! Multivariate example - Common pathway model ! Dutch 5-year old twins - IQ subtests ! ! ! Group 1 sets up matrices for variance components ! Group 2 fits model to MZ data ! Group 3 fits model to DZ data ! Group 4 constraint ! Group 5 calculates genetic and environmental standardized path coefficients The following MX script lines were read for group 1 #DEFINE NVAR=6 #NGROUPS 5 Note: #NGroup set number of groups to 5 G1: DEFINE MATRICES CALCULATION BEGIN MATRICES; X FULL 1 1 FREE ! LATENT FACTOR GENETIC PATH COEFFICIENT Y FULL 1 1 FREE ! LATENT FACTOR SHARED ENVIRONMENT PATH COEFFICIENT Z FULL 1 1 FREE ! LATENT FACTOR NONSHARED ENVIRONMENT PATH COEFFICIENT T DIAG NVAR NVAR FREE ! VARIABLE SPECIFIC SHARED ENVIRONMENT PATH COEFFICIENTS U DIAG NVAR NVAR FREE ! VARIABLE SPECIFIC GENETIC PATH COEFFICIENTS V DIAG NVAR NVAR FREE ! VARIABLE SPECIFIC RESIDUAL PATH COEFFICIENTS F FULL NVAR 1 FREE ! LOADINGS OF VARIABLES ON LATENT FACTOR I IDEN 2 2 END MATRICES; BEGIN ALGEBRA; A=X*X'; ! LATENT FACTOR GENETIC VARIANCE COMPONENTS C=Y*Y'; ! LATENT FACTOR SHARED ENVIRONMENT VARIANCE COMPONENTS E=Z*Z'; ! LATENT FACTOR NONSHARED ENVIRONMENT VARIANCE COMPONENTS G=U*U'; ! VARIABLE SPECIFIC GENETIC VARIANCE COMPONENTS J=T*T'; ! VARIABLE SPECIFIC SHARED ENVIRONMENT VARIANCE COMPONENTS K=V*V'; ! VARIABLE SPECIFIC RESIDUAL VARIANCE COMPONENTS L=A+C+E; ! VARIANCE OF LATENT FACTOR END ALGEBRA; START .5 ALL BOUND 0 10 ALL LABELS ROW X EST_A LABELS ROW Y EST_C LABELS ROW Z EST_E ! Labels Row F verbal names ideas excl discs figures OPTION NO_OUTPUT END The following MX script lines were read for group 2 G2: MZ TWINS Note: Opening #include file 1 iqmzm.dat DATA NINPUT_VARS=12 NOBSERVATIONS=42 CMATRIX FILE=IQ5MZM.COV LABELS S1EXCLA S1WRDA S1SCHFA S1NAAMA S1FIGUA S1IDEEA S1EXCLB S1WRDB S1SCHFB S1NAAMB S1FIGUB S1IDEEB SELECT S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB ; Note: Closing #include file 1 BEGIN MATRICES = GROUP 1 COVARIANCE ((G+J+K | G+J _ G+J | G+J+K) + ((I@F) & (A+C+E | A+C _ A+C | A+C+E))) ; OPTION RSIDUALS END The following MX script lines were read for group 3 G3: DZ TWINS Note: Opening #include file 1 iqdzm.dat DATA NINPUT_VARS=12 NOBSERVATIONS=43 CMATRIX FILE=IQ5DZM.COV LABELS S1EXCLA S1WRDA S1SCHFA S1NAAMA S1FIGUA S1IDEEA S1EXCLB S1WRDB S1SCHFB S1NAAMB S1FIGUB S1IDEEB SELECT S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB ; Note: Closing #include file 1 BEGIN MATRICES = GROUP 1 H FULL 1 1 END MATRICES; MATRIX H .5 COVARIANCE ((G+J+K | H@G+J _ H@G+J | G+J+K) + ((I@F) & (A+C+E | H@A+C _ H@A+C | A+C+E))) ; OPTION RSIDUALS END The following MX script lines were read for group 4 G4: CONSTRAIN VARIANCE OF LATENT FACTOR TO 1 CONSTRAINT BEGIN MATRICES; L COMPUTED =L1 I UNIT 1 1 END MATRICES; CONSTRAINT L = I ; END The following MX script lines were read for group 5 G5: CALCULATE STANDARDISED SOLUTION CALCULATION MATRICES = GROUP 1 I IDEN NVAR NVAR *** WARNING! *** Matrix was previously defined for this group. Mx will redefine END MATRICES; BEGIN ALGEBRA; R=G+J+K+F&(L); ! TOTAL VARIANCE S=(\SQRT(I.R))~; ! DIAGONAL MATRIX OF STANDARD DEVIATIONS P=S*F; ! STANDARDIZED ESTIMATES FOR LOADINGS ON LATENT FACTOR Q=S*T_ S*U_ S*V; ! STANDARDIZED ESTIMATES FOR SPECIFIC FACTORS END ALGEBRA; LABEL ROW P F1 F2 F3 F4 F5 F6 LABEL ROW Q AS1 AS2 AS3 AS4 AS5 AS6 CS1 CS2 CS3 CS4 CS5 CS6 ES1 ES2 ES3 ES4 ES5 ES6 LABELS COL Q VERBAL NAMES IDEAS EXCL DISCS FIGURES OPTIONS NDECIMALS=4 END PARAMETER SPECIFICATIONS GROUP NUMBER: 2 G2: MZ twins MATRIX A This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX C This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX E This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX F This is a FULL matrix of order 6 by 1 1 1 22 2 23 3 24 4 25 5 26 6 27 MATRIX G This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX I This is an IDENTITY matrix of order 2 by 2 MATRIX J This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX K This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX L This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 4 2 0 5 3 0 0 6 4 0 0 0 7 5 0 0 0 0 8 6 0 0 0 0 0 9 MATRIX U This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 10 2 0 11 3 0 0 12 4 0 0 0 13 5 0 0 0 0 14 6 0 0 0 0 0 15 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 16 2 0 17 3 0 0 18 4 0 0 0 19 5 0 0 0 0 20 6 0 0 0 0 0 21 MATRIX X This is a FULL matrix of order 1 by 1 1 EST_A 1 MATRIX Y This is a FULL matrix of order 1 by 1 1 EST_C 2 MATRIX Z This is a FULL matrix of order 1 by 1 1 EST_E 3 GROUP NUMBER: 3 G3: DZ twins MATRIX A This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX C This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX E This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX F This is a FULL matrix of order 6 by 1 1 1 22 2 23 3 24 4 25 5 26 6 27 MATRIX G This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX I This