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 F1 = *V999 + D1; 17 F2 = *V999 + D2; 18 /VARIANCES 19 E1 TO E4= .2*; 20 D1=1*; D2=.1*; 21 /COVARIANCES 22 D2,D1 = .1*; 23 /CON 24 (E1,E1)=(E2,E2)=(E3,E3)=(E4,E4); 25 /PRINT 26 fit=all; 27 /LMTEST 28 /END 28 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 V999 MEAN 1.4932 1.8371 1.8778 2.0679 1.0000 SKEWNESS (G1) 1.2533 1.0157 1.1001 0.9718 0.0000 KURTOSIS (G2) 1.5925 0.6037 1.3936 0.3598 0.0000 STANDARD DEV. 1.5392 1.7916 1.8011 2.0846 0.0000 MULTIVARIATE KURTOSIS --------------------- MARDIA'S COEFFICIENT (G2,P) = 9.8254 NORMALIZED ESTIMATE = 10.5413 ELLIPTICAL THEORY KURTOSIS ESTIMATES ------------------------------------ MARDIA-BASED KAPPA = 0.4094 MEAN SCALED UNIVARIATE KURTOSIS = 0.3291 MARDIA-BASED KAPPA IS USED IN COMPUTATION. KAPPA= 0.4094 CASE NUMBERS WITH LARGEST CONTRIBUTION TO NORMALIZED MULTIVARIATE KURTOSIS: --------------------------------------------------------------------------- CASE NUMBER 69 82 90 120 178 ESTIMATE 1056.6758 322.7581 327.8347 314.6751 309.1699 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: 4 VARIABLES (SELECTED FROM 11 VARIABLES), BASED ON 221 CASES. ANTI1 ANTI2 ANTI3 ANTI4 V999 V 1 V 2 V 3 V 4 V999 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 V999 V999 1.493 1.837 1.878 2.068 1.000 BENTLER-WEEKS STRUCTURAL REPRESENTATION: NUMBER OF DEPENDENT VARIABLES = 6 DEPENDENT V'S : 1 2 3 4 DEPENDENT F'S : 1 2 NUMBER OF INDEPENDENT VARIABLES = 7 INDEPENDENT V'S : 999 INDEPENDENT E'S : 1 2 3 4 INDEPENDENT D'S : 1 2 NUMBER OF FREE PARAMETERS = 9 NUMBER OF FIXED NONZERO PARAMETERS = 14 3RD STAGE OF COMPUTATION REQUIRED 2058 WORDS OF MEMORY. PROGRAM ALLOCATED 100000 WORDS DETERMINANT OF INPUT MATRIX IS 0.33559E+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 V999 V 1 V 2 V 3 V 4 V999 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 V999 V999 -0.061 0.106 -0.029 -0.016 0.000 AVERAGE ABSOLUTE COVARIANCE RESIDUALS = 0.0897 AVERAGE OFF-DIAGONAL ABSOLUTE COVARIANCE RESIDUALS = 0.0589 STANDARDIZED RESIDUAL MATRIX: ANTI1 ANTI2 ANTI3 ANTI4 V999 V 1 V 2 V 3 V 4 V999 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 V999 V999 -0.040 0.059 -0.016 -0.008 0.000 AVERAGE ABSOLUTE STANDARDIZED RESIDUALS = 0.0320 AVERAGE OFF-DIAGONAL ABSOLUTE STANDARDIZED RESIDUALS = 0.0235 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 V999,V 2 V 1,V 1 V999,V 1 0.095 -0.078 0.059 -0.057 -0.040 V 4,V 2 V 4,V 1 V 4,V 3 V 3,V 1 V999,V 3 0.037 -0.023 -0.017 -0.017 -0.016 V 4,V 4 V 2,V 1 V999,V 4 V 3,V 2 V999,V999 0.015 0.014 -0.008 0.005 0.000 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 9 60.00% ! * ! 7 0.1 - 0.0 6 40.00% ! * ! 