17 -1.446241e-18 -2.471442e-16 -3.232146e-17\n", + " [3,] 2.840875e-16 -8.606243e-18 -6.143648e-17 -4.660828e-16 2.182021e-16\n", + " [4,] 2.411129e-17 1.794414e-16 1.749805e-16 -8.462036e-19 5.707031e-17\n", + " [5,] -6.312528e-18 9.834252e-17 -2.776319e-17 4.508926e-17 -1.209551e-16\n", + " [6,] 1.000000e+00 -2.100893e-17 -2.455649e-16 1.915513e-16 5.788254e-17\n", + " [7,] -2.100893e-17 1.000000e+00 -1.247482e-16 -9.546826e-17 1.924728e-16\n", + " [8,] -2.455649e-16 -1.247482e-16 1.000000e+00 -1.479527e-16 -1.293313e-17\n", + " [9,] 1.915513e-16 -9.546826e-17 -1.479527e-16 1.000000e+00 -4.866700e-17\n", + "[10,] 5.788254e-17 1.924728e-16 -1.293313e-17 -4.866700e-17 1.000000e+00\n", + "[11,] -1.131384e-16 -3.674620e-16 2.238509e-16 -2.091644e-16 -3.229331e-16\n", + "[12,] -6.408786e-17 3.341314e-16 8.616760e-18 -7.143117e-17 4.540073e-17\n", + " [,11] [,12] \n", + " [1,] -6.790075e-17 1.990144e-17\n", + " [2,] -1.547566e-16 -8.320200e-17\n", + " [3,] -4.225198e-16 -2.125050e-16\n", + " [4,] -4.641950e-17 -1.477435e-16\n", + " [5,] -8.130136e-17 1.640353e-17\n", + " [6,] -1.131384e-16 -6.408786e-17\n", + " [7,] -3.674620e-16 3.341314e-16\n", + " [8,] 2.238509e-16 8.616760e-18\n", + " [9,] -2.091644e-16 -7.143117e-17\n", + "[10,] -3.229331e-16 4.540073e-17\n", + "[11,] 1.000000e+00 3.961530e-16\n", + "[12,] 3.961530e-16 1.000000e+00" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Orthogonal matrix P whose columns contain the eigenvectors of the PCA\n", + "P <- acp$svd$V\n", + "P\n", + "t(P) %*% P" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here the data are ordered, hence we can visualize the eigenvectors as functions." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "Plot with title “Comp. 4”" + ] + }, + "metadata": { + "image/png": { + "height": 300, + "width": 900 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "options(repr.plot.width = 15, repr.plot.height = 5)\n", + "par(mfrow = c(1, 4))\n", + "for (i in 1:4){\n", + " plot(acp$svd$V[, i], type = \"o\", main = paste(\"Comp. \", i), xlab = \"Time\", ylab = \"\",\n", + " ylim = c(-0.6, 0.6), col = \"blue\")\n", + " abline(h = 0, lty = \"dotted\")\n", + "}" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** Interpret the first 2 principal axis" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The first axis" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** We plot below the \"principal components\", i.e. the coordinates of the individuals in the eigenvector basis (matrix C = XP). Can you confirm your interpretation?" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 300, + "width": 300 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "options(repr.plot.width = 5, repr.plot.height = 5)\n", + "plot(acp)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** We print below the principal components. Check the consistency with the previous graph." + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 36 × 12 of type dbl
Dim.1Dim.2Dim.3Dim.4Dim.5Dim.6Dim.7Dim.8Dim.9Dim.10Dim.11Dim.12
ajac11.0448576-1.08536070-1.00163260-0.22755360 0.06868048 0.091940200-0.171994141-0.2957611854-0.143743849-0.036105540-0.016784783 0.051638757
ange-1.0171737-1.52135498 0.29612851 0.10490866-0.21428230 0.054427138-0.124806977-0.0644132217-0.057382131-0.023742804 0.001333575-0.034577514
ango 1.2694332-0.86210627 0.60066214-0.34093425 0.08624445 0.102909603 0.345554629 0.2880026527-0.034819957-0.029439657-0.019228436 0.044385375
besa-5.7393567 1.76877859-0.15722618-0.18852573 0.30475204-0.102866058-0.109313142-0.0472966701 0.047828346 0.064210832-0.006856739-0.005736826
biar 7.2744138-3.71351618 0.38740941-0.62697609 0.22122605-0.138918518-0.069414946 0.0781834112 0.100593207-0.054997048 0.114581900-0.006145411
bord 5.8446125 0.56067466 1.13305471-0.38788270 0.24672620 0.157033088 0.112547383-0.2812464481 0.029114087 0.024449276-0.032939699-0.015472463
bour-1.8935417 0.78770707 0.38387235 0.14104459-0.05806007 0.049295107 0.003944016-0.0702093421-0.007323005 0.022175977 0.027533570 0.035162860
bres-2.0611236-7.75380777-0.14858475 0.13073935 0.11207208-0.257388992-0.138028058 0.0641035001 0.133172521 0.075293500-0.136141774 0.018498488
caen-3.5589603-4.17121784-0.53567622-0.11138534-0.09147200 0.183265110 0.184705006 0.0159147191-0.039361152 0.022021462 0.051334197-0.038356298
cler-2.4724663 0.89882997 0.08234024-0.13939058-0.24799094-0.194329978 0.164070810-0.0550776906-0.087705611 0.005703212-0.023587532-0.012690473
dijo-4.2988268 2.82224631 0.36262849-0.03307653 0.11747147 0.044095940-0.061549892-0.0152069013-0.047151450 0.027196317-0.022983559-0.011394267
embr-7.6842730 2.62264285-0.68548330-0.85732721-0.39080783 0.320927604-0.138703365 0.0814547887 0.188135869 0.081696452 0.019398105 0.012669678
gren-2.5756572 2.91166095 0.10364812-0.76675280 0.30079333-0.197011520-0.204745497 0.2117227928-0.159895849 0.001527626-0.011662899-0.021368123
lill-6.3532852-1.86347367-0.55507626 0.10532944 0.03351276-0.021903397 0.253965899-0.0814531947 0.013412095 0.058183964 0.018893219 0.001464149
limo-3.5384880-0.85203066 0.53478521 0.18925754-0.27596670-0.118504628-0.311995370 0.0251068151-0.068704373-0.011253232 0.044110465 0.010470737
lyon-1.3125651 3.22905179 0.13893316 0.03432913 0.02569431-0.226113608 0.023969440 0.0341899794 0.041756415-0.036098933 0.058165656 0.038413550
mars 8.8440847 2.83599325-0.39145003 0.32606566 0.16890121-0.185336947 0.059119017-0.0558880761 0.008303856 0.158284359 0.090037689 0.027785589
metz-6.1676595 1.67406228-0.27127618 0.12222370 0.24266709 0.051844408 0.065036286 0.0002001693 0.184517986-0.095665736-0.054995588 0.026002844
momp 7.7454858 1.99578462-0.17431994 0.05575388-0.07761435-0.034650149-0.010971816 0.1249354104 0.035613727 0.053601311-0.199103043 0.004917755
nanc-7.6160600 1.49745368-0.20966921 0.53590584 0.11522082-0.035926208-0.044723876 0.0174171397 0.082065817-0.124804668 0.019750592-0.026861088
nant 0.4422758-1.96678605 0.46255813 0.14386841-0.05645630 0.104913505-0.122611863-0.0252586528 0.188396717 0.005298340 0.018020904 0.008512728
