Thursday, January 20, 2022 05:26:47 PM 51 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, January 20, 2022 05:26:47 PM 52 The FACTOR Procedure Input Data Type Raw Data Number of Records Read 100 Number of Records Used 100 N for Significance Tests 100 Thursday, January 20, 2022 05:26:47 PM 53 The FACTOR Procedure Initial Factor Method: Principal Components Prior Communality Estimates: ONE Eigenvalues of the Correlation Matrix: Total = 10 Average = 1 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 3 factors will be retained by the NFACTOR criterion. Thursday, January 20, 2022 05:26:47 PM 54 The FACTOR Procedure Initial Factor Method: Principal Components Factor Pattern Factor1 Factor2 Factor3 X01 M(-15) 0.74741 -0.59244 0.16808 X02 M(16-20) 0.86579 -0.31836 0.29190 X03 M(21-30) 0.84491 0.22079 0.38417 X04 M(31-40) 0.78216 0.47602 0.32604 X05 M(41-) 0.68129 0.67325 0.11067 X06 F(-15) 0.80647 -0.54140 -0.07270 X07 F(16-20) 0.89959 -0.33542 -0.14888 X08 F(21-30) 0.90901 -0.04289 -0.25110 X09 F(31-40) 0.90316 0.21817 -0.27989 X10 F(41-) 0.79262 0.35477 -0.45389 Variance Explained by Each Factor Factor1 Factor2 Factor3 6.8279551 1.7618731 0.7544512 Thursday, January 20, 2022 05:26:47 PM 55 The FACTOR Procedure Initial Factor Method: Principal Components Final Communality Estimates: Total = 9.344279 X01 X02 X03 X04 X05 0.93786990 0.93615660 0.91021020 0.94467297 0.92966229 X06 X07 X08 X09 X10 0.94880526 0.94393897 0.89119742 0.94163724 0.96012863 Thursday, January 20, 2022 05:26:47 PM 56 The FACTOR Procedure Rotation Method: Varimax Orthogonal Transformation Matrix 1 2 3 1 0.65777 0.53529 0.52990 2 -0.73396 0.61357 0.29126 3 0.16922 0.58051 -0.79647 Rotated Factor Pattern Factor1 Factor2 Factor3 X01 M(-15) 0.95490 0.13415 0.08963 X02 M(16-20) 0.85255 0.43757 0.13357 X03 M(21-30) 0.45872 0.81076 0.20605 X04 M(31-40) 0.22027 0.90003 0.29343 X05 M(41-) -0.02727 0.84202 0.46896 X06 F(-15) 0.91555 0.05731 0.32756 X07 F(16-20) 0.81272 0.18932 0.49758 X08 F(21-30) 0.58692 0.31451 0.66919 X09 F(31-40) 0.38658 0.45484 0.76506 X10 F(41-) 0.18417 0.37847 0.88485 Thursday, January 20, 2022 05:26:47 PM 57 The FACTOR Procedure Rotation Method: Varimax Variance Explained by Each Factor Factor1 Factor2 Factor3 3.9249494 2.8740019 2.5453282 Final Communality Estimates: Total = 9.344279 X01 X02 X03 X04 X05 