1 EQS, A STRUCTURAL EQUATION PROGRAM MULTIVARIATE SOFTWARE, INC. COPYRIGHT BY P.M. BENTLER VERSION 5.7b (C) 1985 - 1998. PROGRAM CONTROL INFORMATION 1 /TITLE 2 unconditional,linear growth model of antisocial data 3 /SPECIFICATIONS 4 DATA='e:\anti\antiread.dat'; VARIABLES=11; 5 METHODS=ML; MATRIX=RAW; analysis=moment; 6 /LABELS 7 v1=anti1; v2=anti2; v3=anti3; v4=anti4; 8 v5=read1; v6=read2; v7=read3; v8=read4; 9 v9=gender; v10=homecog; v11=subjid; 10 f1=anti-int; f2=anti-slp; 11 /EQUATIONS 12 V1 = 1F1 + 0F2 + E1; 13 V2 = 1F1 + 1F2 + E2; 14 V3 = 1F1 + 2F2 + E3; 15 V4 = 1F1 + 3F2 + E4; 16 V9 = *v999 + e9; 17 V10 = *v999 + e10; 18 F1 = *v999 + *v9 + *v10 + D1; 19 F2 = *v999 + *v9 + *v10 + D2; 20 /VARIANCES 21 E1 TO E4= .2*; e9 to e10 = *; 22 D1=1*; D2=.1*; 23 /COVARIANCES 24 e10,e9=*; 25 D2,D1 = .1*; 26 /CON 27 (E1,E1)=(E2,E2)=(E3,E3)=(E4,E4); 28 /PRINT 29 fit=all; 30 /LMTEST 31 /END 31 RECORDS OF INPUT MODEL FILE WERE READ ***WARNING***USER SPECIFIED ***** INPUT CASES, BUT ONLY 221 CASES WERE FOUND IN DATA FILE. THE CASE NUMBER IN DATA FILE WILL BE USED TO COMPUTE CHI-SQUARES. TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 2 EQS/EM386 Licensee: Patrick J. Curran SAMPLE STATISTICS BASED ON COMPLETE CASES UNIVARIATE STATISTICS --------------------- VARIABLE ANTI1 ANTI2 ANTI3 ANTI4 GENDER MEAN 1.4932 1.8371 1.8778 2.0679 0.5249 SKEWNESS (G1) 1.2533 1.0157 1.1001 0.9718 -0.0997 KURTOSIS (G2) 1.5925 0.6037 1.3936 0.3598 -1.9901 STANDARD DEV. 1.5392 1.7916 1.8011 2.0846 0.5005 VARIABLE HOMECOG V999 MEAN 9.0995 1.0000 SKEWNESS (G1) -0.3739 0.0000 KURTOSIS (G2) -0.4104 0.0000 STANDARD DEV. 2.4549 0.0000 MULTIVARIATE KURTOSIS --------------------- MARDIA'S COEFFICIENT (G2,P) = 7.8378 NORMALIZED ESTIMATE = 5.9460 ELLIPTICAL THEORY KURTOSIS ESTIMATES ------------------------------------ MARDIA-BASED KAPPA = 0.1633 MEAN SCALED UNIVARIATE KURTOSIS = 0.0861 MARDIA-BASED KAPPA IS USED IN COMPUTATION. KAPPA= 0.1633 CASE NUMBERS WITH LARGEST CONTRIBUTION TO NORMALIZED MULTIVARIATE KURTOSIS: --------------------------------------------------------------------------- CASE NUMBER 69 82 90 120 190 ESTIMATE 773.3316 313.7752 278.7416 262.6470 256.1648 TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 3 EQS/EM386 Licensee: Patrick J. Curran MATRIX CONTAINS SPECIAL VARIABLE V999, THE UNIT CONSTANT COVARIANCE MATRIX IS IN UPPER TRIANGLE; MEANS ARE IN BOTTOM ROW OF MATRIX COVARIANCE/MEAN MATRIX TO BE ANALYZED: 6 VARIABLES (SELECTED FROM 11 VARIABLES), BASED ON 221 CASES. ANTI1 ANTI2 ANTI3 ANTI4 GENDER V 1 V 2 V 3 V 4 V 9 ANTI1 V 1 2.369 ANTI2 V 2 1.158 3.210 ANTI3 V 3 1.224 1.630 3.244 ANTI4 V 4 1.348 2.002 2.240 4.345 GENDER V 9 0.144 0.177 0.155 0.219 0.251 HOMECOG V 10 -0.195 -0.966 -0.865 -1.139 -0.007 V999 V999 1.493 1.837 1.878 2.068 0.525 HOMECOG V999 V 10 V999 HOMECOG V 10 6.026 V999 V999 9.100 1.000 BENTLER-WEEKS STRUCTURAL REPRESENTATION: NUMBER OF DEPENDENT VARIABLES = 8 DEPENDENT V'S : 1 2 3 4 9 10 DEPENDENT F'S : 1 2 