nice11.2899664 0.14933405-0.27925092-0.12338989 0.17389401 0.349379017-0.045281151 0.1292047347-0.083701368-0.096552555-0.010971398 0.013225436
nime 8.6177589 3.04232600-0.05626549 0.22568651-0.49778526 0.011842538 0.013967820 0.0697994844 0.038133010 0.009976960-0.007467241 0.013640252
orle-3.7885208-0.37405892-0.08666993 0.05435985-0.02792200 0.014003158 0.016021176-0.0669245075-0.086266330-0.071593870-0.027786716 0.029312888
pari-1.6031548 0.04961457 0.50225083 0.45386888 0.15325134 0.131746890-0.010804587-0.0345034546 0.004420612 0.087440328 0.036783273 0.075116190
perp12.5222378 1.37496688 0.15110140 0.39106165-0.18724987-0.069794906 0.118152290 0.1223042380 0.007883657 0.057472991-0.039537569-0.047191779
poit-1.1181624-0.80568355 0.22840873-0.13585476-0.18376827-0.107147805 0.045215148-0.1087271849-0.020540796-0.046411494 0.001083429 0.038104364
reim-5.4823561 0.15490894-0.29104933 0.34870940 0.03879799-0.044654375 0.013545368 0.0483446884-0.099838146-0.073410235-0.002136063 0.055225229
renn-1.3436125-3.19768449 0.33494739 0.08152366-0.30528092 0.117437528-0.028352453 0.0080783516-0.077347130-0.135680916-0.030634357-0.011274366
roue-4.2049129-2.36056098-0.08195085 0.21033813-0.01476141 0.149232725 0.053218908 0.1561983417-0.080789346 0.145855942 0.105368235-0.008147897
stqu-6.0534679-1.04874899-0.37271588-0.21583836 0.22659488-0.079695248 0.161661205-0.0518691964-0.098182382 0.029148294-0.054410405-0.033797968
stra-7.0734470 3.04966165 0.06602265 0.49195181 0.25219443 0.220488707-0.023500375-0.0313469038 0.013460101-0.066382628-0.018760594-0.063491451
toul13.0142475-1.30991813-0.42677777 0.36293648 0.24818221-0.004472559-0.078852470 0.0876001700 0.068898253-0.063710394 0.071147450-0.053585710
tlse 3.6519462 0.90512074-0.06664085-0.41531388-0.20679524-0.185020056 0.178155737-0.2193608903 0.123867841-0.075759558 0.024958098-0.034476275
tour-1.3791642-0.23719557 0.26580126 0.06986492-0.05152641 0.099004992-0.121856953-0.1080383597-0.071889270 0.165039460-0.031816965-0.054898936
vich-3.2250845 0.79268591-0.24283702-0.00952577-0.24913729-0.250052307 0.004656795 0.0498204931-0.044931971-0.052967336 0.045305002-0.025080024
\n" + ], + "text/latex": [ + "A matrix: 36 × 12 of type dbl\n", + "\\begin{tabular}{r|llllllllllll}\n", + " & Dim.1 & Dim.2 & Dim.3 & Dim.4 & Dim.5 & Dim.6 & Dim.7 & Dim.8 & Dim.9 & Dim.10 & Dim.11 & Dim.12\\\\\n", + "\\hline\n", + "\tajac & 11.0448576 & -1.08536070 & -1.00163260 & -0.22755360 & 0.06868048 & 0.091940200 & -0.171994141 & -0.2957611854 & -0.143743849 & -0.036105540 & -0.016784783 & 0.051638757\\\\\n", + "\tange & -1.0171737 & -1.52135498 & 0.29612851 & 0.10490866 & -0.21428230 & 0.054427138 & -0.124806977 & -0.0644132217 & -0.057382131 & -0.023742804 & 0.001333575 & -0.034577514\\\\\n", + "\tango & 1.2694332 & -0.86210627 & 0.60066214 & -0.34093425 & 0.08624445 & 0.102909603 & 0.345554629 & 0.2880026527 & -0.034819957 & -0.029439657 & -0.019228436 & 0.044385375\\\\\n", + "\tbesa & -5.7393567 & 1.76877859 & -0.15722618 & -0.18852573 & 0.30475204 & -0.102866058 & -0.109313142 & -0.0472966701 & 0.047828346 & 0.064210832 & -0.006856739 & -0.005736826\\\\\n", + "\tbiar & 7.2744138 & -3.71351618 & 0.38740941 & -0.62697609 & 0.22122605 & -0.138918518 & -0.069414946 & 0.0781834112 & 0.100593207 & -0.054997048 & 0.114581900 & -0.006145411\\\\\n", + "\tbord & 5.8446125 & 0.56067466 & 1.13305471 & -0.38788270 & 0.24672620 & 0.157033088 & 0.112547383 & -0.2812464481 & 0.029114087 & 0.024449276 & -0.032939699 & -0.015472463\\\\\n", + "\tbour & -1.8935417 & 0.78770707 & 0.38387235 & 0.14104459 & -0.05806007 & 0.049295107 & 0.003944016 & -0.0702093421 & -0.007323005 & 0.022175977 & 0.027533570 & 0.035162860\\\\\n", + "\tbres & -2.0611236 & -7.75380777 & -0.14858475 & 0.13073935 & 0.11207208 & -0.257388992 & -0.138028058 & 0.0641035001 & 0.133172521 & 0.075293500 & -0.136141774 & 0.018498488\\\\\n", + "\tcaen & -3.5589603 & -4.17121784 & -0.53567622 & -0.11138534 & -0.09147200 & 0.183265110 & 0.184705006 & 0.0159147191 & -0.039361152 & 0.022021462 & 0.051334197 & -0.038356298\\\\\n", + "\tcler & -2.4724663 & 0.89882997 & 0.08234024 & -0.13939058 & -0.24799094 & -0.194329978 & 0.164070810 & -0.0550776906 & -0.087705611 & 0.005703212 & -0.023587532 & -0.012690473\\\\\n", + "\tdijo & -4.2988268 & 2.82224631 & 0.36262849 & -0.03307653 & 0.11747147 & 0.044095940 & -0.061549892 & -0.0152069013 & -0.047151450 & 0.027196317 & -0.022983559 & -0.011394267\\\\\n", + "\tembr & -7.6842730 & 2.62264285 & -0.68548330 & -0.85732721 & -0.39080783 & 0.320927604 & -0.138703365 & 0.0814547887 & 0.188135869 & 0.081696452 & 0.019398105 & 0.012669678\\\\\n", + "\tgren & -2.5756572 & 2.91166095 & 0.10364812 & -0.76675280 & 0.30079333 & -0.197011520 & -0.204745497 & 0.2117227928 & -0.159895849 & 0.001527626 & -0.011662899 & -0.021368123\\\\\n", + "\tlill & -6.3532852 & -1.86347367 & -0.55507626 & 0.10532944 & 0.03351276 & -0.021903397 & 0.253965899 & -0.0814531947 & 0.013412095 & 0.058183964 & 0.018893219 & 0.001464149\\\\\n", + "\tlimo & -3.5384880 & -0.85203066 & 0.53478521 & 0.18925754 & -0.27596670 & -0.118504628 & -0.311995370 & 0.0251068151 & -0.068704373 & -0.011253232 & 0.044110465 & 0.010470737\\\\\n", + "\tlyon & -1.3125651 & 3.22905179 & 0.13893316 & 0.03432913 & 0.02569431 & -0.226113608 & 0.023969440 & 0.0341899794 & 0.041756415 & -0.036098933 & 0.058165656 & 0.038413550\\\\\n", + "\tmars & 8.8440847 & 2.83599325 & -0.39145003 & 0.32606566 & 0.16890121 & -0.185336947 & 0.059119017 & -0.0558880761 & 0.008303856 & 0.158284359 & 0.090037689 & 0.027785589\\\\\n", + "\tmetz & -6.1676595 & 1.67406228 & -0.27127618 & 0.12222370 & 0.24266709 & 0.051844408 & 0.065036286 & 0.0002001693 & 0.184517986 & -0.095665736 & -0.054995588 & 0.026002844\\\\\n", + "\tmomp & 7.7454858 & 1.99578462 & -0.17431994 & 0.05575388 & -0.07761435 & -0.034650149 & -0.010971816 & 0.1249354104 & 0.035613727 & 0.053601311 & -0.199103043 & 0.004917755\\\\\n", + "\tnanc & -7.6160600 & 1.49745368 & -0.20966921 & 0.53590584 & 0.11522082 & -0.035926208 & -0.044723876 & 0.0174171397 & 0.082065817 & -0.124804668 & 0.019750592 & -0.026861088\\\\\n", + "\tnant & 0.4422758 & -1.96678605 & 0.46255813 & 0.14386841 & -0.05645630 & 0.104913505 & -0.122611863 & -0.0252586528 & 0.188396717 & 0.005298340 & 0.018020904 & 0.008512728\\\\\n", + "\tnice & 11.2899664 & 0.14933405 & -0.27925092 & -0.12338989 & 0.17389401 & 0.349379017 & -0.045281151 & 0.1292047347 & -0.083701368 & -0.096552555 & -0.010971398 & 0.013225436\\\\\n", + "\tnime & 8.6177589 & 3.04232600 & -0.05626549 & 0.22568651 & -0.49778526 & 0.011842538 & 0.013967820 & 0.0697994844 & 0.038133010 & 0.009976960 & -0.007467241 & 0.013640252\\\\\n", + "\torle & -3.7885208 & -0.37405892 & -0.08666993 & 0.05435985 & -0.02792200 & 0.014003158 & 0.016021176 & -0.0669245075 & -0.086266330 & -0.071593870 & -0.027786716 & 0.029312888\\\\\n", + "\tpari & -1.6031548 & 0.04961457 & 0.50225083 & 0.45386888 & 0.15325134 & 0.131746890 & -0.010804587 & -0.0345034546 & 0.004420612 & 0.087440328 & 0.036783273 & 0.075116190\\\\\n", + "\tperp & 12.5222378 & 1.37496688 & 0.15110140 & 0.39106165 & -0.18724987 & -0.069794906 & 0.118152290 & 0.1223042380 & 0.007883657 & 0.057472991 & -0.039537569 & -0.047191779\\\\\n", + "\tpoit & -1.1181624 & -0.80568355 & 0.22840873 & -0.13585476 & -0.18376827 & -0.107147805 & 0.045215148 & -0.1087271849 & -0.020540796 & -0.046411494 & 0.001083429 & 0.038104364\\\\\n", + "\treim & -5.4823561 & 0.15490894 & -0.29104933 & 0.34870940 & 0.03879799 & -0.044654375 & 0.013545368 & 0.0483446884 & -0.099838146 & -0.073410235 & -0.002136063 & 0.055225229\\\\\n", + "\trenn & -1.3436125 & -3.19768449 & 0.33494739 & 0.08152366 & -0.30528092 & 0.117437528 & -0.028352453 & 0.0080783516 & -0.077347130 & -0.135680916 & -0.030634357 & -0.011274366\\\\\n", + "\troue & -4.2049129 & -2.36056098 & -0.08195085 & 0.21033813 & -0.01476141 & 0.149232725 & 0.053218908 & 0.1561983417 & -0.080789346 & 0.145855942 & 0.105368235 & -0.008147897\\\\\n", + "\tstqu & -6.0534679 & -1.04874899 & -0.37271588 & -0.21583836 & 0.22659488 & -0.079695248 & 0.161661205 & -0.0518691964 & -0.098182382 & 0.029148294 & -0.054410405 & -0.033797968\\\\\n", + "\tstra & -7.0734470 & 3.04966165 & 0.06602265 & 0.49195181 & 0.25219443 & 0.220488707 & -0.023500375 & -0.0313469038 & 0.013460101 & -0.066382628 & -0.018760594 & -0.063491451\\\\\n", + "\ttoul & 13.0142475 & -1.30991813 & -0.42677777 & 0.36293648 & 0.24818221 & -0.004472559 & -0.078852470 & 0.0876001700 & 0.068898253 & -0.063710394 & 0.071147450 & -0.053585710\\\\\n", + "\ttlse & 3.6519462 & 0.90512074 & -0.06664085 & -0.41531388 & -0.20679524 & -0.185020056 & 0.178155737 & -0.2193608903 & 0.123867841 & -0.075759558 & 0.024958098 & -0.034476275\\\\\n", + "\ttour & -1.3791642 & -0.23719557 & 0.26580126 & 0.06986492 & -0.05152641 & 0.099004992 & -0.121856953 & -0.1080383597 & -0.071889270 & 0.165039460 & -0.031816965 & -0.054898936\\\\\n", + "\tvich & -3.2250845 & 0.79268591 & -0.24283702 & -0.00952577 & -0.24913729 & -0.250052307 & 0.004656795 & 0.0498204931 & -0.044931971 & -0.052967336 & 0.045305002 & -0.025080024\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 36 × 12 of type dbl\n", + "\n", + "| | Dim.1 | Dim.2 | Dim.3 | Dim.4 | Dim.5 | Dim.6 | Dim.7 | Dim.8 | Dim.9 | Dim.10 | Dim.11 | Dim.12 |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| ajac | 11.0448576 | -1.08536070 | -1.00163260 | -0.22755360 | 0.06868048 | 0.091940200 | -0.171994141 | -0.2957611854 | -0.143743849 | -0.036105540 | -0.016784783 | 0.051638757 |\n", + "| ange | -1.0171737 | -1.52135498 | 0.29612851 | 0.10490866 | -0.21428230 | 0.054427138 | -0.124806977 | -0.0644132217 | -0.057382131 | -0.023742804 | 0.001333575 | -0.034577514 |\n", + "| ango | 1.2694332 | -0.86210627 | 0.60066214 | -0.34093425 | 0.08624445 | 0.102909603 | 0.345554629 | 0.2880026527 | -0.034819957 | -0.029439657 | -0.019228436 | 0.044385375 |\n", + "| besa | -5.7393567 | 1.76877859 | -0.15722618 | -0.18852573 | 0.30475204 | -0.102866058 | -0.109313142 | -0.0472966701 | 0.047828346 | 0.064210832 | -0.006856739 | -0.005736826 |\n", + "| biar | 7.2744138 | -3.71351618 | 0.38740941 | -0.62697609 | 0.22122605 | -0.138918518 | -0.069414946 | 0.0781834112 | 0.100593207 | -0.054997048 | 0.114581900 | -0.006145411 |\n", + "| bord | 5.8446125 | 0.56067466 | 1.13305471 | -0.38788270 | 0.24672620 | 0.157033088 | 0.112547383 | -0.2812464481 | 0.029114087 | 0.024449276 | -0.032939699 | -0.015472463 |\n", + "| bour | -1.8935417 | 0.78770707 | 0.38387235 | 0.14104459 | -0.05806007 | 0.049295107 | 0.003944016 | -0.0702093421 | -0.007323005 | 0.022175977 | 0.027533570 | 0.035162860 |\n", + "| bres | -2.0611236 | -7.75380777 | -0.14858475 | 0.13073935 | 0.11207208 | -0.257388992 | -0.138028058 | 0.0641035001 | 0.133172521 | 0.075293500 | -0.136141774 | 0.018498488 |\n", + "| caen | -3.5589603 | -4.17121784 | -0.53567622 | -0.11138534 | -0.09147200 | 0.183265110 | 0.184705006 | 0.0159147191 | -0.039361152 | 0.022021462 | 0.051334197 | -0.038356298 |\n", + "| cler | -2.4724663 | 0.89882997 | 0.08234024 | -0.13939058 | -0.24799094 | -0.194329978 | 0.164070810 | -0.0550776906 | -0.087705611 | 0.005703212 | -0.023587532 | -0.012690473 |\n", + "| dijo | -4.2988268 | 2.82224631 | 0.36262849 | -0.03307653 | 0.11747147 | 0.044095940 | -0.061549892 | -0.0152069013 | -0.047151450 | 0.027196317 | -0.022983559 | -0.011394267 |\n", + "| embr | -7.6842730 | 2.62264285 | -0.68548330 | -0.85732721 | -0.39080783 | 0.320927604 | -0.138703365 | 0.0814547887 | 0.188135869 | 0.081696452 | 0.019398105 | 0.012669678 |\n", + "| gren | -2.5756572 | 2.91166095 | 0.10364812 | -0.76675280 | 0.30079333 | -0.197011520 | -0.204745497 | 0.2117227928 | -0.159895849 | 0.001527626 | -0.011662899 | -0.021368123 |\n", + "| lill | -6.3532852 | -1.86347367 | -0.55507626 | 0.10532944 | 0.03351276 | -0.021903397 | 0.253965899 | -0.0814531947 | 0.013412095 | 0.058183964 | 0.018893219 | 0.001464149 |\n", + "| limo | -3.5384880 | -0.85203066 | 0.53478521 | 0.18925754 | -0.27596670 | -0.118504628 | -0.311995370 | 0.0251068151 | -0.068704373 | -0.011253232 | 0.044110465 | 0.010470737 |\n", + "| lyon | -1.3125651 | 3.22905179 | 0.13893316 | 0.03432913 | 0.02569431 | -0.226113608 | 0.023969440 | 0.0341899794 | 0.041756415 | -0.036098933 | 0.058165656 | 0.038413550 |\n", + "| mars | 8.8440847 | 2.83599325 | -0.39145003 | 0.32606566 | 0.16890121 | -0.185336947 | 0.059119017 | -0.0558880761 | 0.008303856 | 0.158284359 | 0.090037689 | 0.027785589 |\n", + "| metz | -6.1676595 | 1.67406228 | -0.27127618 | 0.12222370 | 0.24266709 | 0.051844408 | 0.065036286 | 0.0002001693 | 0.184517986 | -0.095665736 | -0.054995588 | 0.026002844 |\n", + "| momp | 7.7454858 | 1.99578462 | -0.17431994 | 0.05575388 | -0.07761435 | -0.034650149 | -0.010971816 | 0.1249354104 | 0.035613727 | 0.053601311 | -0.199103043 | 0.004917755 |\n", + "| nanc | -7.6160600 | 1.49745368 | -0.20966921 | 0.53590584 | 0.11522082 | -0.035926208 | -0.044723876 | 0.0174171397 | 0.082065817 | -0.124804668 | 0.019750592 | -0.026861088 |\n", + "| nant | 0.4422758 | -1.96678605 | 0.46255813 | 0.14386841 | -0.05645630 | 0.104913505 | -0.122611863 | -0.0252586528 | 0.188396717 | 0.005298340 | 0.018020904 | 0.008512728 |\n", + "| nice | 11.2899664 | 0.14933405 | -0.27925092 | -0.12338989 | 0.17389401 | 0.349379017 | -0.045281151 | 0.1292047347 | -0.083701368 | -0.096552555 | -0.010971398 | 0.013225436 |\n", + "| nime | 8.6177589 | 3.04232600 | -0.05626549 | 0.22568651 | -0.49778526 | 0.011842538 | 0.013967820 | 0.0697994844 | 0.038133010 | 0.009976960 | -0.007467241 | 0.013640252 |\n", + "| orle | -3.7885208 | -0.37405892 | -0.08666993 | 0.05435985 | -0.02792200 | 0.014003158 | 0.016021176 | -0.0669245075 | -0.086266330 | -0.071593870 | -0.027786716 | 0.029312888 |\n", + "| pari | -1.6031548 | 0.04961457 | 0.50225083 | 0.45386888 | 0.15325134 | 0.131746890 | -0.010804587 | -0.0345034546 | 0.004420612 | 0.087440328 | 0.036783273 | 0.075116190 |\n", + "| perp | 12.5222378 | 1.37496688 | 0.15110140 | 0.39106165 | -0.18724987 | -0.069794906 | 0.118152290 | 0.1223042380 | 0.007883657 | 0.057472991 | -0.039537569 | -0.047191779 |\n", + "| poit | -1.1181624 | -0.80568355 | 0.22840873 | -0.13585476 | -0.18376827 | -0.107147805 | 0.045215148 | -0.1087271849 | -0.020540796 | -0.046411494 | 0.001083429 | 0.038104364 |\n", + "| reim | -5.4823561 | 0.15490894 | -0.29104933 | 0.34870940 | 0.03879799 | -0.044654375 | 0.013545368 | 0.0483446884 | -0.099838146 | -0.073410235 | -0.002136063 | 0.055225229 |\n", + "| renn | -1.3436125 | -3.19768449 | 0.33494739 | 0.08152366 | -0.30528092 | 0.117437528 | -0.028352453 | 0.0080783516 | -0.077347130 | -0.135680916 | -0.030634357 | -0.011274366 |\n", + "| roue | -4.2049129 | -2.36056098 | -0.08195085 | 0.21033813 | -0.01476141 | 0.149232725 | 0.053218908 | 0.1561983417 | -0.080789346 | 0.145855942 | 0.105368235 | -0.008147897 |\n", + "| stqu | -6.0534679 | -1.04874899 | -0.37271588 | -0.21583836 | 0.22659488 | -0.079695248 | 0.161661205 | -0.0518691964 | -0.098182382 | 0.029148294 | -0.054410405 | -0.033797968 |\n", + "| stra | -7.0734470 | 3.04966165 | 0.06602265 | 0.49195181 | 0.25219443 | 0.220488707 | -0.023500375 | -0.0313469038 | 0.013460101 | -0.066382628 | -0.018760594 | -0.063491451 |\n", + "| toul | 13.0142475 | -1.30991813 | -0.42677777 | 0.36293648 | 0.24818221 | -0.004472559 | -0.078852470 | 0.0876001700 | 0.068898253 | -0.063710394 | 0.071147450 | -0.053585710 |\n", + "| tlse | 3.6519462 | 0.90512074 | -0.06664085 | -0.41531388 | -0.20679524 | -0.185020056 | 0.178155737 | -0.2193608903 | 0.123867841 | -0.075759558 | 0.024958098 | -0.034476275 |\n", + "| tour | -1.3791642 | -0.23719557 | 0.26580126 | 0.06986492 | -0.05152641 | 0.099004992 | -0.121856953 | -0.1080383597 | -0.071889270 | 0.165039460 | -0.031816965 | -0.054898936 |\n", + "| vich | -3.2250845 | 0.79268591 | -0.24283702 | -0.00952577 | -0.24913729 | -0.250052307 | 0.004656795 | 0.0498204931 | -0.044931971 | -0.052967336 | 0.045305002 | -0.025080024 |\n", + "\n" + ], + "text/plain": [ + " Dim.1 Dim.2 Dim.3 Dim.4 Dim.5 Dim.6 \n", + "ajac 11.0448576 -1.08536070 -1.00163260 -0.22755360 0.06868048 0.091940200\n", + "ange -1.0171737 -1.52135498 0.29612851 0.10490866 -0.21428230 0.054427138\n", + "ango 1.2694332 -0.86210627 0.60066214 -0.34093425 0.08624445 0.102909603\n", + "besa -5.7393567 1.76877859 -0.15722618 -0.18852573 0.30475204 -0.102866058\n", + "biar 7.2744138 -3.71351618 0.38740941 -0.62697609 0.22122605 -0.138918518\n", + "bord 5.8446125 0.56067466 1.13305471 -0.38788270 0.24672620 0.157033088\n", + "bour -1.8935417 0.78770707 0.38387235 0.14104459 -0.05806007 0.049295107\n", + "bres -2.0611236 -7.75380777 -0.14858475 0.13073935 0.11207208 -0.257388992\n", + "caen -3.5589603 -4.17121784 -0.53567622 -0.11138534 -0.09147200 0.183265110\n", + "cler -2.4724663 0.89882997 0.08234024 -0.13939058 -0.24799094 -0.194329978\n", + "dijo -4.2988268 2.82224631 0.36262849 -0.03307653 0.11747147 0.044095940\n", + "embr -7.6842730 2.62264285 -0.68548330 -0.85732721 -0.39080783 0.320927604\n", + "gren -2.5756572 2.91166095 0.10364812 -0.76675280 0.30079333 -0.197011520\n", + "lill -6.3532852 -1.86347367 -0.55507626 0.10532944 0.03351276 -0.021903397\n", + "limo -3.5384880 -0.85203066 0.53478521 0.18925754 -0.27596670 -0.118504628\n", + "lyon -1.3125651 3.22905179 0.13893316 0.03432913 0.02569431 -0.226113608\n", + "mars 8.8440847 2.83599325 -0.39145003 0.32606566 0.16890121 -0.185336947\n", + "metz -6.1676595 1.67406228 -0.27127618 0.12222370 0.24266709 0.051844408\n", + "momp 7.7454858 1.99578462 -0.17431994 0.05575388 -0.07761435 -0.034650149\n", + "nanc -7.6160600 1.49745368 -0.20966921 0.53590584 0.11522082 -0.035926208\n", + "nant 0.4422758 -1.96678605 0.46255813 0.14386841 -0.05645630 0.104913505\n", + "nice 11.2899664 0.14933405 -0.27925092 -0.12338989 0.17389401 0.349379017\n", + "nime 8.6177589 3.04232600 -0.05626549 0.22568651 -0.49778526 0.011842538\n", + "orle -3.7885208 -0.37405892 -0.08666993 0.05435985 -0.02792200 0.014003158\n", + "pari -1.6031548 0.04961457 0.50225083 0.45386888 0.15325134 0.131746890\n", + "perp 12.5222378 