We will discuss principal component analysis and its uses.
Lay discussions about principal components are available in Chapter 17 of your text, The Statistical
Sleuth, in Chapter 14 of Biostatistics by van Belle, Fisher, Heagerty, and Lumley, as well as on the
WEB at: http://www.okstate.edu/artsci/botany/ordinate/PCA.htm
and
http://www.eng.man.ac.uk/mech/merg/Research/datafusion.org.uk/pca.html
A more technical discussion may be found in Chapter 8 of Applied Multivariate Statistical Analysis by Johnson and Wichern.
Responder_Type Individual Day_0 Day_1 Day_2 Day_7 Day_14 Day_28 log_0 log_1 log_2 log_7 log_14 log_28 Y 1 11414.9 17461.9 19303.3 11776.5 16481.6 18769.7 9.34267 9.7678 9.8680 9.3739 9.7100 9.8400 Y 2 11761.8 26143.5 24651.6 22734.7 16481.6 18769.7 9.37261 10.1714 10.1126 10.0316 9.7100 9.8400 Y 3 13664.3 26074.4 22826.3 18222.6 16155.2 18769.7 9.52254 10.1687 10.0357 9.8104 9.6900 9.8400 Y 4 11540.1 53371.2 61456.4 25517.4 26815.9 22790.4 9.35359 10.8850 11.0261 10.1471 10.1967 10.0341 Y 5 12081.6 21713.0 15061.9 18078.2 16990.9 18769.7 9.39944 9.9857 9.6199 9.8025 9.7404 9.8400 Y 6 9997.6 21122.8 18664.2 28093.0 17939.0 29943.9 9.21010 9.9581 9.8344 10.2433 9.7947 10.3071 Y 7 7507.8 21262.9 15972.3 16410.8 14589.2 17415.9 8.92369 9.9647 9.6786 9.7057 9.5880 9.7651 Y 8 8663.9 22601.0 18865.3 18441.0 18494.9 18851.7 9.06692 10.0257 9.8451 9.8223 9.8252 9.8444 Y 9 10706.0 22932.3 19430.3 22860.4 23034.1 19384.8 9.27856 10.0403 9.8746 10.0372 10.0447 9.8722 Y 10 11614.7 19930.5 21020.7 16272.9 15381.5 16397.6 9.36003 9.9000 9.9533 9.6973 9.6409 9.7049 Y 11 7802.8 25495.1 19997.9 18060.6 22315.5 23126.0 8.96224 10.1462 9.9034 9.8015 10.0130 10.0487 Y 12 11213.6 25262.6 18758.3 12626.1 11362.1 14796.9 9.32488 10.1371 9.8394 9.4435 9.3380 9.6022 Y 13 7521.9 18282.0 15244.6 10057.4 12532.0 14402.7 8.92557 9.8137 9.6320 9.2161 9.4360 9.5752 Y 14 10290.3 19072.7 20434.0 16148.9 16282.7 20384.0 9.23896 9.8560 9.9250 9.6896 9.6979 9.9225 Y 15 7518.6 21373.2 17259.6 14275.1 14281.1 14966.9 8.92513 9.9699 9.7561 9.5663 9.5667 9.6136 N 1 11693.3 20623.1 18839.2 23948.0 12456.5 13359.7 9.36677 9.9342 9.8437 10.0836 9.4300 9.5000 N 2 20489.0 56887.2 39841.9 43468.9 11498.8 13226.8 9.92765 10.9488 10.5927 10.6798 9.3500 9.4900 N 3 7599.7 20925.4 6854.2 9596.4 13722.0 11977.9 8.93586 9.9487 8.8326 9.1691 9.5268 9.3908 N 4 7475.1 19415.8 15230.0 6848.3 11161.2 15119.8 8.91934 9.8738 9.6310 8.8318 9.3202 9.6238 N 5 10536.5 10951.1 10996.7 13369.7 10599.3 14111.2 9.26260 9.3012 9.3054 9.5007 9.2685 9.5547 N 6 10056.6 17893.1 16079.3 9024.5 9527.8 16989.9 9.21598 9.7922 9.6853 9.1077 9.1620 9.7404 N 7 13547.0 16276.9 19004.6 13346.8 14270.3 23868.3 9.51392 9.6975 9.8524 9.4990 9.5659 10.0803 N 8 9225.6 15606.1 14296.7 8159.4 9728.2 10655.3 9.12973 9.6554 9.5678 9.0069 9.1828 9.2738 N 9 6928.8 19736.4 16362.1 22876.9 17034.6 8942.5 8.84345 9.8902 9.7027 10.0379 9.7430 9.0986 N 10 8199.4 21073.4 17104.9 14532.5 19080.1 16211.2 9.01182 9.9558 9.7471 9.5841 9.8564 9.6935 N 11 4650.1 21729.2 17025.4 16531.0 13747.7 19303.6 8.44464 9.9864 9.7425 9.7130 9.5286 9.8680 N 12 15412.9 13787.9 16970.1 9014.1 10419.9 9833.3 9.64296 9.5315 9.7392 9.1065 9.2515 9.1935 N 13 9633.2 12790.3 15948.7 14265.2 16672.7 8620.1 9.17297 9.4564 9.6771 9.5656 9.7215 9.0619 N 14 9776.1 15146.7 25677.6 8918.9 9816.2 14995.3 9.18769 9.6255 10.1534 9.0959 9.1918 9.6155 N 15 10396.0 14976.9 9150.4 2070.1 8064.8 11081.9 9.24918 9.6143 9.1216 7.6353 8.9953 9.3131 N 16 12738.2 14799.0 11447.3 12654.1 13134.8 11278.5 9.45236 9.6023 9.3455 9.4457 9.4830 9.3307 N 17 10548.1 22913.1 20334.0 17160.7 16512.1 17327.8 9.26370 10.0395 9.9200 9.7504 9.7118 9.7601 N 18 7783.7 19817.7 18347.2 14450.5 19288.9 13262.9 8.95979 9.8943 9.8172 9.5785 9.8673 9.4927