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 15 100.00% ---------------------------------------- 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 = 255.507 ON 6 DEGREES OF FREEDOM INDEPENDENCE AIC = 243.50678 INDEPENDENCE CAIC = 217.11781 MODEL AIC = -10.45111 MODEL CAIC = -45.63641 CHI-SQUARE = 5.549 BASED ON 8 DEGREES OF FREEDOM PROBABILITY VALUE FOR THE CHI-SQUARE STATISTIC IS 0.69762 THE NORMAL THEORY RLS CHI-SQUARE FOR THIS ML SOLUTION IS 5.729. BENTLER-BONETT NORMED FIT INDEX= 0.978 BENTLER-BONETT NONNORMED FIT INDEX= 1.007 COMPARATIVE FIT INDEX (CFI) = 1.000 BOLLEN (IFI) FIT INDEX= 1.010 McDonald (MFI) FIT INDEX= 1.006 LISREL GFI FIT INDEX= 0.993 LISREL AGFI FIT INDEX= 0.991 ROOT MEAN SQUARED RESIDUAL (RMR) = 0.146 STANDARDIZED RMR = 0.046 ROOT MEAN SQ. ERROR OF APP.(RMSEA)= 0.000 90% CONFIDENCE INTERVAL OF RMSEA ( 0.000, 0.061) ITERATIVE SUMMARY PARAMETER ITERATION ABS CHANGE ALPHA FUNCTION 1 0.897484 1.00000 0.38474 2 0.160214 1.00000 0.02522 3 0.000000 1.00000 0.02522 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 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 = 1.554*V999 + 1.000 D1 .096 16.127 ANTI-SLP=F2 = .176*V999 + 1.000 D2 .043 4.119 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 .968*I .104 I .208 I 14.832 I 4.659 I I I E2 -ANTI2 1.536*I D2 -ANTI-SLP .097*I .104 I .044 I 14.832 I 2.212 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 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 --- --- I D2 -ANTI-SLP .151*I I D1 -ANTI-INT .072 I I 2.105 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 ANTI-INT=F1 = .000*V999 +1.000 D1 .000 ANTI-SLP=F2 = .000*V999 +1.000 D2 .000 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 --- --- I D2 -ANTI-SLP .494*I 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 2914 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 2.065 0.151 2 CONSTR: 2 1.087 0.297 3 CONSTR: 3 0.051 0.821 CUMULATIVE MULTIVARIATE STATISTICS UNIVARIATE INCREMENT ---------------------------------- -------------------- STEP PARAMETER CHI-SQUARE D.F. PROBABILITY CHI-SQUARE PROBABILITY ---- ----------- ---------- ---- ----------- ---------- ----------- 1 CONSTR: 1 2.065 1 0.151 2.065 0.151 2 CONSTR: 3 2.386 2 0.303 0.321 0.571 3 CONSTR: 2 2.399 3 0.494 0.013 0.908 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,F1 3.776 0.052 0.110 2 2 0 V2,F2 2.950 0.086 0.598 3 2 0 V1,F1 2.510 0.113 -0.137 4 2 11 V2,V999 2.314 0.128 0.152 5 2 11 V1,V999 1.782 0.182 -0.204 6 2 20 V1,F2 1.495 0.221 -0.650 7 2 0 V3,F2 1.069 0.301 -0.360 8 2 0 V3,F1 0.600 0.438 -0.044 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 0.040 0.841 -0.017 12 2 0 V4,F2 0.032 0.859 0.095 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 22 F1,F2 0.000 1.000 0.000 17 2 22 F2,F1 0.000 1.000 0.000 ***** NONE OF THE UNIVARIATE LAGRANGE MULTIPLIERS IS SIGNIFICANT, ***** THE MULTIVARIATE TEST PROCEDURE WILL NOT BE EXECUTED. 1 Execution begins at 09:06:23.59 Execution ends at 09:06:23.65 Elapsed time = 0.06 seconds