1.37496688 0.15110140 0.39106165 -0.18724987 -0.069794906\n", + "poit -1.1181624 -0.80568355 0.22840873 -0.13585476 -0.18376827 -0.107147805\n", + "reim -5.4823561 0.15490894 -0.29104933 0.34870940 0.03879799 -0.044654375\n", + "renn -1.3436125 -3.19768449 0.33494739 0.08152366 -0.30528092 0.117437528\n", + "roue -4.2049129 -2.36056098 -0.08195085 0.21033813 -0.01476141 0.149232725\n", + "stqu -6.0534679 -1.04874899 -0.37271588 -0.21583836 0.22659488 -0.079695248\n", + "stra -7.0734470 3.04966165 0.06602265 0.49195181 0.25219443 0.220488707\n", + "toul 13.0142475 -1.30991813 -0.42677777 0.36293648 0.24818221 -0.004472559\n", + "tlse 3.6519462 0.90512074 -0.06664085 -0.41531388 -0.20679524 -0.185020056\n", + "tour -1.3791642 -0.23719557 0.26580126 0.06986492 -0.05152641 0.099004992\n", + "vich -3.2250845 0.79268591 -0.24283702 -0.00952577 -0.24913729 -0.250052307\n", + " Dim.7 Dim.8 Dim.9 Dim.10 Dim.11 \n", + "ajac -0.171994141 -0.2957611854 -0.143743849 -0.036105540 -0.016784783\n", + "ange -0.124806977 -0.0644132217 -0.057382131 -0.023742804 0.001333575\n", + "ango 0.345554629 0.2880026527 -0.034819957 -0.029439657 -0.019228436\n", + "besa -0.109313142 -0.0472966701 0.047828346 0.064210832 -0.006856739\n", + "biar -0.069414946 0.0781834112 0.100593207 -0.054997048 0.114581900\n", + "bord 0.112547383 -0.2812464481 0.029114087 0.024449276 -0.032939699\n", + "bour 0.003944016 -0.0702093421 -0.007323005 0.022175977 0.027533570\n", + "bres -0.138028058 0.0641035001 0.133172521 0.075293500 -0.136141774\n", + "caen 0.184705006 0.0159147191 -0.039361152 0.022021462 0.051334197\n", + "cler 0.164070810 -0.0550776906 -0.087705611 0.005703212 -0.023587532\n", + "dijo -0.061549892 -0.0152069013 -0.047151450 0.027196317 -0.022983559\n", + "embr -0.138703365 0.0814547887 0.188135869 0.081696452 0.019398105\n", + "gren -0.204745497 0.2117227928 -0.159895849 0.001527626 -0.011662899\n", + "lill 0.253965899 -0.0814531947 0.013412095 0.058183964 0.018893219\n", + "limo -0.311995370 0.0251068151 -0.068704373 -0.011253232 0.044110465\n", + "lyon 0.023969440 0.0341899794 0.041756415 -0.036098933 0.058165656\n", + "mars 0.059119017 -0.0558880761 0.008303856 0.158284359 0.090037689\n", + "metz 0.065036286 0.0002001693 0.184517986 -0.095665736 -0.054995588\n", + "momp -0.010971816 0.1249354104 0.035613727 0.053601311 -0.199103043\n", + "nanc -0.044723876 0.0174171397 0.082065817 -0.124804668 0.019750592\n", + "nant -0.122611863 -0.0252586528 0.188396717 0.005298340 0.018020904\n", + "nice -0.045281151 0.1292047347 -0.083701368 -0.096552555 -0.010971398\n", + "nime 0.013967820 0.0697994844 0.038133010 0.009976960 -0.007467241\n", + "orle 0.016021176 -0.0669245075 -0.086266330 -0.071593870 -0.027786716\n", + "pari -0.010804587 -0.0345034546 0.004420612 0.087440328 0.036783273\n", + "perp 0.118152290 0.1223042380 0.007883657 0.057472991 -0.039537569\n", + "poit 0.045215148 -0.1087271849 -0.020540796 -0.046411494 0.001083429\n", + "reim 0.013545368 0.0483446884 -0.099838146 -0.073410235 -0.002136063\n", + "renn -0.028352453 0.0080783516 -0.077347130 -0.135680916 -0.030634357\n", + "roue 0.053218908 0.1561983417 -0.080789346 0.145855942 0.105368235\n", + "stqu 0.161661205 -0.0518691964 -0.098182382 0.029148294 -0.054410405\n", + "stra -0.023500375 -0.0313469038 0.013460101 -0.066382628 -0.018760594\n", + "toul -0.078852470 0.0876001700 0.068898253 -0.063710394 0.071147450\n", + "tlse 0.178155737 -0.2193608903 0.123867841 -0.075759558 0.024958098\n", + "tour -0.121856953 -0.1080383597 -0.071889270 0.165039460 -0.031816965\n", + "vich 0.004656795 0.0498204931 -0.044931971 -0.052967336 0.045305002\n", + " Dim.12 \n", + "ajac 0.051638757\n", + "ange -0.034577514\n", + "ango 0.044385375\n", + "besa -0.005736826\n", + "biar -0.006145411\n", + "bord -0.015472463\n", + "bour 0.035162860\n", + "bres 0.018498488\n", + "caen -0.038356298\n", + "cler -0.012690473\n", + "dijo -0.011394267\n", + "embr 0.012669678\n", + "gren -0.021368123\n", + "lill 0.001464149\n", + "limo 0.010470737\n", + "lyon 0.038413550\n", + "mars 0.027785589\n", + "metz 0.026002844\n", + "momp 0.004917755\n", + "nanc -0.026861088\n", + "nant 0.008512728\n", + "nice 0.013225436\n", + "nime 0.013640252\n", + "orle 0.029312888\n", + "pari 0.075116190\n", + "perp -0.047191779\n", + "poit 0.038104364\n", + "reim 0.055225229\n", + "renn -0.011274366\n", + "roue -0.008147897\n", + "stqu -0.033797968\n", + "stra -0.063491451\n", + "toul -0.053585710\n", + "tlse -0.034476275\n", + "tour -0.054898936\n", + "vich -0.025080024" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# printing of principal components (rows of the matrix C = XP)\n", + "acp$ind$coord" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let us check that the principal variables (column of C) are orthogonal and with squared norm = inertia" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 12 × 12 of type dbl
Dim.1Dim.2Dim.3Dim.4Dim.5Dim.6Dim.7Dim.8Dim.9Dim.10Dim.11Dim.12
Dim.1 3.864073e+01-2.581938e-15-9.972337e-17 1.103754e-16-8.894330e-17-2.185132e-17 4.671479e-17-6.931111e-17 1.192584e-17 1.286406e-17 3.687372e-17 6.135229e-18
Dim.2-2.581938e-15 5.734426e+00 1.245516e-16-4.716079e-17-5.768924e-17 1.024962e-16 6.266858e-18-8.621827e-18 6.204153e-19 6.213446e-18 1.012616e-17-1.249979e-18
Dim.3-9.972337e-17 1.245516e-16 1.769490e-01-8.377616e-18 1.071124e-17 6.301925e-19 1.273209e-17 1.562159e-17-2.121116e-18 9.450468e-19 3.661360e-19-1.198128e-18
Dim.4 1.103754e-16-4.716079e-17-8.377616e-18 1.099449e-01-5.418766e-18 1.283828e-17-9.938925e-18-6.746438e-18 4.540584e-18 1.726643e-18 1.586364e-19-7.063850e-19
Dim.5-8.894330e-17-5.768924e-17 1.071124e-17-5.418766e-18 4.404247e-02-9.513874e-18-1.044240e-19-5.138828e-19-1.704327e-18 1.176166e-20-3.146122e-22-7.462723e-19
Dim.6-2.185132e-17 1.024962e-16 6.301925e-19 1.283828e-17-9.513874e-18 2.377793e-02-3.418934e-18-1.614300e-18-1.894256e-18-1.384536e-19-9.819532e-19 5.022300e-19
Dim.7 4.671479e-17 6.266858e-18 1.273209e-17-9.938925e-18-1.044240e-19-3.418934e-18 1.795150e-02-6.379985e-19 3.040361e-18 2.737444e-19-9.565369e-19 2.354684e-19