0.93786990 0.93615660 0.91021020 0.94467297 0.92966229 X06 X07 X08 X09 X10 0.94880526 0.94393897 0.89119742 0.94163724 0.96012863 Thursday, January 20, 2022 05:26:47 PM 58 The FACTOR Procedure Rotation Method: Varimax Scoring Coefficients Estimated by Regression Squared Multiple Correlations of the Variables with Each Factor Factor1 Factor2 Factor3 1.0000000 1.0000000 1.0000000 Thursday, January 20, 2022 05:26:47 PM 59 The FACTOR Procedure Rotation Method: Varimax Standardized Scoring Coefficients Factor1 Factor2 Factor3 X01 M(-15) 0.35650 -0.01839 -0.21738 X02 M(16-20) 0.28150 0.18161 -0.29360 X03 M(21-30) 0.07559 0.43873 -0.30350 X04 M(31-40) -0.04982 0.47796 -0.20481 X05 M(41-) -0.19000 0.37303 0.04733 X06 F(-15) 0.28692 -0.18126 0.04983 X07 F(16-20) 0.19300 -0.16084 0.17154 X08 F(21-30) 0.04912 -0.13688 0.32854 X09 F(31-40) -0.06666 -0.06858 0.40164 X10 F(41-) -0.17324 -0.16356 0.59933 Thursday, January 20, 2022 05:26:47 PM 60 Obs X01 X02 X03 X04 X05 X06 X07 X08 1 7.69 7.31 7.47 7.76 7.87 7.51 7.24 7.70 2 6.59 5.56 6.21 6.04 5.81 6.64 6.11 6.53 3 4.55 4.18 4.36 4.25 4.53 4.60 3.66 4.04 4 6.78 6.11 6.30 5.98 5.56 6.37 6.29 5.43 5 6.47 6.24 6.02 5.42 5.88 6.00 5.60 4.60 6 6.96 6.81 6.91 6.48 6.23 7.09 7.27 7.13 7 6.57 5.70 5.89 5.16 5.30 6.07 5.56 4.50 8 7.32 6.95 6.02 4.98 4.88 6.82 6.40 5.53 9 6.51 6.15 5.51 4.68 4.16 5.17 4.81 4.70 10 6.86 6.05 5.85 6.14 6.75 6.71 5.39 5.42 11 7.04 6.03 6.53 6.02 6.68 6.78 5.91 6.26 Obs X09 X10 Factor1 Factor2 Factor3 1 7.91 7.95 0.66956 1.82121 1.58069 2 6.44 6.64 0.16626 -0.19916 1.19252 3 3.68 4.43 -1.03468 -1.43973 -0.47173 4 5.32 5.28 0.63900 0.22553 -0.50004 5 5.40 5.95 0.18242 0.09152 -0.20811 6 6.86 7.36 0.74034 0.36710 1.34854 7 4.92 5.33 0.32215 -0.32438 -0.54816 8 5.61 5.33 1.29334 -0.70969 -0.33933 9 4.86 3.82 0.58581 -0.75180 -1.38820 10 6.03 6.59 0.02089 0.39898 0.55070 11 5.76 5.95 0.40396 0.58950 0.17643 Thursday, January 20, 2022 05:26:47 PM 61 Obs X01 X02 X03 X04 X05 X06 X07 X08 12 6.59 6.30 6.29 5.94 6.10 5.93 5.52 5.35 13 5.93 4.76 5.09 5.51 5.79 5.49 4.97 4.69 14 7.00 6.31 6.82 6.26 5.26 6.69 6.27 5.94 15 6.63 5.47 5.54 4.88 4.70 5.89 4.64 4.43 16 6.56 6.57 5.74 4.76 4.39 6.56 6.29 5.61 17 5.80 5.44 4.75 4.69 4.65 5.23 4.83 4.66 18 6.39 6.14 6.21 5.48 5.40 6.32 6.19 6.44 19 7.19 6.66 6.58 5.33 5.03 7.13 7.19 6.62 20 5.76 6.63 7.02 7.37 