Thursday, November 19, 2020 12:34:23 PM 75 Obs X01 X02 X03 X04 X05 X06 X07 X08 X09 X10 1 7.69 7.31 7.47 7.76 7.87 7.51 7.24 7.70 7.91 7.95 2 6.59 5.56 6.21 6.04 5.81 6.64 6.11 6.53 6.44 6.64 3 4.55 4.18 4.36 4.25 4.53 4.60 3.66 4.04 3.68 4.43 4 6.78 6.11 6.30 5.98 5.56 6.37 6.29 5.43 5.32 5.28 5 6.47 6.24 6.02 5.42 5.88 6.00 5.60 4.60 5.40 5.95 6 6.96 6.81 6.91 6.48 6.23 7.09 7.27 7.13 6.86 7.36 7 6.57 5.70 5.89 5.16 5.30 6.07 5.56 4.50 4.92 5.33 8 7.32 6.95 6.02 4.98 4.88 6.82 6.40 5.53 5.61 5.33 9 6.51 6.15 5.51 4.68 4.16 5.17 4.81 4.70 4.86 3.82 10 6.86 6.05 5.85 6.14 6.75 6.71 5.39 5.42 6.03 6.59 Thursday, November 19, 2020 12:34:23 PM 76 The PRINCOMP Procedure Observations 100 Variables 10 Simple Statistics X01 X02 X03 X04 X05 Mean 6.038100000 5.784800000 5.947100000 5.669500000 5.640600000 StD 1.239147389 1.034139939 0.825972699 0.915395124 0.884228614 Simple Statistics X06 X07 X08 X09 X10 Mean 5.781300000 5.563900000 5.379400000 5.517400000 5.542100000 StD 1.294327683 1.182607883 1.121124814 1.016264322 1.130856737 Correlation Matrix X01 X02 X03 X04 X05 X01 M(-15) 1.0000 0.8708 0.5158 0.3701 0.1723 X02 M(16-20) 0.8708 1.0000 0.7588 0.6043 0.4021 X03 M(21-30) 0.5158 0.7588 1.0000 0.8524 0.7262 X04 M(31-40) 0.3701 0.6043 0.8524 1.0000 0.8742 X05 M(41-) 0.1723 0.4021 0.7262 0.8742 1.0000 X06 F(-15) 0.9384 0.8207 0.5164 0.3580 0.2077 X07 F(16-20) 0.8107 0.8381 0.6584 0.4875 0.3543 X08 F(21-30) 0.6161 0.7095 0.6990 0.6199 0.5235 X09 F(31-40) 0.5003 0.6470 0.7013 0.7207 0.7101 X10 F(41-) 0.3298 0.4569 0.5584 0.6321 0.7479 Thursday, November 19, 2020 12:34:23 PM 77 The PRINCOMP Procedure Correlation Matrix X06 X07 X08 X09 X10 X01 0.9384 0.8107 0.6161 0.5003 0.3298 X02 0.8207 0.8381 0.7095 0.6470 0.4569 X03 0.5164 0.6584 0.6990 0.7013 0.5584 X04 0.3580 0.4875 0.6199 0.7207 0.6321 X05 0.2077 0.3543 0.5235 0.7101 0.7479 X06 1.0000 0.8888 0.7465 0.6215 0.4932 X07 0.8888 1.0000 0.8949 0.7679 0.6415 X08 0.7465 0.8949 1.0000 0.8528 0.7741 X09 0.6215 0.7679 0.8528 1.0000 0.9112 X10 0.4932 0.6415 0.7741 0.9112 1.0000 Eigenvalues of the Correlation Matrix Eigenvalue Difference Proportion Cumulative 1 6.82795512 5.06608201 0.6828 0.6828 2 1.76187311 1.00742187 0.1762 0.8590 3 0.75445124 0.49207487 0.0754 0.9344 4 0.26237637 0.14082435 0.0262 0.9607 5 0.12155202 0.02358655 0.0122 0.9728 6 0.09796547 0.02586580 0.0098 0.9826 7 0.07209967 0.02801926 0.0072 0.9898 8 0.04408041 0.00832792 0.0044 0.9942 9 0.03575249 0.01385842 0.0036 0.9978 10 0.02189408 0.0022 1.0000 Thursday, November 19, 2020 12:34:23 PM 