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                                DATE: 11/26/2012
                                  TIME: 14:11


                          L I S R E L  9.10 (STUDENT)

                                       BY

                         Karl G. Jreskog & Dag Srbom



                    This program is published exclusively by
                    Scientific Software International, Inc.
                         http://www.ssicentral.com

        Copyright by Scientific Software International, Inc., 1981-2012
          Use of this program is subject to the terms specified in the
                        Universal Copyright Convention.

 The following lines were read from file C:\Users\Sacha\Documents\lisrel\mi1.lis:

 title groups
 da No=1868 ni=4 ng=2
 cm sy
 8.24
 2.84       8.47
 3.54       3.24       9.06
 2.55       2.40       2.86       9.36
 Me
 10.41      10.37      10.73      10.41
 la
 pc         pa         oa         ma
 mo ly=fu,fr ps=sy,fr te=sy,fr ne=1 ny=4 ty=fu,fr al=fu,fi
 le
 perfIQ
 pa ly
 0 2 3 4
 ma ly
 1 0 0 0
 ma al
 0
 pa ps
 1
 pa te
 1
 0 1
 0 0 1
 0 0 0 1
 ! pa ty
 ! 21 22 23 24
 ou

 groups                                                                         

                           Number of Input Variables  4
                           Number of Y - Variables    4
                           Number of X - Variables    0
                           Number of ETA - Variables  1
                           Number of KSI - Variables  0
                           Number of Observations   305
                           Number of Groups           2
 title N=305  Group 2
 da no=305 ni=4
 cm sy
 9.18
 3.40       9.18
 4.39       3.68       8.76
 3.51       3.12       1.81      10.37
 Me
 8.12       8.10       7.89       8.39
 la
 pc         pa         oa         ma
 mo ly=fu,fr ps=sy,fr te=sy,fr ne=1 ny=4 ty=in al=fu,fr
 ! note ty=in
 le
 perfIQ
 pa ly
 0 2 3 4
 ma ly
 1 0 0 0
 ma al
 -2
 pa al ! estimate the mean in group 2. this parameter is the mean difference!
 1
 pa te
 1
 0 1
 0 0 1
 0 0 0 1
 ! pa ty   ! i used ty=in on the mo line. parameter number is an alternative
 ! 21 22 23 24
 ou mi

 title N=305  Group 2                                                           

                           Number of Input Variables  4
                           Number of Y - Variables    4
                           Number of X - Variables    0
                           Number of ETA - Variables  1
                           Number of KSI - Variables  0
                           Number of Observations   305
                           Number of Groups           2

 groups                                                                         

         Covariance Matrix       

                  pc         pa         oa         ma   
            --------   --------   --------   --------
       pc      8.240
       pa      2.840      8.470
       oa      3.540      3.240      9.060
       ma      2.550      2.400      2.860      9.360

 Total Variance = 35.130 Generalized Variance = 3453.917                                

 Largest Eigenvalue = 17.538 Smallest Eigenvalue = 5.085                                   

 Condition Number = 1.857

         Means   

                  pc         pa         oa         ma   
            --------   --------   --------   --------
              10.410     10.370     10.730     10.410

 title N=305  Group 2                                                           

         Covariance Matrix       

                  pc         pa         oa         ma   
            --------   --------   --------   --------
       pc      9.180
       pa      3.400      9.180
       oa      4.390      3.680      8.760
       ma      3.510      3.120      1.810     10.370

 Total Variance = 37.490 Generalized Variance = 3827.891                                

 Largest Eigenvalue = 19.362 Smallest Eigenvalue = 4.152                                   

 Condition Number = 2.159

         Means   

                  pc         pa         oa         ma   
            --------   --------   --------   --------
               8.120      8.100      7.890      8.390


 groups                                                                         

 Parameter Specifications

 LAMBDA-Y EQUALS LAMBDA-Y IN THE FOLLOWING GROUP

         PSI         

              perfIQ
            --------
                   4

         THETA-EPS   

                  pc         pa         oa         ma
            --------   --------   --------   --------
                   5          6          7          8

 TAU-Y EQUALS TAU-Y IN THE FOLLOWING GROUP


 title N=305  Group 2                                                           

 Parameter Specifications

         LAMBDA-Y    

              perfIQ
            --------
       pc          0
       pa          1
       oa          2
       ma          3

