Factor Analysis using method =  pa
Call: fa(r = DT, nfactors = 4, rotate = "promax", fm = "pa")
Standardized loadings (pattern matrix) based upon correlation matrix

                       PA1  PA2  PA4  PA3
SS loadings           5.27 2.80 1.47 1.02
Proportion Var        0.20 0.10 0.05 0.04
Cumulative Var        0.20 0.30 0.35 0.39
Proportion Explained  0.50 0.27 0.14 0.10
Cumulative Proportion 0.50 0.76 0.90 1.00

 With factor correlations of 
      PA1   PA2  PA4   PA3
PA1  1.00  0.60 0.63 -0.16
PA2  0.60  1.00 0.33 -0.19
PA4  0.63  0.33 1.00  0.04
PA3 -0.16 -0.19 0.04  1.00

Mean item complexity =  1.5
Test of the hypothesis that 4 factors are sufficient.

df null model =  351  with the objective function =  8.99 with Chi Square =  153333.5
df of  the model are 249  and the objective function was  0.6 

The root mean square of the residuals (RMSR) is  0.03 
The df corrected root mean square of the residuals is  0.03 

The harmonic n.obs is  17073 with the empirical chi square  7905.98  with prob <  0 
The total n.obs was  17073  with Likelihood Chi Square =  10228.68  with prob <  0 

Tucker Lewis Index of factoring reliability =  0.908
RMSEA index =  0.048  and the 90 % confidence intervals are  0.048 0.049
BIC =  7802.12
Fit based upon off diagonal values = 0.99
Measures of factor score adequacy             
                                                   PA1  PA2  PA4  PA3
Correlation of (regression) scores with factors   0.96 0.91 0.86 0.78
Multiple R square of scores with factors          0.91 0.83 0.73 0.60
Minimum correlation of possible factor scores     0.83 0.65 0.47 0.20