Dim.8-6.931111e-17-8.621827e-18 1.562159e-17-6.746438e-18-5.138828e-19-1.614300e-18-6.379985e-19 1.453086e-02 8.305219e-19-2.735451e-18-7.056208e-19 2.706409e-18
Dim.9 1.192584e-17 6.204153e-19-2.121116e-18 4.540584e-18-1.704327e-18-1.894256e-18 3.040361e-18 8.305219e-19 8.253533e-03 1.151941e-18-6.431219e-19-1.630327e-19
Dim.10 1.286406e-17 6.213446e-18 9.450468e-19 1.726643e-18 1.176166e-20-1.384536e-19 2.737444e-19-2.735451e-18 1.151941e-18 5.711252e-03 8.840301e-19-8.545957e-20
Dim.11 3.687372e-17 1.012616e-17 3.661360e-19 1.586364e-19-3.146122e-22-9.819532e-19-9.565369e-19-7.056208e-19-6.431219e-19 8.840301e-19 3.531043e-03 2.495087e-19
Dim.12 6.135229e-18-1.249979e-18-1.198128e-18-7.063850e-19-7.462723e-19 5.022300e-19 2.354684e-19 2.706409e-18-1.630327e-19-8.545957e-20 2.495087e-19 1.160436e-03
\n" + ], + "text/latex": [ + "A matrix: 12 × 12 of type dbl\n", + "\\begin{tabular}{r|llllllllllll}\n", + " & Dim.1 & Dim.2 & Dim.3 & Dim.4 & Dim.5 & Dim.6 & Dim.7 & Dim.8 & Dim.9 & Dim.10 & Dim.11 & Dim.12\\\\\n", + "\\hline\n", + "\tDim.1 & 3.864073e+01 & -2.581938e-15 & -9.972337e-17 & 1.103754e-16 & -8.894330e-17 & -2.185132e-17 & 4.671479e-17 & -6.931111e-17 & 1.192584e-17 & 1.286406e-17 & 3.687372e-17 & 6.135229e-18\\\\\n", + "\tDim.2 & -2.581938e-15 & 5.734426e+00 & 1.245516e-16 & -4.716079e-17 & -5.768924e-17 & 1.024962e-16 & 6.266858e-18 & -8.621827e-18 & 6.204153e-19 & 6.213446e-18 & 1.012616e-17 & -1.249979e-18\\\\\n", + "\tDim.3 & -9.972337e-17 & 1.245516e-16 & 1.769490e-01 & -8.377616e-18 & 1.071124e-17 & 6.301925e-19 & 1.273209e-17 & 1.562159e-17 & -2.121116e-18 & 9.450468e-19 & 3.661360e-19 & -1.198128e-18\\\\\n", + "\tDim.4 & 1.103754e-16 & -4.716079e-17 & -8.377616e-18 & 1.099449e-01 & -5.418766e-18 & 1.283828e-17 & -9.938925e-18 & -6.746438e-18 & 4.540584e-18 & 1.726643e-18 & 1.586364e-19 & -7.063850e-19\\\\\n", + "\tDim.5 & -8.894330e-17 & -5.768924e-17 & 1.071124e-17 & -5.418766e-18 & 4.404247e-02 & -9.513874e-18 & -1.044240e-19 & -5.138828e-19 & -1.704327e-18 & 1.176166e-20 & -3.146122e-22 & -7.462723e-19\\\\\n", + "\tDim.6 & -2.185132e-17 & 1.024962e-16 & 6.301925e-19 & 1.283828e-17 & -9.513874e-18 & 2.377793e-02 & -3.418934e-18 & -1.614300e-18 & -1.894256e-18 & -1.384536e-19 & -9.819532e-19 & 5.022300e-19\\\\\n", + "\tDim.7 & 4.671479e-17 & 6.266858e-18 & 1.273209e-17 & -9.938925e-18 & -1.044240e-19 & -3.418934e-18 & 1.795150e-02 & -6.379985e-19 & 3.040361e-18 & 2.737444e-19 & -9.565369e-19 & 2.354684e-19\\\\\n", + "\tDim.8 & -6.931111e-17 & -8.621827e-18 & 1.562159e-17 & -6.746438e-18 & -5.138828e-19 & -1.614300e-18 & -6.379985e-19 & 1.453086e-02 & 8.305219e-19 & -2.735451e-18 & -7.056208e-19 & 2.706409e-18\\\\\n", + "\tDim.9 & 1.192584e-17 & 6.204153e-19 & -2.121116e-18 & 4.540584e-18 & -1.704327e-18 & -1.894256e-18 & 3.040361e-18 & 8.305219e-19 & 8.253533e-03 & 1.151941e-18 & -6.431219e-19 & -1.630327e-19\\\\\n", + "\tDim.10 & 1.286406e-17 & 6.213446e-18 & 9.450468e-19 & 1.726643e-18 & 1.176166e-20 & -1.384536e-19 & 2.737444e-19 & -2.735451e-18 & 1.151941e-18 & 5.711252e-03 & 8.840301e-19 & -8.545957e-20\\\\\n", + "\tDim.11 & 3.687372e-17 & 1.012616e-17 & 3.661360e-19 & 1.586364e-19 & -3.146122e-22 & -9.819532e-19 & -9.565369e-19 & -7.056208e-19 & -6.431219e-19 & 8.840301e-19 & 3.531043e-03 & 2.495087e-19\\\\\n", + "\tDim.12 & 6.135229e-18 & -1.249979e-18 & -1.198128e-18 & -7.063850e-19 & -7.462723e-19 & 5.022300e-19 & 2.354684e-19 & 2.706409e-18 & -1.630327e-19 & -8.545957e-20 & 2.495087e-19 & 1.160436e-03\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 12 × 12 of type dbl\n", + "\n", + "| | Dim.1 | Dim.2 | Dim.3 | Dim.4 | Dim.5 | Dim.6 | Dim.7 | Dim.8 | Dim.9 | Dim.10 | Dim.11 | Dim.12 |\n", + "|---|---|---|---|---|---|---|---|---|---|---|---|---|\n", + "| Dim.1 | 3.864073e+01 | -2.581938e-15 | -9.972337e-17 | 1.103754e-16 | -8.894330e-17 | -2.185132e-17 | 4.671479e-17 | -6.931111e-17 | 1.192584e-17 | 1.286406e-17 | 3.687372e-17 | 6.135229e-18 |\n", + "| Dim.2 | -2.581938e-15 | 5.734426e+00 | 1.245516e-16 | -4.716079e-17 | -5.768924e-17 | 1.024962e-16 | 6.266858e-18 | -8.621827e-18 | 6.204153e-19 | 6.213446e-18 | 1.012616e-17 | -1.249979e-18 |\n", + "| Dim.3 | -9.972337e-17 | 1.245516e-16 | 1.769490e-01 | -8.377616e-18 | 1.071124e-17 | 6.301925e-19 | 1.273209e-17 | 1.562159e-17 | -2.121116e-18 | 9.450468e-19 | 3.661360e-19 | -1.198128e-18 |\n", + "| Dim.4 | 1.103754e-16 | -4.716079e-17 | -8.377616e-18 | 1.099449e-01 | -5.418766e-18 | 1.283828e-17 | -9.938925e-18 | -6.746438e-18 | 4.540584e-18 | 1.726643e-18 | 1.586364e-19 | -7.063850e-19 |\n", + "| Dim.5 | -8.894330e-17 | -5.768924e-17 | 1.071124e-17 | -5.418766e-18 | 4.404247e-02 | -9.513874e-18 | -1.044240e-19 | -5.138828e-19 | -1.704327e-18 | 1.176166e-20 | -3.146122e-22 | -7.462723e-19 |\n", + "| Dim.6 | -2.185132e-17 | 1.024962e-16 | 6.301925e-19 | 1.283828e-17 | -9.513874e-18 | 2.377793e-02 | -3.418934e-18 | -1.614300e-18 | -1.894256e-18 | -1.384536e-19 | -9.819532e-19 | 5.022300e-19 |\n", + "| Dim.7 | 4.671479e-17 | 6.266858e-18 | 1.273209e-17 | -9.938925e-18 | -1.044240e-19 | -3.418934e-18 | 1.795150e-02 | -6.379985e-19 | 3.040361e-18 | 2.737444e-19 | -9.565369e-19 | 2.354684e-19 |\n", + "| Dim.8 | -6.931111e-17 | -8.621827e-18 | 1.562159e-17 | -6.746438e-18 | -5.138828e-19 | -1.614300e-18 | -6.379985e-19 | 1.453086e-02 | 8.305219e-19 | -2.735451e-18 | -7.056208e-19 | 2.706409e-18 |\n", + "| Dim.9 | 1.192584e-17 | 6.204153e-19 | -2.121116e-18 | 4.540584e-18 | -1.704327e-18 | -1.894256e-18 | 3.040361e-18 | 8.305219e-19 | 8.253533e-03 | 1.151941e-18 | -6.431219e-19 | -1.630327e-19 |\n", + "| Dim.10 | 1.286406e-17 | 6.213446e-18 | 9.450468e-19 | 1.726643e-18 | 1.176166e-20 | -1.384536e-19 | 2.737444e-19 | -2.735451e-18 | 1.151941e-18 | 5.711252e-03 | 8.840301e-19 | -8.545957e-20 |\n", + "| Dim.11 | 3.687372e-17 | 1.012616e-17 | 3.661360e-19 | 1.586364e-19 | -3.146122e-22 | -9.819532e-19 | -9.565369e-19 | -7.056208e-19 | -6.431219e-19 | 8.840301e-19 | 3.531043e-03 | 2.495087e-19 |\n", + "| Dim.12 | 6.135229e-18 | -1.249979e-18 | -1.198128e-18 | -7.063850e-19 | -7.462723e-19 | 5.022300e-19 | 2.354684e-19 | 2.706409e-18 | -1.630327e-19 | -8.545957e-20 | 2.495087e-19 | 1.160436e-03 |\n", + "\n" + ], + "text/plain": [ + " Dim.1 Dim.2 Dim.3 Dim.4 Dim.5 \n", + "Dim.1 3.864073e+01 -2.581938e-15 -9.972337e-17 1.103754e-16 -8.894330e-17\n", + "Dim.2 -2.581938e-15 5.734426e+00 1.245516e-16 -4.716079e-17 -5.768924e-17\n", + "Dim.3 -9.972337e-17 1.245516e-16 1.769490e-01 -8.377616e-18 1.071124e-17\n", + "Dim.4 1.103754e-16 -4.716079e-17 -8.377616e-18 1.099449e-01 -5.418766e-18\n", + "Dim.5 -8.894330e-17 -5.768924e-17 1.071124e-17 -5.418766e-18 4.404247e-02\n", + "Dim.6 -2.185132e-17 1.024962e-16 6.301925e-19 1.283828e-17 -9.513874e-18\n", + "Dim.7 4.671479e-17 6.266858e-18 1.273209e-17 -9.938925e-18 -1.044240e-19\n", + "Dim.8 -6.931111e-17 -8.621827e-18 1.562159e-17 -6.746438e-18 -5.138828e-19\n", + "Dim.9 1.192584e-17 6.204153e-19 -2.121116e-18 4.540584e-18 -1.704327e-18\n", + "Dim.10 1.286406e-17 6.213446e-18 9.450468e-19 1.726643e-18 1.176166e-20\n", + "Dim.11 3.687372e-17 1.012616e-17 3.661360e-19 1.586364e-19 -3.146122e-22\n", + "Dim.12 6.135229e-18 -1.249979e-18 -1.198128e-18 -7.063850e-19 -7.462723e-19\n", + " Dim.6 Dim.7 Dim.8 Dim.9 Dim.10 \n", + "Dim.1 -2.185132e-17 4.671479e-17 -6.931111e-17 1.192584e-17 1.286406e-17\n", + "Dim.2 1.024962e-16 6.266858e-18 -8.621827e-18 6.204153e-19 6.213446e-18\n", + "Dim.3 6.301925e-19 1.273209e-17 1.562159e-17 -2.121116e-18 9.450468e-19\n", + "Dim.4 1.283828e-17 -9.938925e-18 -6.746438e-18 4.540584e-18 1.726643e-18\n", + "Dim.5 -9.513874e-18 -1.044240e-19 -5.138828e-19 -1.704327e-18 1.176166e-20\n", + "Dim.6 2.377793e-02 -3.418934e-18 -1.614300e-18 -1.894256e-18 -1.384536e-19\n", + "Dim.7 -3.418934e-18 1.795150e-02 -6.379985e-19 3.040361e-18 2.737444e-19\n", + "Dim.8 -1.614300e-18 -6.379985e-19 1.453086e-02 8.305219e-19 -2.735451e-18\n", + "Dim.9 -1.894256e-18 3.040361e-18 8.305219e-19 8.253533e-03 1.151941e-18\n", + "Dim.10 -1.384536e-19 2.737444e-19 -2.735451e-18 1.151941e-18 5.711252e-03\n", + "Dim.11 -9.819532e-19 -9.565369e-19 -7.056208e-19 -6.431219e-19 8.840301e-19\n", + "Dim.12 5.022300e-19 2.354684e-19 2.706409e-18 -1.630327e-19 -8.545957e-20\n", + " Dim.11 Dim.12 \n", + "Dim.1 3.687372e-17 6.135229e-18\n", + "Dim.2 1.012616e-17 -1.249979e-18\n", + "Dim.3 3.661360e-19 -1.198128e-18\n", + "Dim.4 1.586364e-19 -7.063850e-19\n", + "Dim.5 -3.146122e-22 -7.462723e-19\n", + "Dim.6 -9.819532e-19 5.022300e-19\n", + "Dim.7 -9.565369e-19 2.354684e-19\n", + "Dim.8 -7.056208e-19 2.706409e-18\n", + "Dim.9 -6.431219e-19 -1.630327e-19\n", + "Dim.10 8.840301e-19 -8.545957e-20\n", + "Dim.11 3.531043e-03 2.495087e-19\n", + "Dim.12 2.495087e-19 1.160436e-03" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 12 × 2 of type dbl
norm2inertia
Dim.137.56737529337.567375293
Dim.2 5.575136519 5.575136519
Dim.3 0.172033792 0.172033792
Dim.4 0.106890842 0.106890842
Dim.5 0.042819067 0.042819067
Dim.6 0.023117428 0.023117428
Dim.7 0.017452848 0.017452848
Dim.8 0.014127227 0.014127227
Dim.9 0.008024268 0.008024268
Dim.10 0.005552606 0.005552606
Dim.11 0.003432958 0.003432958
Dim.12 0.001128202 0.001128202
\n" + ], + "text/latex": [ + "A matrix: 12 × 2 of type dbl\n", + "\\begin{tabular}{r|ll}\n", + " & norm2 & inertia\\\\\n", + "\\hline\n", + "\tDim.1 & 37.567375293 & 37.567375293\\\\\n", + "\tDim.2 & 5.575136519 & 5.575136519\\\\\n", + "\tDim.3 & 0.172033792 & 0.172033792\\\\\n", + "\tDim.4 & 0.106890842 & 0.106890842\\\\\n", + "\tDim.5 & 0.042819067 & 0.042819067\\\\\n", + "\tDim.6 & 0.023117428 & 0.023117428\\\\\n", + "\tDim.7 & 0.017452848 & 0.017452848\\\\\n", + "\tDim.8 & 0.014127227 & 0.014127227\\\\\n", + "\tDim.9 & 0.008024268 & 0.008024268\\\\\n", + "\tDim.10 & 0.005552606 & 0.005552606\\\\\n", + "\tDim.11 & 0.003432958 & 0.003432958\\\\\n", + "\tDim.12 & 0.001128202 & 0.001128202\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 12 × 2 of type dbl\n", + "\n", + "| | norm2 | inertia |\n", + "|---|---|---|\n", + "| Dim.1 | 37.567375293 | 37.567375293 |\n", + "| Dim.2 | 5.575136519 | 5.575136519 |\n", + "| Dim.3 | 0.172033792 | 0.172033792 |\n", + "| Dim.4 | 0.106890842 | 0.106890842 |\n", + "| Dim.5 | 0.042819067 | 0.042819067 |\n", + "| Dim.6 | 0.023117428 | 0.023117428 |\n", + "| Dim.7 | 0.017452848 | 0.017452848 |\n", + "| Dim.8 | 0.014127227 | 0.014127227 |\n", + "| Dim.9 | 0.008024268 | 0.008024268 |\n", + "| Dim.10 | 0.005552606 | 0.005552606 |\n", + "| Dim.11 | 0.003432958 | 0.003432958 |\n", + "| Dim.12 | 0.001128202 | 0.001128202 |\n", + "\n" + ], + "text/plain": [ + " norm2 inertia \n", + "Dim.1 37.567375293 37.567375293\n", + "Dim.2 5.575136519 5.575136519\n", + "Dim.3 0.172033792 0.172033792\n", + "Dim.4 0.106890842 0.106890842\n", + "Dim.5 0.042819067 0.042819067\n", + "Dim.6 0.023117428 0.023117428\n", + "Dim.7 0.017452848 0.017452848\n", + "Dim.8 0.014127227 0.014127227\n", + "Dim.9 0.008024268 0.008024268\n", + "Dim.10 0.005552606 0.005552606\n", + "Dim.11 0.003432958 0.003432958\n", + "Dim.12 0.001128202 0.001128202" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cov(acp$ind$coord)\n", + "n <- nrow(temp)\n", + "# note that by default the covariance uses a normalization of n-1 instead of n\n", + "cbind(norm2 = diag(cov(acp$ind$coord)) * (n-1) / n, \n", + " inertia = acp$eig[, 1])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The original variables can be represented in the orthonormal basis U computed from C: columns of C, divided by their norm (square root of inertia). Their coordinates differ from the eigenvector coordinates only by a factor equal to the square root of the inertia (recall that C = XP hence X=CP'). " + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " num [1:12, 1:12] 2.02 2.02 1.67 1.38 1.21 ...\n", + " - attr(*, \"dimnames\")=List of 2\n", + " ..$ : chr [1:12] \"janv\" \"fevr\" \"mars\" \"avri\" ...\n", + " ..$ : chr [1:12] \"Dim.1\" \"Dim.2\" \"Dim.3\" \"Dim.4\" ...\n" + ] + } + ], + "source": [ + "str(acp$var$coord)" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "\n", + "\n", + "\n", + "\t\n", + "\n", + "\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\t\n", + "\n", + "
