DATE: 10/29/2007 TIME: 15:55 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\hsscalar.spl: Group 1: Pasteur Low -- Holzinger-Swineford scalar invar 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 Means from File: PALO.ME Latent Variables: Space Verbal Memory Relationships: VisPerc = 1*Space Cubes Pap_F_B = Const Space GenInfo = 1*Verbal SentComp WordCla = Const Verbal FigRecog = 1*Memory ObjNum NumFig = Const Memory Space = Const Verbal = Const Memory = Const LISREL OUTPUT Group 2: Pasteur High scalar invariance Sample Size: 79 Correlation matrix from File PAHI.KM Standard deviations from File PAHI.SD Means from File: PAHI.ME Relationships: Set the error variances of VisPerc - NumFig free Set the variances of Space - Memory free Set the covariances of Space - Memory free Space = Const Verbal = Const Memory = Const LISREL OUTPUT Group 3: GRANT-WHITE Low scalar invariance Sample Size: 74 Correlation Matrix from File: GWLO.KM Standard Deviations from File: GWLO.SD Means from File: GWLO.ME Relationships: Set the error variances of VisPerc - NumFig free Set the variances of Space - Memory free Set the covariances of Space - Memory free Space = Const Verbal = Const Memory = Const LISREL OUTPUT Group 4:: GRANT-WHITE High scalar invariance Sample Size: 71 Correlation Matrix from File: GWHI.KM Standard Deviation from File: GWHI.SD Means from File: GWHI.ME Relationships: Set the error variances of VisPerc - NumFig free Set the variances of Space - Memory free Set the covariances of Space - Memory free Space = Const Verbal = Const Memory = Const LISREL Output End of Problem Group 1: Pasteur Low -- Holzinger-Swineford scalar invar 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 Means VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 4.20 5.25 4.96 2.98 3.20 4.45 Means FigRecog ObjNum NumFig -------- -------- -------- 13.42 1.74 2.10 Group 2: Pasteur High scalar 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 Means VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 4.30 5.03 5.06 3.41 3.38 4.76 Means FigRecog ObjNum NumFig -------- -------- -------- 13.62 2.14 2.16 Group 3: GRANT-WHITE Low scalar 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 Means VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 4.29 5.32 5.02 3.72 3.78 5.17 Means FigRecog ObjNum NumFig -------- -------- -------- 13.70 1.30 1.87 Group 4:: GRANT-WHITE High scalar 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 Means VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 4.21 5.33 5.09 4.15 3.88 5.59 Means FigRecog ObjNum NumFig -------- -------- -------- 13.72 1.78 2.44 Group 1: Pasteur Low -- Holzinger-Swineford scalar invar 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 TAU-X EQUALS TAU-X IN THE FOLLOWING GROUP KAPPA Space Verbal Memory -------- -------- -------- 28 29 30 Group 2: Pasteur High scalar invariance Parameter Specifications LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 31 Verbal 32 33 Memory 34 35 36 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 37 38 39 40 41 42 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 43 44 45 TAU-X EQUALS TAU-X IN THE FOLLOWING GROUP KAPPA Space Verbal Memory -------- -------- -------- 46 47 48 Group 3: GRANT-WHITE Low scalar invariance Parameter Specifications LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 49 Verbal 50 51 Memory 52 53 54 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 55 56 57 58 59 60 