NUMBER OF INDEPENDENT VARIABLES = 9 INDEPENDENT V'S : 999 INDEPENDENT E'S : 1 2 3 4 9 10 INDEPENDENT D'S : 1 2 NUMBER OF FREE PARAMETERS = 18 NUMBER OF FIXED NONZERO PARAMETERS = 16 3RD STAGE OF COMPUTATION REQUIRED 3665 WORDS OF MEMORY. PROGRAM ALLOCATED 100000 WORDS DETERMINANT OF INPUT MATRIX IS 0.43897E+02 TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 4 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) PARAMETER ESTIMATES APPEAR IN ORDER, NO SPECIAL PROBLEMS WERE ENCOUNTERED DURING OPTIMIZATION. ALL EQUALITY CONSTRAINTS WERE CORRECTLY IMPOSED RESIDUAL COVARIANCE/MEAN MATRIX (S-SIGMA) : ANTI1 ANTI2 ANTI3 ANTI4 GENDER V 1 V 2 V 3 V 4 V 9 ANTI1 V 1 -0.135 ANTI2 V 2 0.038 0.306 ANTI3 V 3 -0.046 0.015 -0.252 ANTI4 V 4 -0.074 0.139 -0.064 0.064 GENDER V 9 0.001 0.013 -0.029 0.015 0.000 HOMECOG V 10 0.187 -0.311 0.062 0.062 0.000 V999 V999 -0.061 0.106 -0.029 -0.016 0.000 HOMECOG V999 V 10 V999 HOMECOG V 10 0.000 V999 V999 0.000 0.000 AVERAGE ABSOLUTE COVARIANCE RESIDUALS = 0.0723 AVERAGE OFF-DIAGONAL ABSOLUTE COVARIANCE RESIDUALS = 0.0604 STANDARDIZED RESIDUAL MATRIX: ANTI1 ANTI2 ANTI3 ANTI4 GENDER V 1 V 2 V 3 V 4 V 9 ANTI1 V 1 -0.057 ANTI2 V 2 0.014 0.095 ANTI3 V 3 -0.017 0.005 -0.078 ANTI4 V 4 -0.023 0.037 -0.017 0.015 GENDER V 9 0.001 0.015 -0.032 0.014 0.000 HOMECOG V 10 0.049 -0.071 0.014 0.012 0.000 V999 V999 -0.040 0.059 -0.016 -0.008 0.000 HOMECOG V999 V 10 V999 HOMECOG V 10 0.000 V999 V999 0.000 0.000 AVERAGE ABSOLUTE STANDARDIZED RESIDUALS = 0.0246 AVERAGE OFF-DIAGONAL ABSOLUTE STANDARDIZED RESIDUALS = 0.0211 TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 5 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) LARGEST STANDARDIZED RESIDUALS: V 2,V 2 V 3,V 3 V 10,V 2 V999,V 2 V 1,V 1 0.095 -0.078 -0.071 0.059 -0.057 V 10,V 1 V999,V 1 V 4,V 2 V 9,V 3 V 4,V 1 0.049 -0.040 0.037 -0.032 -0.023 V 4,V 3 V 3,V 1 V999,V 3 V 4,V 4 V 9,V 2 -0.017 -0.017 -0.016 0.015 0.015 V 10,V 3 V 9,V 4 V 2,V 1 V 10,V 4 V999,V 4 0.014 0.014 0.014 0.012 -0.008 DISTRIBUTION OF STANDARDIZED RESIDUALS ---------------------------------------- ! ! 20- - ! ! ! ! ! ! ! * ! RANGE FREQ PERCENT 15- * - ! * ! 1 -0.5 - -- 0 0.00% ! * ! 2 -0.4 - -0.5 0 0.00% ! * * ! 3 -0.3 - -0.4 0 0.00% ! * * ! 4 -0.2 - -0.3 0 0.00% 10- * * - 5 -0.1 - -0.2 0 0.00% ! * * ! 6 0.0 - -0.1 16 57.14% ! * * ! 7 0.1 - 0.0 12 42.86% ! * * ! 8 0.2 - 0.1 0 0.00% ! * * ! 9 0.3 - 0.2 0 0.00% 5- * * - A 0.4 - 0.3 0 0.00% ! * * ! B 0.5 - 0.4 0 0.00% ! * * ! C ++ - 0.5 0 0.00% ! * * ! ------------------------------- ! * * ! TOTAL 28 100.00% ---------------------------------------- 1 2 3 4 5 6 7 8 9 A B C EACH "*" REPRESENTS 1 RESIDUALS TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 6 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) GOODNESS OF FIT SUMMARY INDEPENDENCE MODEL CHI-SQUARE = 287.053 ON 15 DEGREES OF FREEDOM INDEPENDENCE AIC = 257.05270 INDEPENDENCE CAIC = 191.08026 MODEL AIC = -15.31734 MODEL CAIC = -68.09529 CHI-SQUARE = 8.683 BASED