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