         PSI         

              perfIQ
            --------
                  13

         THETA-EPS   

                  pc         pa         oa         ma
            --------   --------   --------   --------
                  14         15         16         17

         TAU-Y       

                  pc         pa         oa         ma
            --------   --------   --------   --------
                   9         10         11         12

         ALPHA       

              perfIQ
            --------
                  18
 


 groups                                                                         

 Number of Iterations = 7           

 LISREL Estimates (Maximum Likelihood)                           

 LAMBDA-Y EQUALS LAMBDA-Y IN THE FOLLOWING GROUP

         Covariance Matrix of ETA                

              perfIQ   
            --------
               3.210

         PSI         

              perfIQ   
            --------
               3.210
             (0.477)
               6.728
 

         THETA-EPS   

                  pc         pa         oa         ma   
            --------   --------   --------   --------
               5.088      5.787      5.150      7.311
             (0.542)    (0.570)    (0.584)    (0.658)
               9.393     10.158      8.817     11.109
 

         Squared Multiple Correlations for Y - Variables         

                  pc         pa         oa         ma   
            --------   --------   --------   --------
               0.387      0.321      0.429      0.213

 TAU-Y EQUALS TAU-Y IN THE FOLLOWING GROUP

                                 Log-likelihood Values

                        Estimated Model          Saturated Model
                        ---------------          ---------------
 Number of free parameters(t)        18                       14
 -2ln(L)                       7448.841                 7428.988
 AIC (Akaike, 1974)*           7484.841                 7456.988
 BIC (Schwarz, 1978)*          7564.254                 7518.753

*LISREL uses AIC= 2t - 2ln(L) and BIC = tln(N)- 2ln(L)


                         Group Goodness of Fit Statistics

 Contribution to Chi-Square                            6.075
 Percentage Contribution to Chi-Square                 30.601
 
 Root Mean Square Residual (RMR)                       0.0661
 Standardized RMR                                      0.00754
 Goodness of Fit Index (GFI)                           1.00

 groups                                                                         

 Modification Indices and Expected Change

         Modification Indices for LAMBDA-Y       

              perfIQ   
            --------
       pc      0.047
       pa      0.040
       oa      0.033
       ma      0.078

         Expected Change for LAMBDA-Y    

              perfIQ   
            --------
       pc     -0.031
       pa     -0.021
       oa      0.022
       ma      0.029

 No Non-Zero Modification Indices for PSI         

         Modification Indices for THETA-EPS      

                  pc         pa         oa         ma   
            --------   --------   --------   --------
       pc       - - 
       pa      0.107       - - 
       oa      0.009      0.000       - - 
       ma       - -       0.030      0.013       - - 

         Expected Change for THETA-EPS   

                  pc         pa         oa         ma   
            --------   --------   --------   --------
       pc       - - 
       pa     -0.146       - - 
       oa      0.047     -0.003       - - 
       ma       - -       0.079      0.053       - - 

         Modification Indices for TAU-Y          

                  pc         pa         oa         ma   
            --------   --------   --------   --------
               2.641      0.005      1.599      0.258

         Expected Change for TAU-Y       

                  pc         pa         oa         ma   
            --------   --------   --------   --------
              -0.091     -0.004      0.067      0.039

 No Non-Zero Modification Indices for ALPHA       


 title N=305  Group 2                                                           

 Number of Iterations = 7           

 LISREL Estimates (Maximum Likelihood)                           

         LAMBDA-Y    

              perfIQ   
            --------
       pc      1.000
 
       pa      0.923
             (0.070)
              13.097
 
       oa      1.098
             (0.077)
              14.253
 
       ma      0.784
             (0.071)
              11.064
 

         Covariance Matrix of ETA                

              perfIQ   
            --------
               3.693

         Mean Vector of Eta-Variables

              perfIQ   
            --------
              -2.469

         PSI         

              perfIQ   
            --------
               3.693
             (0.530)
               6.964
 

         THETA-EPS   

                  pc         pa         oa         ma   
            --------   --------   --------   --------
               5.006      5.963      4.681      8.356
             (0.543)    (0.588)    (0.564)    (0.743)
               9.215     10.147      8.302     11.242
 