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 61 62 63 TAU-X EQUALS TAU-X IN THE FOLLOWING GROUP KAPPA Space Verbal Memory -------- -------- -------- 64 65 66 Group 4:: GRANT-WHITE High scalar 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 67 Verbal 68 69 Memory 70 71 72 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 73 74 75 76 77 78 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 79 80 81 TAU-X VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0 22 23 0 24 25 TAU-X FigRecog ObjNum NumFig -------- -------- -------- 0 26 27 KAPPA Space Verbal Memory -------- -------- -------- 82 83 84 Group 1: Pasteur Low -- Holzinger-Swineford scalar invar Number of Iterations = 23 LISREL Estimates (Maximum Likelihood) LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 0.85 (0.22) 3.84 Verbal 0.31 0.76 (0.12) (0.15) 2.61 4.94 Memory 0.18 0.07 0.20 (0.08) (0.07) (0.08) 2.28 1.08 2.46 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.25 1.23 0.73 0.31 0.38 0.43 (0.16) (0.21) (0.14) (0.08) (0.09) (0.09) 1.52 5.90 5.26 3.74 4.35 4.62 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 1.14 0.69 0.68 (0.20) (0.15) (0.17) 5.65 4.75 4.03 Squared Multiple Correlations for X - Variables VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.77 0.16 0.33 0.71 0.65 0.61 Squared Multiple Correlations for X - Variables FigRecog ObjNum NumFig -------- -------- -------- 0.15 0.31 0.40 TAU-X EQUALS TAU-X IN THE FOLLOWING GROUP KAPPA Space Verbal Memory -------- -------- -------- 4.20 3.05 13.62 (0.12) (0.11) (0.08) 35.34 27.13 161.94 Group Goodness of Fit Statistics Contribution to Chi-Square = 66.53 Percentage Contribution to Chi-Square = 34.64 Root Mean Square Residual (RMR) = 0.13 Standardized RMR = 0.11 Goodness of Fit Index (GFI) = 0.86 Group 2: Pasteur High scalar invariance Number of Iterations = 23 LISREL Estimates (Maximum Likelihood) LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 0.37 (0.15) 2.58 Verbal 0.31 0.70 (0.10) (0.14) 3.22 4.92 Memory 0.02 0.07 0.14 (0.05) (0.06) (0.07) 0.29 1.24 2.08 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.54 0.68 0.83 0.32 0.37 0.43 (0.15) (0.12) (0.15) (0.08) (0.08) (0.09) 3.66 5.81 5.68 3.96 4.44 4.74 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 0.91 1.10 0.72 (0.16) (0.20) (0.17) 5.62 5.44 4.24 Squared Multiple Correlations for X - Variables VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.41 0.13 0.16 0.69 0.63 0.59 Squared Multiple Correlations for X - Variables FigRecog ObjNum NumFig -------- -------- -------- 0.13 0.16 0.29 TAU-X EQUALS TAU-X IN THE FOLLOWING GROUP KAPPA Space Verbal Memory -------- -------- -------- 4.24 3.37 13.74 (0.10) (0.11) (0.08) 42.34 31.78 174.29 Group Goodness of Fit Statistics Contribution to Chi-Square = 40.56 Percentage Contribution to Chi-Square = 21.12 Root Mean Square Residual (RMR) = 0.066 Standardized RMR = 0.066 Goodness of Fit Index (GFI) = 0.94 Group 3: GRANT-WHITE Low scalar invariance Number of Iterations = 23 LISREL Estimates (Maximum Likelihood) LAMBDA-X EQUALS LAMBDA-X IN THE FOLLOWING GROUP PHI Space Verbal Memory -------- -------- -------- Space 0.57 (0.17) 3.46 Verbal 0.39 0.64 (0.11) (0.14) 3.69 4.71 Memory 0.18 0.19 0.16 (0.06) (0.06) (0.06) 2.85 3.02 2.65 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.33 0.89 0.62 0.37 0.28 0.38 (0.13) (0.15) (0.12) (0.08) (0.07) (0.08) 2.59 5.75 5.32 4.36 4.04 4.61 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 0.52 0.51 0.42 (0.10) (0.10) (0.11) 