pfdata: Pearson correlation matrix 1 12:19 Wednesday, December 23, 2015 The CORR Procedure 6 Variables: q1 q2 q3 q4 q5 q6 Cronbach Coefficient Alpha Variables Alpha ---------------------------- Raw 0.927569 Standardized 0.932400 Cronbach Coefficient Alpha with Deleted Variable Raw Variables Standardized Variables Deleted Correlation Correlation Variable with Total Alpha with Total Alpha ------------------------------------------------------------------------ q1 0.833763 0.908280 0.836357 0.915363 q2 0.857402 0.905634 0.863644 0.911805 q3 0.752182 0.920783 0.761471 0.924950 q4 0.802958 0.912751 0.794871 0.920706 q5 0.714751 0.928352 0.706675 0.931804 q6 0.835175 0.909878 0.844749 0.914272 Pearson Correlation Coefficients, N = 351254 q1 q2 q3 q4 q5 q6 q1 1.00000 0.83503 0.68099 0.69548 0.64587 0.75709 q2 0.83503 1.00000 0.74314 0.70944 0.62503 0.80007 q3 0.68099 0.74314 1.00000 0.61311 0.51505 0.78673 q4 0.69548 0.70944 0.61311 1.00000 0.74499 0.69991 q5 0.64587 0.62503 0.51505 0.74499 1.00000 0.60100 q6 0.75709 0.80007 0.78673 0.69991 0.60100 1.00000 Program Name: ordalph_setup.sas on 12/23/2015 12:19:10 pfdata: Pearson correlation matrix 2 12:19 Wednesday, December 23, 2015 item q1 q2 q3 q4 q5 q6 q1 1.000 0.835 0.681 0.695 0.646 0.757 q2 0.835 1.000 0.743 0.709 0.625 0.800 q3 0.681 0.743 1.000 0.613 0.515 0.787 q4 0.695 0.709 0.613 1.000 0.745 0.700 q5 0.646 0.625 0.515 0.745 1.000 0.601 q6 0.757 0.800 0.787 0.700 0.601 1.000 Program Name: ordalph_setup.sas on 12/23/2015 12:19:10 pfdata: Polychoric correlation matrix 3 12:19 Wednesday, December 23, 2015 item q1 q2 q3 q4 q5 q6 q1 1.000 0.956 0.906 0.878 0.872 0.928 q2 0.956 1.000 0.931 0.903 0.874 0.944 q3 0.906 0.931 1.000 0.882 0.843 0.940 q4 0.878 0.903 0.882 1.000 0.914 0.927 q5 0.872 0.874 0.843 0.914 1.000 0.897 q6 0.928 0.944 0.940 0.927 0.897 1.000 Program Name: ordalph_setup.sas on 12/23/2015 12:19:10 pfdata: Factor Analysis on Polychoric matrix 4 12:19 Wednesday, December 23, 2015 The FACTOR Procedure Input Data Type Correlations N Set/Assumed in Data Set 351254 N for Significance Tests 351254 Program Name: ordalph_setup.sas on 12/23/2015 12:19:10 pfdata: Factor Analysis on Polychoric matrix 5 12:19 Wednesday, December 23, 2015 The FACTOR Procedure Initial Factor Method: Maximum Likelihood Prior Communality Estimates: SMC q1 q2 q3 q4 q5 q6 0.92365721 0.94470564 0.90220643 0.89806872 0.86081730 0.94177968 Preliminary Eigenvalues: Total = 69.5809293 Average = 11.5968215 Eigenvalue Difference Proportion Cumulative 1 69.4310213 68.5260951 0.9978 0.9978 2 0.9049263 0.6155749 0.0130 1.0109 3 0.2893513 0.5372033 0.0042 1.0150 4 -0.2478520 0.0916002 -0.0036 1.0114 5 -0.3394521 0.1176134 -0.0049 1.0066 6 -0.4570655 -0.0066 1.0000 1 factor will be retained by the NFACTOR criterion. Iteration Criterion Ridge Change Communalities 1 0.5227824 0.0000 0.0250 0.91882 0.94896 0.90201 0.88003 0.83581 0.95434 2 0.5218518 0.0000 0.0039 