78 The PRINCOMP Procedure Eigenvectors Prin1 Prin2 Prin3 Prin4 Prin5 X01 M(-15) 0.286033 -.446335 0.193512 0.428019 0.162365 X02 M(16-20) 0.331337 -.239842 0.336063 0.022488 -.559594 X03 M(21-30) 0.323345 0.166337 0.442291 -.436029 -.168594 X04 M(31-40) 0.299329 0.358627 0.375366 0.063449 0.367912 X05 M(41-) 0.260727 0.507209 0.127419 0.375425 0.146879 X06 F(-15) 0.308635 -.407882 -.083695 0.267375 0.286866 X07 F(16-20) 0.344271 -.252697 -.171400 -.295655 -.025050 X08 F(21-30) 0.347877 -.032314 -.289087 -.507508 0.452377 X09 F(31-40) 0.345636 0.164368 -.322236 0.040012 -.388944 X10 F(41-) 0.303334 0.267273 -.522559 0.251270 -.190507 Eigenvectors Prin6 Prin7 Prin8 Prin9 Prin10 X01 -.016413 -.062138 -.038493 -.141617 0.668052 X02 -.212367 0.479465 0.283325 -.013739 -.225064 X03 0.476929 -.416354 0.136150 0.085922 0.163960 X04 -.562491 -.066245 -.114301 0.403713 -.068344 X05 0.385123 0.325310 -.167534 -.437833 -.148648 X06 0.209878 -.335058 0.176137 0.090538 -.618107 X07 0.137469 0.236104 -.762654 0.204382 -.046351 X08 -.128390 0.256135 0.382983 -.303270 0.106863 X09 -.387189 -.488821 -.161974 -.425188 -.030381 X10 0.181955 0.100632 0.270185 0.543107 0.229904 Thursday, November 19, 2020 12:34:24 PM 79 Obs X01 X02 X03 X04 X05 X06 X07 X08 X09 X10 Prin1 Prin2 1 7.69 7.31 7.47 7.76 7.87 7.51 7.24 7.70 7.91 7.95 5.88693 1.44204 2 6.59 5.56 6.21 6.04 5.81 6.64 6.11 6.53 6.44 6.64 1.65842 0.13686 3 4.55 4.18 4.36 4.25 4.53 4.60 3.66 4.04 3.68 4.43 -4.44537 -0.34692 4 6.78 6.11 6.30 5.98 5.56 6.37 6.29 5.43 5.32 5.28 0.72138 -0.63217 5 6.47 6.24 6.02 5.42 5.88 6.00 5.60 4.60 5.40 5.95 0.15339 -0.18363 6 6.96 6.81 6.91 6.48 6.23 7.09 7.27 7.13 6.86 7.36 3.65322 0.09908 7 6.57 5.70 5.89 5.16 5.30 6.07 5.56 4.50 4.92 5.33 -0.65902 -0.78995 8 7.32 6.95 6.02 4.98 4.88 6.82 6.40 5.53 5.61 5.33 0.76044 -1.96919 9 6.51 6.15 5.51 4.68 4.16 5.17 4.81 4.70 4.86 3.82 -1.96687 -1.71968 10 6.86 6.05 5.85 6.14 6.75 6.71 5.39 5.42 6.03 6.59 1.35649 0.51749 11 7.04 6.03 6.53 6.02 6.68 6.78 5.91 6.26 5.76 5.95 1.76317 0.15476 12 6.59 6.30 6.29 5.94 6.10 5.93 5.52 5.35 5.45 5.85 0.72383 0.14551 13 5.93 4.76 5.09 5.51 5.79 5.49 4.97 4.69 5.30 5.61 -1.20892 0.34668 14 7.00 6.31 6.82 6.26 5.26 6.69 6.27 5.94 5.78 5.26 1.42272 -0.75706 15 6.63 5.47 5.54 4.88 4.70 5.89 4.64 4.43 4.00 3.98 -2.13183 -1.49511 Obs Prin3 Prin4 Prin5 Prin6 Prin7 Prin8 Prin9 Prin10 1 -0.07682 0.40809 0.25348 -0.08404 0.00629 0.07518 -0.29432 0.07804 2 -0.90098 -0.05516 0.42231 -0.06712 -0.42537 0.15924 0.03126 0.21633 3 -0.55169 0.23782 0.37097 