DATE: 10/29/2007 TIME: 15:42 L I S R E L 8.80 BY Karl G. J”reskog & Dag S”rbom This program is published exclusively by Scientific Software International, Inc. 7383 N. Lincoln Avenue, Suite 100 Lincolnwood, IL 60712, U.S.A. Phone: (800)247-6113, (847)675-0720, Fax: (847)675-2140 Copyright by Scientific Software International, Inc., 1981-2006 Use of this program is subject to the terms specified in the Universal Copyright Convention. Website: www.ssicentral.com The following lines were read from file E:\Class Files\hsmetric.spl: Group 1: Pasteur Low -- Holzinger-Swineford meric invariance Observed Variables VisPerc Cubes Pap_F_B GenInfo SentComp WordCla FigRecog ObjNum NumFig Sample Size: 77 Correlation Matrix from File PALO.KM Standard Deviation from File: PALO.SD Latent Variables: Space Verbal Memory Relationships: VisPerc = 1*Space Cubes Pap_F_B = Space GenInfo = 1*Verbal SentComp WordCla = Verbal FigRecog = 1*Memory ObjNum NumFig = Memory LISREL OUTPUT Group 2: Pasteur High metric invariance Sample Size: 79 Correlation matrix from File PAHI.KM Standard deviations from File PAHI.SD Set the error variances of VisPerc - NumFig free Set the variances of Space - Memory free Set the covariances of Space - Memory free LISREL OUTPUT Group 3: GRANT-WHITE Low metric invariance Sample Size: 74 Correlation Matrix from File: GWLO.KM Standard Deviations from File: GWLO.SD Set the error variances of VisPerc - NumFig free Set the variances of Space - Memory free Set the covariances of Space - Memory free LISREL OUTPUT Group 4:: GRANT-WHITE High metric invariance Sample Size: 71 Correlation Matrix from File: GWHI.KM Standard Deviation from File: GWHI.SD Set the error variances of VisPerc - NumFig free Set the variances of Space - Memory free Set the covariances of Space - Memory free LISREL Output End of Problem Group 1: Pasteur Low -- Holzinger-Swineford meric invariance Covariance Matrix VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- VisPerc 1.12 Cubes 0.41 1.44 Pap_F_B 0.52 0.40 1.04 GenInfo 0.31 0.01 0.06 1.06 SentComp 0.30 0.01 0.01 0.83 1.17 WordCla 0.42 0.31 0.10 0.61 0.67 0.98 FigRecog 0.52 0.45 0.26 0.18 0.09 0.42 ObjNum 0.13 0.06 0.03 -0.08 0.06 0.19 NumFig 0.25 -0.05 0.01 -0.05 0.11 0.25 Covariance Matrix FigRecog ObjNum NumFig -------- -------- -------- FigRecog 1.37 ObjNum 0.34 1.00 NumFig 0.23 0.40 1.08 Group 2: Pasteur High metric invariance Covariance Matrix VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- VisPerc 0.92 Cubes 0.20 0.74 Pap_F_B 0.22 0.19 0.98 GenInfo 0.29 0.04 0.22 0.92 SentComp 0.36 0.21 0.19 0.69 1.12 WordCla 0.35 0.09 0.11 0.57 0.71 1.02 FigRecog 0.21 0.01 -0.07 0.09 0.12 0.12 ObjNum -0.02 -0.01 -0.14 0.05 0.09 0.03 NumFig 0.09 -0.12 -0.06 0.15 0.02 0.12 Covariance Matrix FigRecog ObjNum NumFig -------- -------- -------- FigRecog 1.02 ObjNum 0.21 1.21 NumFig 0.15 0.32 1.00 Group 3: GRANT-WHITE Low metric invariance Covariance Matrix VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- VisPerc 0.90 Cubes 0.33 1.06 Pap_F_B 0.36 0.20 0.85 GenInfo 0.36 0.33 0.28 0.98 SentComp 0.36 0.16 0.21 0.66 0.92 WordCla 0.38 0.13 0.31 0.52 0.59 0.90 FigRecog 0.27 0.23 0.22 0.14 0.16 0.24 ObjNum 0.13 0.01 0.07 0.25 0.24 0.27 NumFig 0.29 0.24 0.07 0.30 0.23 0.23 Covariance Matrix FigRecog ObjNum NumFig -------- -------- -------- FigRecog 0.66 ObjNum 0.21 0.69 NumFig 0.27 0.28 0.77 Group 4:: GRANT-WHITE High metric invariance Covariance Matrix VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- VisPerc 1.06 Cubes 0.28 0.74 Pap_F_B 0.37 0.16 1.12 GenInfo 0.32 0.21 0.33 1.02 SentComp 0.21 0.13 0.28 