0.92012 0.94795 0.90595 0.87981 0.83351 0.95306 3 0.5218064 0.0000 0.0006 0.91985 0.94851 0.90566 0.87925 0.83318 0.95329 Convergence criterion satisfied. Significance Tests Based on 351254 Observations Pr > Test DF Chi-Square ChiSq H0: No common factors 15 3880789.49 <.0001 HA: At least one common factor H0: 1 Factor is sufficient 9 183284.240 <.0001 HA: More factors are needed Program Name: ordalph_setup.sas on 12/23/2015 12:19:10 pfdata: Factor Analysis on Polychoric matrix 6 12:19 Wednesday, December 23, 2015 The FACTOR Procedure Initial Factor Method: Maximum Likelihood Chi-Square without Bartlett's Correction 183286.07 Akaike's Information Criterion 183268.07 Schwarz's Bayesian Criterion 183171.14 Tucker and Lewis's Reliability Coefficient 0.92 Squared Canonical Correlations Factor1 0.98633527 Eigenvalues of the Weighted Reduced Correlation Matrix: Total = 72.181115 Average = 12.0301858 Eigenvalue Difference Proportion Cumulative 1 72.1811059 71.4374421 1.0000 1.0000 2 0.7436638 0.4305665 0.0103 1.0103 3 0.3130973 0.5329263 0.0043 1.0146 4 -0.2198289 0.1214410 -0.0030 1.0116 5 -0.3412699 0.1543832 -0.0047 1.0069 6 -0.4956531 -0.0069 1.0000 Factor Pattern Factor1 q1 0.95915 q2 0.97390 q3 0.95170 q4 0.93768 q5 0.91274 q6 0.97634 Variance Explained by Each Factor Factor Weighted Unweighted Factor1 72.1811059 5.43974893 Program Name: ordalph_setup.sas on 12/23/2015 12:19:10 pfdata: Factor Analysis on Polychoric matrix 7 12:19 Wednesday, December 23, 2015 The FACTOR Procedure Initial Factor Method: Maximum Likelihood Final Communality Estimates and Variable Weights Total Communality: Weighted = 72.181106 Unweighted = 5.439749 Variable Communality Weight q1 0.91997617 12.4765103 q2 0.94847520 19.4205013 q3 0.90573356 10.5995660 q4 0.87924027 8.2816972 q5 0.83308738 5.9943733 q6 0.95323635 21.4084669 Program Name: ordalph_setup.sas on 12/23/2015 12:19:10 pfdata: IML input=pearsonc 8 12:19 Wednesday, December 23, 2015 The Input Correlation itemcor 1 0.8350327 0.6809904 0.6954845 0.6458673 0.7570943 0.8350327 1 0.7431426 0.7094365 0.6250305 0.8000688 0.6809904 0.7431426 1 0.6131084 0.5150455 0.7867286 0.6954845 0.7094365 0.6131084 1 0.7449947 0.6999119 0.6458673 0.6250305 0.5150455 0.7449947 1 0.6009975 0.7570943 0.8000688 0.7867286 0.6999119 0.6009975 1 numbitem Number of items 6 alpha 0.9324004 Theta theta 0.9329826 Program Name: ordalph_setup.sas on 12/23/2015 12:19:10 pfdata: IML input=polycorr 9 12:19 Wednesday, December 23, 2015 The Input Correlation itemcor 1 0.9564111 0.9060553 0.8784835 0.8717454 0.9283596 0.9564111 1 0.9308338 0.9028814 0.8744958 0.943748 0.9060553 0.9308338 1 0.8815739 0.8431046 0.9402031 0.8784835 0.9028814 0.8815739 1 0.9142043 0.9267331 0.8717454 0.8744958 0.8431046 0.9142043 1 0.8969335 0.9283596 0.943748 0.9402031 0.9267331 0.8969335 1 numbitem Number of items 6 alpha 0.9830772 Theta theta 0.9831203 Program Name: ordalph_setup.sas on 12/23/2015 12:19:10