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