7.27 5.93 5.89 6.70 21 5.74 5.71 5.93 6.12 6.24 5.42 5.69 6.10 22 5.52 5.28 5.17 4.69 4.87 4.86 4.66 4.10 Obs X09 X10 Factor1 Factor2 Factor3 12 5.45 5.85 0.19873 0.54822 -0.27773 13 5.30 5.61 -0.59976 -0.44330 0.31921 14 5.78 5.26 0.91645 0.42072 -0.53512 15 4.00 3.98 0.46299 -0.53468 -1.57421 16 5.22 4.72 1.10983 -1.07931 -0.45219 17 4.72 4.98 -0.14082 -1.22226 -0.20589 18 5.49 5.49 0.56184 -0.28434 0.15426 19 5.78 5.23 1.42653 -0.49615 -0.05011 20 6.82 6.97 -0.35458 1.77691 0.83294 21 6.25 6.45 -0.47609 0.23502 0.99736 22 4.62 4.10 -0.26670 -0.65297 -0.96281 Thursday, January 20, 2022 05:26:47 PM 62 Obs X01 X02 X03 X04 X05 X06 X07 X08 23 4.89 4.75 5.02 5.14 4.65 4.96 4.17 3.89 24 6.46 6.88 6.93 6.74 6.52 6.14 6.64 5.81 25 6.42 6.79 7.26 6.68 6.48 6.32 5.85 5.14 26 5.89 6.51 6.46 6.31 5.76 5.54 4.38 4.51 27 4.16 4.73 5.75 5.79 5.29 3.35 4.16 4.33 28 5.99 6.10 5.84 5.49 4.82 5.04 4.44 4.09 29 6.97 5.84 5.47 4.58 4.75 6.71 5.90 5.08 30 7.15 6.76 6.56 5.73 5.13 6.99 6.27 5.75 31 5.38 5.74 5.87 5.16 5.15 5.33 4.89 4.71 32 7.38 7.84 8.04 7.58 7.25 6.68 6.31 6.29 33 7.00 6.52 6.49 5.90 5.60 6.58 5.94 5.02 Obs X09 X10 Factor1 Factor2 Factor3 23 4.61 4.01 -0.63572 -0.58225 -0.93958 24 6.14 6.59 0.33485 1.19537 0.15897 25 6.21 5.55 0.37726 1.61696 -0.74595 26 5.75 5.11 -0.09263 1.13454 -1.07814 27 5.49 4.72 -1.46303 0.43324 -0.39566 28 5.01 4.31 0.06605 0.18580 -1.46840 29 4.87 5.01 0.86173 -1.22071 -0.34885 30 5.58 4.98 1.22928 0.06302 -0.75360 31 5.28 4.96 -0.21004 -0.17526 -0.46939 32 6.68 6.14 0.88025 2.62575 -0.74318 33 5.71 5.14 0.79438 0.43247 -0.78770 Thursday, January 20, 2022 05:26:47 PM 63 Obs X01 X02 X03 X04 X05 X06 X07 X08 34 5.81 6.66 7.28 6.54 7.38 5.73 6.10 6.29 35 3.32 4.09 5.13 5.52 5.24 3.27 3.74 4.35 36 4.97 4.67 5.16 5.26 6.04 4.86 4.43 4.62 37 3.84 3.84 4.47 4.29 5.37 3.97 3.73 3.88 38 6.12 6.57 6.66 7.02 6.97 5.40 4.76 3.72 39 4.14 4.28 5.60 4.74 5.53 3.99 4.35 4.25 40 4.57 4.64 5.80 4.50 5.67 4.20 4.97 4.57 41 4.34 5.11 6.85 6.34 6.58 3.60 5.13 5.67 42 4.97 5.06 6.13 6.35 6.96 4.74 5.04 5.54 43 5.83 5.34 5.89 5.80 5.87 6.01 5.23 5.42 44 5.27 4.31 4.65 3.73 3.72 5.29 3.71 3.19 Obs X09 X10 Factor1 Factor2 Factor3 34 6.43 7.06 -0.30293 1.59537 0.70789 35 4.92 5.22 -2.03482 -0.12605 0.20052 36 5.85 6.05 -1.26849 -0.36328 0.88423 37 5.08 5.50 -1.89509 -1.20621 0.80434 38 5.33 6.09 -0.41669 2.08005 -1.13148 39 4.95 5.17 -1.46357 -0.30651 0.09232 40 4.92 5.35 -1.10443 -0.38650 0.17771 41 5.79 5.97 -1.45301 1.38140 0.33073 42 5.73 6.51 -1.27992 0.94078 0.77229 43 5.99 6.31 -0.39322 -0.07497 0.73287 44 3.50 3.35 -0.26212 -1.71808 -1.52731 Thursday, January 20, 2022 05:26:47 PM 64 Obs X01 X02 X03 X04 X05 X06 X07 X08 45 5.31 4.88 5.35 5.47 5.63 4.37 3.79 3.67 46 6.47 6.00 6.68 6.88 7.08 6.29 6.48 6.28 47 7.22 6.59 6.60 6.38 6.34 6.66 6.33 6.53 48 6.74 6.59 6.61 6.88 6.44 6.48 6.38 6.09 49 6.76 6.36 6.33 5.82 5.11 6.05 5.81 5.47 50 7.16 6.39 6.21 5.61 5.85 6.67 6.53 6.04 51 4.44 5.32 5.47 5.55 5.68 5.00 5.98 6.32 52 5.11 4.48 6.07 6.46 6.45 5.25 5.56 6.13 53 4.54 4.50 4.60 4.88 5.03 4.66 5.23 5.12 54 4.53 4.15 4.14 4.27 4.98 4.43 4.12 3.68 55 5.16 5.54 6.74 6.82 7.08 5.89 5.88 7.25 Obs X09 X10 Factor1 Factor2 Factor3 45 4.00 4.24 -0.87551 0.36442 -1.45428 46 6.67 7.31 -0.16998 1.02070 1.20891 47 5.88 6.46 0.63583 0.61175 0.31454 48 6.03 6.52 0.37990 0.98077 0.25102 49 5.42 4.88 0.71664 0.16859 -0.80951 50 5.96 5.80 0.78488 -0.11712 0.23883 51 5.79 6.22 -0.81773 -0.53556 1.38938 52 6.40 6.70 -1.14870 0.36039 1.51598 53 5.41 5.54 -1.03690 -1.34709 1.05532 54 4.97 5.55 -1.40109 -1.60511 0.69883 55 6.86 7.25 -0.81069 0.97495 1.78581 Thursday, January 20, 2022 05:26:47 PM 65 Obs X01 X02 X03 X04 X05 X06 X07 X08 56 6.33 6.39 5.49 5.86 5.68 5.81 5.42 5.91 57 4.84 5.58 5.74 5.55 6.00 5.07 5.17 5.72 58 4.61 3.71 4.35 4.47 4.86 4.33 4.27 3.92 59 3.51 3.39 4.69 4.61 4.42 3.18 2.93 3.56 60 5.31 5.09 5.11 4.17 4.46 5.25 5.15 4.69 61 5.83 6.38 7.23 5.48 5.59 6.46 7.44 7.06 62 4.18 4.61 5.45 4.60 4.67 4.68 4.73 5.04 63 4.60 5.08 6.11 6.02 5.50 4.64 5.74 5.75 64 4.83 5.14 6.23 5.88 6.29 5.48 5.59 5.58 65 4.55 4.49 4.65 4.98 5.34 4.57 4.02 4.62 66 4.00 3.95 5.51 5.00 5.15 4.45 4.63 5.38 Obs X09 X10 Factor1 Factor2 Factor3 56 5.71 6.31 0.06391 -0.19805 0.52323 57 6.01 6.30 -0.84558 -0.07022 1.00204 58 4.94 5.58 -1.45353 -1.55624 0.77366 59 4.14 3.61 -1.87419 -0.80189 -0.82669 60 4.41 4.20 -0.07720 -1.35315 -0.52660 61 6.49 6.13 0.61713 -0.03729 0.92253 62 4.95 5.25 -0.94621 -1.02106 0.38761 63 6.14 5.81 -0.86946 0.11766 0.78482 64 6.05 5.97 -0.80243 0.35516 0.76695 65 5.01 5.59 -1.32497 -0.88147 0.57518 66 4.06 5.22 -1.28652 -0.62238 0.22935 Thursday, January 20, 2022 05:26:47 PM 66 Obs X01 X02 