ON 12 DEGREES OF FREEDOM PROBABILITY VALUE FOR THE CHI-SQUARE STATISTIC IS 0.72977 THE NORMAL THEORY RLS CHI-SQUARE FOR THIS ML SOLUTION IS 8.904. BENTLER-BONETT NORMED FIT INDEX= 0.970 BENTLER-BONETT NONNORMED FIT INDEX= 1.015 COMPARATIVE FIT INDEX (CFI) = 1.000 BOLLEN (IFI) FIT INDEX= 1.012 McDonald (MFI) FIT INDEX= 1.008 LISREL GFI FIT INDEX= 0.990 LISREL AGFI FIT INDEX= 0.983 ROOT MEAN SQUARED RESIDUAL (RMR) = 0.130 STANDARDIZED RMR = 0.038 ROOT MEAN SQ. ERROR OF APP.(RMSEA)= 0.000 90% CONFIDENCE INTERVAL OF RMSEA ( 0.000, 0.051) ITERATIVE SUMMARY PARAMETER ITERATION ABS CHANGE ALPHA FUNCTION 1 21.946583 1.00000 8.53105 2 17.033007 1.00000 5.78511 3 27.177940 1.00000 1.09763 4 0.160661 1.00000 0.03947 5 0.000000 1.00000 0.03947 TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 7 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) MEASUREMENT EQUATIONS WITH STANDARD ERRORS AND TEST STATISTICS ANTI1 =V1 = 1.000 F1 + 1.000 E1 ANTI2 =V2 = 1.000 F1 + 1.000 F2 + 1.000 E2 ANTI3 =V3 = 1.000 F1 + 2.000 F2 + 1.000 E3 ANTI4 =V4 = 1.000 F1 + 3.000 F2 + 1.000 E4 GENDER =V9 = .525*V999 + 1.000 E9 .034 15.555 HOMECOG =V10 = 9.100*V999 + 1.000 E10 .166 54.980 TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 8 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) CONSTRUCT EQUATIONS WITH STANDARD ERRORS AND TEST STATISTICS ANTI-INT=F1 = .572*V9 - .063*V10 + 1.824*V999 + 1.000 D1 .188 .038 .374 3.049 -1.638 4.877 ANTI-SLP=F2 = .079*V9 - .045*V10 + .546*V999 + 1.000 D2 .084 .017 .168 .940 -2.637 3.257 TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 9 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) VARIANCES OF INDEPENDENT VARIABLES ---------------------------------- E D --- --- E1 -ANTI1 1.536*I D1 -ANTI-INT .862*I .104 I .198 I 14.832 I 4.346 I I I E2 -ANTI2 1.536*I D2 -ANTI-SLP .083*I .104 I .043 I 14.832 I 1.945 I I I E3 -ANTI3 1.536*I I .104 I I 14.832 I I I I E4 -ANTI4 1.536*I I .104 I I 14.832 I I I I E9 -GENDER .251*I I .024 I I 10.488 I I I I E10 -HOMECOG 6.026*I I .575 I I 10.488 I I I I TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 10 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) COVARIANCES AMONG INDEPENDENT VARIABLES --------------------------------------- E D --- --- E10 -HOMECOG -.007*I D2 -ANTI-SLP .122*I E9 -GENDER .083 I D1 -ANTI-INT .070 I -.085 I 1.746 I I I TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 11 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) STANDARDIZED SOLUTION: R-SQUARED ANTI1 =V1 = .622 F1 + .783 E1 .387 ANTI2 =V2 = .578 F1 + .183 F2 + .727 E2 .471 ANTI3 =V3 = .526 F1 + .333 F2 + .663 E3 .561 ANTI4 =V4 = .476 F1 + .451 F2 + .599 E4 .641 GENDER =V9 = .000*V999 +1.000 E9 .000 HOMECOG =V10 = .000*V999 +1.000 E10 .000 ANTI-INT=F1 = .291*V9 - .156*V10 + .000*V999 + .944 D1 .109 ANTI-SLP=F2 = .127*V9 - .357*V10 + .000*V999 + .925 D2 .144 TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 12 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) CORRELATIONS