         Squared Multiple Correlations for Y - Variables         

                  pc         pa         oa         ma   
            --------   --------   --------   --------
               0.425      0.345      0.488      0.214

         TAU-Y       

                  pc         pa         oa         ma   
            --------   --------   --------   --------
              10.500     10.374     10.663     10.371
             (0.155)    (0.155)    (0.164)    (0.157)
              67.597     67.101     65.159     65.999
 

         ALPHA       

              perfIQ   
            --------
              -2.469
             (0.209)
             -11.825
 

                                 Log-likelihood Values

                        Estimated Model          Saturated Model
                        ---------------          ---------------
 Number of free parameters(t)        18                       14
 -2ln(L)                       7448.841                 7428.988
 AIC (Akaike, 1974)*           7484.841                 7456.988
 BIC (Schwarz, 1978)*          7564.254                 7518.753

*LISREL uses AIC= 2t - 2ln(L) and BIC = tln(N)- 2ln(L)


                        Global Goodness of Fit Statistics

 Degrees of Freedom for (C1)-(C2)                      10
 Maximum Likelihood Ratio Chi-Square (C1)              19.853 (P = 0.0307)
 Browne's (1984) ADF Chi-Square (C2_NT)                -19927.496 (P = 0.0000)
 Estimated Non-centrality Parameter (NCP)              9.853
 90 Percent Confidence Interval for NCP                (0.863 ; 26.584)
 
 Minimum Fit Function Value                            0.0326
 Population Discrepancy Function Value (F0)            0.0162
 90 Percent Confidence Interval for F0                 (0.00142 ; 0.0437)
 Root Mean Square Error of Approximation (RMSEA)       0.0569
 90 Percent Confidence Interval for RMSEA              (0.0168 ; 0.0934)
 P-Value for Test of Close Fit (RMSEA < 0.05)          0.336
 
 Expected Cross-Validation Index (ECVI)                0.0917
 90 Percent Confidence Interval for ECVI               (0.0638 ; 0.106)
 ECVI for Saturated Model                              0.0328
 ECVI for Independence Model                           0.756
 
 Chi-Square for Independence Model (12 df)           452.673
 
 Normed Fit Index (NFI)                                45.094
 Non-Normed Fit Index (NNFI)                           55.384
 Parsimony Normed Fit Index (PNFI)                     37.579
 Comparative Fit Index (CFI)                           1.000
 Incremental Fit Index (IFI)                           46.115
 Relative Fit Index (RFI)                              53.913
 
 Critical N (CN)                                       0.292
 


                         Group Goodness of Fit Statistics

 Contribution to Chi-Square                            6.156
 Percentage Contribution to Chi-Square                 31.008
 
 Root Mean Square Residual (RMR)                       0.548
 Standardized RMR                                      0.0568
 Goodness of Fit Index (GFI)                           0.974

 title N=305  Group 2                                                           

 Modification Indices and Expected Change

         Modification Indices for LAMBDA-Y       

              perfIQ   
            --------
       pc      0.046
       pa     24.536
       oa     -0.099
       ma      0.173

         Expected Change for LAMBDA-Y    

              perfIQ   
            --------
       pc      0.031
       pa      3.996
       oa      0.015
       ma     -0.035

 No Non-Zero Modification Indices for PSI         

         Modification Indices for THETA-EPS      

                  pc         pa         oa         ma   
            --------   --------   --------   --------
       pc       - - 
       pa      1.634       - - 
       oa      2.337      0.072       - - 
       ma      4.045      2.824     16.503       - - 

         Expected Change for THETA-EPS   

                  pc         pa         oa         ma   
            --------   --------   --------   --------
       pc       - - 
       pa     -0.590       - - 
       oa      0.786      0.131       - - 
       ma      0.958      0.817     -2.009       - - 

         Modification Indices for TAU-Y          

                  pc         pa         oa         ma   
            --------   --------   --------   --------
              -3.923     -0.001      0.100     -0.086

         Expected Change for TAU-Y       

                  pc         pa         oa         ma   
            --------   --------   --------   --------
              -0.203      0.004     -0.121     -0.011

 No Non-Zero Modification Indices for ALPHA       

 Max. Mod. Index is   24.54 for Element ( 2, 1) of LAMBDA-Y in Group  2

                           Time used 0.016 seconds