X03 X04 X05 X06 X07 X08 67 7.60 6.75 7.19 7.40 7.29 7.50 7.09 7.11 68 5.12 5.31 6.21 6.12 6.74 4.99 5.11 5.06 69 5.66 5.92 6.95 6.42 6.55 5.48 6.17 5.83 70 5.09 4.61 5.11 5.06 5.35 4.63 4.48 4.17 71 4.97 3.72 4.16 3.64 4.31 4.19 3.49 3.16 72 4.58 4.96 6.02 5.43 5.39 4.66 4.23 4.22 73 3.91 3.91 5.09 5.98 5.79 2.83 2.32 2.76 74 4.56 5.13 6.68 7.15 6.45 3.32 3.64 4.22 75 3.92 4.19 4.95 4.85 4.76 2.09 2.56 2.66 76 6.13 6.29 7.05 6.76 6.63 6.52 6.81 7.21 77 6.08 6.73 6.56 5.80 5.48 5.77 6.00 5.96 Obs X09 X10 Factor1 Factor2 Factor3 67 7.69 7.49 0.64219 1.31803 1.38206 68 5.59 5.93 -0.95775 0.91945 0.20168 69 6.09 6.27 -0.31366 1.09840 0.36063 70 5.53 6.00 -1.12961 -0.68850 0.61995 71 3.79 3.93 -1.06469 -1.79143 -0.73646 72 4.14 4.39 -0.82067 0.42431 -1.22803 73 2.75 2.70 -1.93151 1.24431 -2.79268 74 4.28 3.59 -1.32110 2.52444 -2.34921 75 2.07 1.79 -1.52764 0.45513 -3.39881 76 6.83 7.35 0.07719 0.81349 1.46672 77 5.68 5.75 0.40443 0.32165 -0.13129 Thursday, January 20, 2022 05:26:47 PM 67 Obs X01 X02 X03 X04 X05 X06 X07 X08 78 6.20 6.75 6.23 6.58 5.49 5.02 6.31 6.28 79 7.40 7.27 6.75 6.70 6.82 6.27 6.25 5.04 80 8.05 6.84 6.72 6.34 5.90 7.82 7.02 6.29 81 7.80 6.59 6.42 6.18 5.78 7.60 6.57 5.94 82 6.97 5.31 5.25 4.83 4.21 6.73 5.06 4.73 83 6.87 6.86 6.23 5.56 4.96 5.60 5.77 4.49 84 7.60 6.60 5.80 5.32 5.33 6.90 6.35 5.51 85 6.96 5.61 4.34 4.28 4.15 6.46 5.70 5.31 86 5.71 5.58 5.46 5.10 5.57 5.46 5.94 5.19 87 5.30 5.88 5.35 5.24 5.68 5.17 5.91 5.06 88 7.09 6.39 5.60 6.18 5.81 7.12 6.69 5.96 Obs X09 X10 Factor1 Factor2 Factor3 78 6.18 5.76 0.23362 0.54820 0.10203 79 6.36 5.16 0.76876 1.58079 -0.97364 80 6.73 6.11 1.40748 0.26684 0.26412 81 5.91 5.21 1.32866 0.25338 -0.45881 82 4.16 4.25 0.81477 -1.21591 -1.10941 83 3.87 3.34 1.11000 0.51805 -2.62294 84 5.49 5.67 1.10777 -0.56784 -0.13750 85 4.77 4.19 0.89228 -2.11145 -0.27693 86 5.78 6.23 -0.28930 -0.71721 0.87336 87 5.56 6.10 -0.40745 -0.50315 0.66564 88 6.28 6.60 0.66531 -0.37165 0.91312 Thursday, January 20, 2022 05:26:47 PM 68 Obs X01 X02 X03 X04 X05 X06 X07 X08 89 6.93 6.73 5.60 5.63 6.13 7.13 6.66 6.42 90 7.46 6.19 5.42 4.70 3.68 7.33 6.73 5.58 91 6.38 5.28 5.07 3.96 4.25 6.28 5.21 4.65 92 7.41 6.97 5.91 4.96 4.86 7.19 6.72 5.98 93 7.77 6.47 5.71 5.26 4.91 7.72 7.03 6.42 94 7.96 7.13 6.36 6.18 5.71 7.92 7.59 6.87 95 7.62 6.48 5.75 4.69 4.65 7.82 7.17 