0.57 0.83 WordCla 0.29 0.18 0.36 0.60 0.58 1.10 FigRecog 0.48 0.26 0.33 0.18 0.18 0.30 ObjNum 0.21 0.01 0.17 0.06 0.18 0.16 NumFig 0.46 0.26 0.45 0.12 0.07 0.20 Covariance Matrix FigRecog ObjNum NumFig -------- -------- -------- FigRecog 0.96 ObjNum 0.37 1.08 NumFig 0.37 0.49 1.14 Group 1: Pasteur Low -- Holzinger-Swineford meric invariance Parameter Specifications LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 7 Verbal 8 9 Memory 10 11 12 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 13 14 15 16 17 18 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 19 20 21 Group 2: Pasteur High metric invariance Parameter Specifications LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 22 Verbal 23 24 Memory 25 26 27 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 28 29 30 31 32 33 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 34 35 36 Group 3: GRANT-WHITE Low metric invariance Parameter Specifications LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 37 Verbal 38 39 Memory 40 41 42 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 43 44 45 46 47 48 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 49 50 51 Group 4:: GRANT-WHITE High metric invariance Parameter Specifications LAMBDA-X Space Verbal Memory -------- -------- -------- VisPerc 0 0 0 Cubes 1 0 0 Pap_F_B 2 0 0 GenInfo 0 0 0 SentComp 0 3 0 WordCla 0 4 0 FigRecog 0 0 0 ObjNum 0 0 5 NumFig 0 0 6 PHI Space Verbal Memory -------- -------- -------- Space 52 Verbal 53 54 Memory 55 56 57 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 58 59 60 61 62 63 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 64 65 66 Group 1: Pasteur Low -- Holzinger-Swineford meric invariance Number of Iterations = 12 LISREL Estimates (Maximum Likelihood) LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 0.86 (0.22) 3.88 Verbal 0.29 0.72 (0.11) (0.15) 2.53 4.86 Memory 0.27 0.10 0.33 (0.10) (0.08) (0.12) 2.63 1.21 2.64 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.24 1.23 0.73 0.31 0.29 0.44 (0.16) (0.21) (0.14) (0.08) (0.08) (0.09) 1.49 5.91 5.31 4.01 3.54 4.90 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 1.00 0.73 0.75 (0.19) (0.14) (0.17) 5.16 5.06 4.47 Squared Multiple Correlations for X - Variables VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.78 0.16 0.32 0.70 0.74 0.59 Squared Multiple Correlations for X - Variables FigRecog ObjNum NumFig -------- -------- -------- 0.25 0.26 0.34 Group Goodness of Fit Statistics Contribution to Chi-Square = 54.04 Percentage Contribution to Chi-Square = 40.62 Root Mean Square Residual (RMR) = 0.12 Standardized RMR = 0.11 Goodness of Fit Index (GFI) = 0.87 Group 2: Pasteur High metric invariance Number of Iterations = 12 LISREL Estimates (Maximum Likelihood) LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 0.39 (0.15) 2.65 Verbal 0.30 0.65 (0.09) (0.14) 3.23 4.82 Memory 0.03 0.09 0.22 (0.07) (0.07) (0.10) 0.46 1.24 2.25 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.53 0.64 0.83 0.33 0.31 0.43 (0.15) (0.11) (0.15) (0.08) (0.08) (0.09) 3.59 5.78 5.69 4.23 3.78 4.94 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 0.84 0.99 0.74 (0.16) (0.18) (0.16) 5.11 5.53 4.65 Squared Multiple Correlations for X - Variables VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.42 0.14 0.16 0.66 0.71 0.57 Squared Multiple Correlations for X - Variables FigRecog ObjNum NumFig -------- -------- -------- 0.21 0.15 0.26 Group Goodness of Fit Statistics Contribution to Chi-Square = 22.53 Percentage Contribution to Chi-Square = 16.93 Root Mean Square Residual (RMR) = 0.064 Standardized