Monday, November 1, 2021 09:37:03 PM 9 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 Monday, November 1, 2021 09:37:03 PM 10 The FACTOR Procedure Input Data Type Raw Data Number of Records Read 100 Number of Records Used 100 N for Significance Tests 100 Monday, November 1, 2021 09:37:03 PM 11 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. Monday, November 1, 2021 09:37:03 PM 12 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 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 Monday, November 1, 2021 09:37:03 PM 13 The FACTOR Procedure Initial Factor Method: Principal Components Scoring Coefficients Estimated by Regression Squared Multiple Correlations of the Variables with Each Factor Factor1 Factor2 Factor3 1.0000000 1.0000000 1.0000000 Standardized Scoring Coefficients Factor1 Factor2 Factor3 X01 M(-15) 0.10946 -0.33626 0.22279 X02 M(16-20) 0.12680 -0.18069 0.38691 X03 M(21-30) 0.12374 0.12531 0.50920 X04 M(31-40) 0.11455 0.27018 0.43215 X05 M(41-) 0.09978 0.38212 0.14670 X06 F(-15) 0.11811 -0.30729 -0.09636 X07 F(16-20) 0.13175 -0.19038 -0.19733 X08 F(21-30) 0.13313 -0.02434 -0.33282 X09 F(31-40) 0.13227 0.12383 -0.37099 X10 F(41-) 0.11609 0.20136 -0.60162 Monday, November 1, 2021 09:37:03 PM 14 Plot of Factor1*Factor2. Legend: A = 1 obs, B = 2 obs, etc. Factor1 | | | | 3 + | | | | | | | A 2 + |A | A A | A | A|A A | A A | A A 1 + A A A A A A | A A C A |AB A | A AA A AA | A A A | A A A BA A AA A A A 0 +-------------------A------------------A-A-----B--A-AAA---A-----A--A-- | A A A | A | A A| A A | A A A A A A A | A B A -1 + A A | A AB A A | A | A A | | AA A | A | -2 + A A | A A | | | | A | | -3 + | | | --+------------+------------+------------+------------+------------+-- -3 -2 -1 0 1 2 Factor2 Monday, November 1, 2021 09:37:03 PM 15 Plot of Factor2*Factor3. Legend: A = 1 obs, B = 2 obs, etc. Factor2 | | | | 2 + | A | A A | A | A | A | A | AA A | A | A A 1 + A A AA A| A | A A B A | A | A AA A A A| A A | A A A | A A AA A | AA AAA A | B A A 0 +----------A----B-A-----+-AB------------------------------------------ | B | BA | A A A| A A A A | A AA| A AAA | A | A -1 + A A A AA | A A A A | A AAA | A A A| A | A | -2 + AA | | | | | | | | | A -3 + | | | --+----------+----------+----------+----------+----------+----------+- -2 -1 0 1 2 3 4 Factor3