5.36 4.93 4.01 Squared Multiple Correlations for X - Variables VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.64 0.15 0.28 0.64 0.67 0.60 Squared Multiple Correlations for X - Variables FigRecog ObjNum NumFig -------- -------- -------- 0.23 0.32 0.45 TAU-X EQUALS TAU-X IN THE FOLLOWING GROUP KAPPA Space Verbal Memory -------- -------- -------- 4.29 3.76 13.47 (0.11) (0.11) (0.08) 39.87 35.25 173.32 Group Goodness of Fit Statistics Contribution to Chi-Square = 43.17 Percentage Contribution to Chi-Square = 22.48 Root Mean Square Residual (RMR) = 0.059 Standardized RMR = 0.068 Goodness of Fit Index (GFI) = 0.92 Group 4:: GRANT-WHITE High scalar invariance Number of Iterations = 23 LISREL Estimates (Maximum Likelihood) LAMBDA-X Space Verbal Memory -------- -------- -------- VisPerc 1.00 - - - - Cubes 0.52 - - - - (0.10) 5.24 Pap_F_B 0.65 - - - - (0.11) 6.13 GenInfo - - 1.00 - - SentComp - - 0.95 - - (0.06) 15.33 WordCla - - 0.94 - - (0.06) 14.69 FigRecog - - - - 1.00 ObjNum - - - - 1.23 (0.23) 5.41 NumFig - - - - 1.47 (0.26) 5.70 PHI Space Verbal Memory -------- -------- -------- Space 0.52 (0.18) 2.91 Verbal 0.33 0.61 (0.11) (0.14) 3.07 4.46 Memory 0.33 0.12 0.26 (0.09) (0.07) (0.10) 3.53 1.74 2.77 THETA-DELTA VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.60 0.62 0.82 0.40 0.35 0.52 (0.15) (0.11) (0.15) (0.10) (0.09) (0.11) 3.90 5.54 5.46 4.09 3.99 4.69 THETA-DELTA FigRecog ObjNum NumFig -------- -------- -------- 0.63 0.80 0.57 (0.12) (0.16) (0.15) 5.13 4.97 3.87 Squared Multiple Correlations for X - Variables VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- 0.46 0.18 0.21 0.60 0.62 0.51 Squared Multiple Correlations for X - Variables FigRecog ObjNum NumFig -------- -------- -------- 0.30 0.33 0.50 TAU-X VisPerc Cubes Pap_F_B GenInfo SentComp WordCla -------- -------- -------- -------- -------- -------- - - 3.02 2.26 - - 0.16 1.63 (0.42) (0.45) (0.23) (0.23) 7.10 4.97 0.73 7.02 TAU-X FigRecog ObjNum NumFig -------- -------- -------- - - -15.14 -18.00 (3.11) (3.53) -4.87 -5.10 KAPPA Space Verbal Memory -------- -------- -------- 4.28 4.06 13.79 (0.12) (0.11) (0.09) 36.76 37.16 154.57 Global Goodness of Fit Statistics Degrees of Freedom = 132 Minimum Fit Function Chi-Square = 192.06 (P = 0.00050) Normal Theory Weighted Least Squares Chi-Square = 180.73 (P = 0.0031) Estimated Non-centrality Parameter (NCP) = 48.73 90 Percent Confidence Interval for NCP = (17.47 ; 88.05) Minimum Fit Function Value = 0.65 Population Discrepancy Function Value (F0) = 0.16 90 Percent Confidence Interval for F0 = (0.059 ; 0.30) Root Mean Square Error of Approximation (RMSEA) = 0.071 90 Percent Confidence Interval for RMSEA = (0.042 ; 0.095) P-Value for Test of Close Fit (RMSEA < 0.05) = 0.11 Expected Cross-Validation Index (ECVI) = 1.17 90 Percent Confidence Interval for ECVI = (0.95 ; 1.19) 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 = 348.73 Saturated AIC = 360.00 Independence CAIC = 1198.75 Model CAIC = 744.13 Saturated CAIC = 1207.28 Normed Fit Index (NFI) = 0.81 Non-Normed Fit Index (NNFI) = 0.93 Parsimony Normed Fit Index (PNFI) = 0.74 Comparative Fit Index (CFI) = 0.94 Incremental Fit Index (IFI) = 0.94 Relative Fit Index (RFI) = 0.79 Critical N (CN) = 284.82 Group Goodness of Fit Statistics Contribution to Chi-Square = 41.80 Percentage Contribution to Chi-Square = 21.76 Root Mean Square Residual (RMR) = 0.085 Standardized RMR = 0.084 Goodness of Fit Index (GFI) = 0.92 Time used: 0.040 Seconds