RMR = 0.065 Goodness of Fit Index (GFI) = 0.94 Group 3: GRANT-WHITE Low metric invariance Number of Iterations = 12 LISREL Estimates (Maximum Likelihood) LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 0.58 (0.17) 3.48 Verbal 0.37 0.59 (0.10) (0.13) 3.63 4.61 Memory 0.24 0.22 0.26 (0.08) (0.07) (0.09) 3.09 3.03 3.00 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.33 0.88 0.62 0.38 0.24 0.39 (0.13) (0.15) (0.12) (0.08) (0.07) (0.08) 2.57 5.75 5.35 4.57 3.38 4.83 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 0.41 0.49 0.45 (0.09) (0.10) (0.10) 4.59 5.12 4.45 Squared Multiple Correlations for X - Variables VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.64 0.15 0.28 0.61 0.74 0.57 Squared Multiple Correlations for X - Variables FigRecog ObjNum NumFig -------- -------- -------- 0.38 0.29 0.40 Group Goodness of Fit Statistics Contribution to Chi-Square = 28.26 Percentage Contribution to Chi-Square = 21.24 Root Mean Square Residual (RMR) = 0.055 Standardized RMR = 0.064 Goodness of Fit Index (GFI) = 0.92 Group 4:: GRANT-WHITE High metric invariance Number of Iterations = 12 LISREL Estimates (Maximum Likelihood) LAMBDA-X Space Verbal Memory -------- -------- -------- VisPerc 1.00 - - - - Cubes 0.52 - - - - (0.10) 5.33 Pap_F_B 0.64 - - - - (0.10) 6.17 GenInfo - - 1.00 - - SentComp - - 1.08 - - (0.08) 13.80 WordCla - - 0.93 - - (0.07) 12.74 FigRecog - - - - 1.00 ObjNum - - - - 0.88 (0.16) 5.43 NumFig - - - - 1.09 (0.18) 5.91 PHI Space Verbal Memory -------- -------- -------- Space 0.53 (0.18) 2.97 Verbal 0.30 0.55 (0.10) (0.12) 2.95 4.40 Memory 0.43 0.15 0.40 (0.11) (0.08) (0.13) 3.81 1.87 3.07 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.58 0.61 0.83 0.43 0.26 0.53 (0.15) (0.11) (0.15) (0.10) (0.08) (0.11) 3.83 5.54 5.48 4.45 3.13 4.91 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 0.54 0.82 0.64 (0.12) (0.16) (0.14) 4.48 5.22 4.45 Squared Multiple Correlations for X - Variables VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.48 0.19 0.21 0.56 0.71 0.48 Squared Multiple Correlations for X - Variables FigRecog ObjNum NumFig -------- -------- -------- 0.43 0.28 0.43 Global Goodness of Fit Statistics Degrees of Freedom = 114 Minimum Fit Function Chi-Square = 133.03 (P = 0.11) Normal Theory Weighted Least Squares Chi-Square = 127.66 (P = 0.18) Estimated Non-centrality Parameter (NCP) = 13.66 90 Percent Confidence Interval for NCP = (0.0 ; 45.53) Minimum Fit Function Value = 0.45 Population Discrepancy Function Value (F0) = 0.046 90 Percent Confidence Interval for F0 = (0.0 ; 0.15) Root Mean Square Error of Approximation (RMSEA) = 0.040 90 Percent Confidence Interval for RMSEA = (0.0 ; 0.073) P-Value for Test of Close Fit (RMSEA < 0.05) = 0.65 Expected Cross-Validation Index (ECVI) = 0.87 90 Percent Confidence Interval for ECVI = (0.83 ; 0.98) ECVI for Saturated Model = 0.30 ECVI for Independence Model = 3.28 Chi-Square for Independence Model with 144 Degrees of Freedom = 957.30 Independence AIC = 1029.30 Model AIC = 259.66 Saturated AIC = 360.00 Independence CAIC = 1198.75 Model CAIC = 570.33 Saturated CAIC = 1207.28 Normed Fit Index (NFI) = 0.87 Non-Normed Fit Index (NNFI) = 0.98 Parsimony Normed Fit Index (PNFI) = 0.69 Comparative Fit Index (CFI) = 0.98 Incremental Fit Index (IFI) = 0.98 Relative Fit Index (RFI) = 0.83 Critical N (CN) = 354.70 Group Goodness of Fit Statistics Contribution to Chi-Square = 28.21 Percentage Contribution to Chi-Square = 21.21 Root Mean Square Residual (RMR) = 0.079 Standardized RMR = 0.078 Goodness of Fit Index (GFI) = 0.92 Time used: 0.020 Seconds