6.31 96 8.44 7.52 6.82 6.88 6.05 8.48 8.33 7.25 97 7.81 7.31 6.93 7.42 6.60 8.10 7.56 7.79 98 8.29 7.45 7.00 6.76 6.69 8.14 7.09 6.83 99 7.20 6.42 6.23 5.92 5.91 6.98 6.44 6.04 Obs X09 X10 Factor1 Factor2 Factor3 89 6.44 6.50 0.69530 -0.51156 1.12591 90 4.18 3.39 1.90502 -1.56170 -1.44041 91 4.49 4.64 0.49897 -1.77171 -0.41636 92 5.53 5.52 1.45010 -0.95718 -0.05537 93 5.52 5.46 1.56939 -1.13958 0.19104 94 6.77 6.43 1.56607 -0.24713 0.79737 95 5.53 5.58 1.64067 -1.55930 0.37290 96 6.83 6.55 1.98050 0.32064 0.62257 97 7.82 7.67 1.18183 0.72874 1.67768 98 6.83 7.13 1.41879 0.79717 0.65509 99 6.14 6.02 0.78515 0.01022 0.33641 Thursday, January 20, 2022 05:26:47 PM 69 Obs X01 X02 X03 X04 X05 X06 X07 X08 X09 X10 Factor1 Factor2 Factor3 100 7.62 7.33 6.91 6.9 6.47 7.33 6.69 7.23 6.79 6.7 1.06596 0.90241 0.58097 Thursday, January 20, 2022 05:26:47 PM 70 Plot of Factor1*Factor2. Legend: A = 1 obs, B = 2 obs, etc. 2 + A | A | | | A A A A | | A A |A B A Factor1 | A A | A A A | A B AA B A | A A AA A B A A A A A | A A | A A A A A | A A |A B 0 +-------------------A------------A-+-A-A----A--A---------------------- | A A AA A | AA A | A A| A A A | AA | | A A A|A BA AA | A AA A A | A | A A A A | A A | A A | B A | A | -2 + A A| A --+----------+----------+----------+----------+----------+----------+- -3 -2 -1 0 1 2 3 Factor2 Thursday, January 20, 2022 05:26:47 PM 71 Plot of Factor2*Factor3. Legend: A = 1 obs, B = 2 obs, etc. 4 + | | | | | | | | A A | | | 2 + A | | A A | AA A | A | A A A Factor2 | A | AAA A A A A | A A |AAA A A A | A B A B BAA A| A AAA A A A 0 +-------------------------------------A-----A-+-AAA---AAAA------------ | AA A|AB A A AB A | A A AAA A A | A B A A A | A A| A A A | A AAA A | A A | AA A A | A AA -2 + A | --+----------+----------+----------+----------+----------+----------+- -4 -3 -2 -1 0 1 2 Factor3 Thursday, January 20, 2022 05:26:47 PM 72 Plot of Factor3*Factor1. Legend: A = 1 obs, B = 2 obs, etc. 2 + | | A A | A A | A A |AA A A | A A A A A | AB | A AAB A AA CA AA A A A A | A A A A B A A | B A B A AA 0 +---------------------A------------------+--AAA-A------A----B--------- | A A AA | AA A AA A B | A A A| AA AAAAA A Factor3 | A A A A| AA | B |A A A | A | A -2 + | | A | | A | A | | | A | | | -4 + | --+------------+------------+------------+------------+------------+-- -3 -2 -1 0 1 2 Factor1