A matrix: 12 × 2 of type dbl
varCoordSoftwarevarCoordFromEigen
janv2.0167532.016753
fevr2.0225162.022516
mars1.6679101.667910
avri1.3830111.383011
mai1.2105131.210513
juin1.4394621.439462
juil1.6485841.648584
aout1.7074081.707408
sept1.8312041.831204
octo1.9925371.992537
nove2.0011792.001179
dece2.0533322.053332
\n" + ], + "text/latex": [ + "A matrix: 12 × 2 of type dbl\n", + "\\begin{tabular}{r|ll}\n", + " & varCoordSoftware & varCoordFromEigen\\\\\n", + "\\hline\n", + "\tjanv & 2.016753 & 2.016753\\\\\n", + "\tfevr & 2.022516 & 2.022516\\\\\n", + "\tmars & 1.667910 & 1.667910\\\\\n", + "\tavri & 1.383011 & 1.383011\\\\\n", + "\tmai & 1.210513 & 1.210513\\\\\n", + "\tjuin & 1.439462 & 1.439462\\\\\n", + "\tjuil & 1.648584 & 1.648584\\\\\n", + "\taout & 1.707408 & 1.707408\\\\\n", + "\tsept & 1.831204 & 1.831204\\\\\n", + "\tocto & 1.992537 & 1.992537\\\\\n", + "\tnove & 2.001179 & 2.001179\\\\\n", + "\tdece & 2.053332 & 2.053332\\\\\n", + "\\end{tabular}\n" + ], + "text/markdown": [ + "\n", + "A matrix: 12 × 2 of type dbl\n", + "\n", + "| | varCoordSoftware | varCoordFromEigen |\n", + "|---|---|---|\n", + "| janv | 2.016753 | 2.016753 |\n", + "| fevr | 2.022516 | 2.022516 |\n", + "| mars | 1.667910 | 1.667910 |\n", + "| avri | 1.383011 | 1.383011 |\n", + "| mai | 1.210513 | 1.210513 |\n", + "| juin | 1.439462 | 1.439462 |\n", + "| juil | 1.648584 | 1.648584 |\n", + "| aout | 1.707408 | 1.707408 |\n", + "| sept | 1.831204 | 1.831204 |\n", + "| octo | 1.992537 | 1.992537 |\n", + "| nove | 2.001179 | 2.001179 |\n", + "| dece | 2.053332 | 2.053332 |\n", + "\n" + ], + "text/plain": [ + " varCoordSoftware varCoordFromEigen\n", + "janv 2.016753 2.016753 \n", + "fevr 2.022516 2.022516 \n", + "mars 1.667910 1.667910 \n", + "avri 1.383011 1.383011 \n", + "mai 1.210513 1.210513 \n", + "juin 1.439462 1.439462 \n", + "juil 1.648584 1.648584 \n", + "aout 1.707408 1.707408 \n", + "sept 1.831204 1.831204 \n", + "octo 1.992537 1.992537 \n", + "nove 2.001179 2.001179 \n", + "dece 2.053332 2.053332 " + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "cbind(varCoordSoftware = acp$var$coord[, 1], # coordinate returned by FactoMineR\n", + " varCoordFromEigen = acp$svd$V[, 1] * sqrt(acp$eig[1])) # computation from the eigen decomposition" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "If the data have been scaled first, the Euclidean norm of the coordinates = 1, and thus belong to a sphere in dimension p. If one plot a projection onto a 2D plane, the coordinates should be inside a circle. It is closer to the circle if the variable nearly belongs to that plane, i.e. is the original variable is well represented by the principal variables." + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 300, + "width": 300 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "# Representation of the variables (unscaled PCA)\n", + "acp <- PCA(temp, scale.unit = FALSE, ncp = 12, graph = F)\n", + "plot(acp, axes = c(1, 2), choix = \"var\")" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 300, + "width": 300 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "acp <- PCA(temp, scale.unit = TRUE, graph = F)\n", + "plot(acp, axes = c(1, 2), choix = \"var\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** Why the two representations are very similar?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Because the variance of each month is quite similar." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** Why can we use all the variables to interpret the principal variables 1 and 2? Can you recover the interpretation of the two first axis?" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Because all variables are close to the plane created by `Dim1` and `Dim2`." + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** Draw a similar plot with components 3 and 4. Explain we cannot use that plot to interpret component 3. What can we do else?" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Warning message:\n", + "“ggrepel: 7 unlabeled data points (too many overlaps). Consider increasing max.overlaps”\n" + ] + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 300, + "width": 300 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "acp <- PCA(temp, scale.unit = TRUE, graph = F)\n", + "plot(acp, axes = c(3, 4), choix = \"var\")\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Let us now consider the case of the outlier on axis 2 (Brest). Should we keep it in the analysis, or should we remove it because it completely changes the computations (matrix diagonalization, mean, etc.), in particular about the second axis? To address this question, we consider two PCAs, with or without this point.. \n", + "\n", + "**Q** Look at the code below: How this observation is excluded?" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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", + "text/plain": [ + "plot without title" + ] + }, + "metadata": { + "image/png": { + "height": 300, + "width": 300 + } + }, + "output_type": "display_data" + } + ], + "source": [ + "acp <- PCA(temp, scale.unit = TRUE, ncp = 12, graph = F, ind.sup = 8)\n", + "plot(acp)\n", + "plot(acp, choix = \"var\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Q** Is the interpretation of the axes modified? Conclusion about the outlier?" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "R", + "language": "R", + "name": "ir" + }, + "language_info": { + "codemirror_mode": "r", + "file_extension": ".r", + "mimetype": "text/x-r-source", + "name": "R", + "pygments_lexer": "r", + "version": "4.1.2" + }, + "toc": { + "base_numbering": 1, + "nav_menu": {}, + "number_sections": true, + "sideBar": true, + "skip_h1_title": false, + "title_cell": "Table of Contents", + "title_sidebar": "Contents", + "toc_cell": false, + "toc_position": {}, + "toc_section_display": true, + "toc_window_display": false + } + }, + "nbformat": 4, + "nbformat_minor": 4 +}