AMONG INDEPENDENT VARIABLES --------------------------------------- E D --- --- E10 -HOMECOG -.006*I D2 -ANTI-SLP .458*I E9 -GENDER I D1 -ANTI-INT I I I ------------------------------------------------------------------------------- E N D O F M E T H O D ------------------------------------------------------------------------------- TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 13 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) LAGRANGIAN MULTIPLIER TEST REQUIRES 5171 WORDS OF MEMORY. PROGRAM ALLOCATES 100000 WORDS. LAGRANGE MULTIPLIER TEST (FOR RELEASING CONSTRAINTS) CONSTRAINTS TO BE RELEASED ARE: CONSTR: 1 (E1,E1)-(E2,E2)=0; CONSTR: 2 (E1,E1)-(E3,E3)=0; CONSTR: 3 (E1,E1)-(E4,E4)=0; UNIVARIATE TEST STATISTICS: NO CONSTRAINT CHI-SQUARE PROBABILITY -- ----------- ---------- ----------- 1 CONSTR: 1 1.831 0.176 2 CONSTR: 2 0.882 0.348 3 CONSTR: 3 0.088 0.767 CUMULATIVE MULTIVARIATE STATISTICS UNIVARIATE INCREMENT ---------------------------------- -------------------- STEP PARAMETER CHI-SQUARE D.F. PROBABILITY CHI-SQUARE PROBABILITY ---- ----------- ---------- ---- ----------- ---------- ----------- 1 CONSTR: 1 1.831 1 0.176 1.831 0.176 2 CONSTR: 3 2.210 2 0.331 0.379 0.538 3 CONSTR: 2 2.210 3 0.530 0.001 0.982 TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 14 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) LAGRANGE MULTIPLIER TEST (FOR ADDING PARAMETERS) ORDERED UNIVARIATE TEST STATISTICS: NO CODE PARAMETER CHI-SQUARE PROBABILITY PARAMETER CHANGE -- ---- --------- ---------- ----------- ---------------- 1 2 0 V2,F2 3.979 0.046 0.681 2 2 0 V2,F1 3.679 0.055 0.108 3 2 0 V1,F1 2.388 0.122 -0.133 4 2 11 V2,V999 2.314 0.128 0.152 5 2 20 V1,F2 2.281 0.131 -0.787 6 2 11 V1,V999 1.782 0.182 -0.204 7 2 0 V3,F2 1.047 0.306 -0.349 8 2 0 V3,F1 0.642 0.423 -0.045 9 2 11 V3,V999 0.177 0.674 -0.042 10 2 11 V4,V999 0.120 0.729 -0.053 11 2 0 V4,F1 0.026 0.872 -0.014 12 2 0 V4,F2 0.001 0.979 0.014 13 2 0 V999,V999 0.000 1.000 0.000 14 2 0 F2,D2 0.000 1.000 0.000 15 2 0 F1,D1 0.000 1.000 0.000 16 2 20 V9,F1 0.000 1.000 0.000 17 2 20 V9,F2 0.000 1.000 0.000 18 2 20 V10,F1 0.000 1.000 0.000 19 2 20 V10,F2 0.000 1.000 0.000 20 2 22 F1,F2 0.000 1.000 0.000 21 2 22 F2,F1 0.000 1.000 0.000 TITLE: unconditional,linear growth model of antisocial data 08/08/01 PAGE : 15 EQS/EM386 Licensee: Patrick J. Curran MAXIMUM LIKELIHOOD SOLUTION (NORMAL DISTRIBUTION THEORY) MULTIVARIATE LAGRANGE MULTIPLIER TEST BY SIMULTANEOUS PROCESS IN STAGE 1 PARAMETER SETS (SUBMATRICES) ACTIVE AT THIS STAGE ARE: PVV PFV PFF PDD GVV GVF GFV GFF BVF BFF CUMULATIVE MULTIVARIATE STATISTICS UNIVARIATE INCREMENT ---------------------------------- -------------------- STEP PARAMETER CHI-SQUARE D.F. PROBABILITY CHI-SQUARE PROBABILITY ---- ----------- ---------- ---- ----------- ---------- ----------- 1 V2,F2 3.979 1 0.046 3.979 0.046 1 Execution begins at 08:58:49.96 Execution ends at 08:58:50.07 Elapsed time = 0.11 seconds