0.08301 0.22924 0.36927 0.13546 -0.13545 4 0.55357 -0.08449 0.21583 0.10836 -0.04069 -0.30130 0.23414 0.03747 5 0.21693 0.67993 -0.55569 0.43975 0.12407 -0.03449 0.20098 0.03292 6 -0.63902 -0.35301 -0.06665 0.08296 0.01967 0.09429 0.27099 0.10991 7 0.26301 0.42015 -0.16052 0.48267 -0.13359 -0.13508 0.28383 0.14238 8 0.06701 -0.04720 -0.60733 0.05720 0.07830 0.10980 -0.04606 0.07099 9 0.66740 -0.33431 -0.54215 -0.50605 -0.09164 0.28167 -0.34880 0.33721 10 -0.17674 1.31452 0.21057 0.17171 0.08563 0.18324 -0.13665 -0.09062 11 0.23456 0.33063 0.60092 0.58481 0.05801 0.16376 -0.43135 0.07070 12 0.49777 0.35538 -0.09548 0.21636 0.19362 0.18252 0.04441 0.14858 13 -0.53251 0.85212 0.41764 -0.06351 -0.06122 -0.26835 -0.02047 0.09838 14 0.71704 -0.53272 0.19744 -0.12540 -0.54510 0.00683 0.21138 0.12406 15 0.88751 0.23480 0.36191 0.24293 -0.09797 0.25997 0.00113 0.14547 Thursday, November 19, 2020 12:34:24 PM 80 Plot of Prin2*Prin1. Legend: A = 1 obs, B = 2 obs, etc. 4 + | | | | | | | | | | A A| | |A A 2 + A | A A A | A A A A | |A A A A Prin2 | A A A B| A A | A B AA A| A A | A A A A AA A A B | A A A A A | A A A A 0 +----------------------------------A----A+--A----A---A-----AA-------A--- | A A |A A A | A A A | A BA A | A A | A B AA | A | A A | A | A A A | A A A | A A -2 + A A A| A | A | A A | A | | | A | | | | | A | -4 + | -+---------+---------+---------+---------+---------+---------+---------+ -8 -6 -4 -2 0 2 4 6 Prin1 Thursday, November 19, 2020 12:34:24 PM 81 Plot of Prin3*Prin2. Legend: A = 1 obs, B = 2 obs, etc. Prin3 | | | | 3 + | | | A | | | | A | A | A 2 + | A | | A | | A | | AA | A | 1 + | AA | AA AAA | | A A A | A | A A |A A | A A A A AA BBA AA A A AA A A 0 +-------------------AA-A-A-A-------------+-------------A---------------- | A A AAA | A AA A | A A A A A A A AA | A A B |B A A A A B A | B A | A A A -1 + A AAA B A A | | | | A A A | | AA | | -2 + | | | -+---------+---------+---------+---------+---------+---------+---------+ -4 -3 -2 -1 0 1 2 3 Prin2 Thursday, November 19, 2020 12:34:24 PM 82 Plot of Prin1*Prin3. Legend: A = 1 obs, B = 2 obs, etc. Prin1 | | | | 7.5 + | | | | | | A A| 5.0 + A A | | A A | A A | A | A | A A 2.5 + A A A | AAA A | B A A A A A A A | A A AB | AB B | A A A A AA AA AA A 0.0 +---------A----A-A--AAA---A-A+--BA-------------A------------------------ | A A | A A | A A | A A | A A | A A A A A -2.5 + A A A A C A | B A | AA | A A | BA | | A | -5.0 + | A | A A | A | | | | A -7.5 + | | | -+-------------+-------------+-------------+-------------+-------------+ -2 -1 0 1 2 3 Prin3