synthetic data B p1 p1 p1 p1 p1 p1-p2 p1-p2 p1-p2 p2 p2 p2 p2 p2-p3 p2-p3 p3 p3 p3 p4 p4 p4 Factor_0 14.892514 16.170274 7.3224225 19.399105 12.458104 4.6682988 14.675678 15.906894 26.751702 19.822842 31.166767 23.696987 118.49007 185.74342 144.15215 148.55453 143.58419 1.5623286 8.4893561 2.3619165 Factor_1 19.296013 29.531485 21.763827 20.551863 11.558001 1.2826664 2.0863511 2.643614 7.4944993 13.156386 23.705253 5.0146231 11.087999 3.911203 31.387653 26.939457 25.532003 122.0501 97.376466 130.44072 Factor_2 102.57432 77.456945 100.89637 96.463192 120.24433 97.706963 109.66161 116.02959 9.5281888 10.026305 12.622699 10.472222 4.6011776 2.4108464 12.15362 11.702083 17.987189 1.5631964 11.961248 19.119562 Factor_3 10.014743 9.916496 10.229363 7.8686184 1.2651093 107.67867 76.12129 60.881371 141.02374 112.89634 89.305168 134.29287 82.082412 86.636145 2.0223295 8.2020604 6.1329595 20.881828 18.364235 11.11532