is an IDENTITY matrix of order 2 by 2 MATRIX J This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX K This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX L This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 4 2 0 5 3 0 0 6 4 0 0 0 7 5 0 0 0 0 8 6 0 0 0 0 0 9 MATRIX U This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 10 2 0 11 3 0 0 12 4 0 0 0 13 5 0 0 0 0 14 6 0 0 0 0 0 15 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 16 2 0 17 3 0 0 18 4 0 0 0 19 5 0 0 0 0 20 6 0 0 0 0 0 21 MATRIX X This is a FULL matrix of order 1 by 1 1 EST_A 1 MATRIX Y This is a FULL matrix of order 1 by 1 1 EST_C 2 MATRIX Z This is a FULL matrix of order 1 by 1 1 EST_E 3 GROUP NUMBER: 4 G4: Constrain variance of latent factor to 1 MATRIX I This is a UNIT matrix of order 1 by 1 MATRIX L This is a computed FULL matrix of order 1 by 1 It has no free parameters specified GROUP NUMBER: 5 G5: Calculate Standardised Solution MATRIX A This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX C This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX E This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX F This is a FULL matrix of order 6 by 1 1 1 22 2 23 3 24 4 25 5 26 6 27 MATRIX G This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX I This is an IDENTITY matrix of order 6 by 6 MATRIX J This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX K This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX L This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 6 by 1 It has no free parameters specified MATRIX Q This is a computed FULL matrix of order 18 by 6 It has no free parameters specified MATRIX R This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 4 2 0 5 3 0 0 6 4 0 0 0 7 5 0 0 0 0 8 6 0 0 0 0 0 9 MATRIX U This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 10 2 0 11 3 0 0 12 4 0 0 0 13 5 0 0 0 0 14 6 0 0 0 0 0 15 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 16 2 0 17 3 0 0 18 4 0 0 0 19 5 0 0 0 0 20 6 0 0 0 0 0 21 MATRIX X This is a FULL matrix of order 1 by 1 1 EST_A 1 MATRIX Y This is a FULL matrix of order 1 by 1 1 EST_C 2 MATRIX Z This is a FULL matrix of order 1 by 1 1 EST_E 3 MX PARAMETER ESTIMATES GROUP NUMBER: 2 G2: MZ twins MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 1 0.2271 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 1 0.7060 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 1 0.0669 MATRIX F This is a FULL matrix of order 6 by 1 1 1 2.5524 2 2.8339 3 1.5943 4 1.8229 5 1.1041 6 2.3972 MATRIX G This is a computed FULL matrix of order 6 by 6 [=U*U'] 1 2 3 4 5 6 1 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 3.8935 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.2055 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 10.6174 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 13.1789 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 6.3971 MATRIX I This is an IDENTITY matrix of order 2 by 2 MATRIX J This is a computed FULL matrix of order 6 by 6 [=T*T'] 1 2 3 4 5 6 1 2.0219 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 2.3553 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.7720 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 MATRIX K This is a computed FULL matrix of order 6 by 6 [=V*V'] 1 2 3 4 5 6 1 7.5013 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 7.0148 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 7.0063 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 5.7716 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 13.3355 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 9.7373 MATRIX L This is a computed FULL matrix of order 1 by 1 [=A+C+E] 1 1 1.0000 MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 1.4219 2 0.0000 1.5347 3 0.0000 0.0000 1.9422 4 0.0000 0.0000 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 MATRIX U This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 0.0001 2 0.0000 1.9732 3 0.0000 0.0000 1.7904 4 0.0000 0.0000 0.0000 3.2584 5 0.0000 0.0000 0.0000 0.0000 3.6303 6 0.0000 0.0000 0.0000 0.0000 0.0000 2.5293 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 2.7388 2 0.0000 2.6485 3 0.0000 0.0000 2.6469 4 0.0000 0.0000 0.0000 2.4024 5 0.0000 0.0000 0.0000 0.0000 3.6518 6 0.0000 0.0000 0.0000 0.0000 0.0000 3.1205 MATRIX X This is a FULL matrix of order 1 by 1 1 EST_A 0.4765 MATRIX Y This is a FULL matrix of order 1 by 1 1 EST_C 0.8402 MATRIX Z This is a FULL matrix of order 1 by 1 1 EST_E 0.2587 OBSERVED COVARIANCE MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 17.7680 S1NAAMA 9.7131 18.0030 S1IDEEA 8.5250 8.3357 21.8650 S1EXCLA 8.2288 2.8827 6.3810 21.5590 S1SCHFA 1.4727 -0.7271 0.9663 11.4120 27.7540 S1FIGUA 6.7549 3.3897 1.5621 5.9210 6.4576 22.1070 S1WRDB 8.5029 9.1905 5.8142 2.6852 -1.6074 4.2009 13.5590 S1NAAMB 10.6260 14.8740 6.7886 3.6911 2.1789 6.0691 10.5770 S1IDEEB 4.6829 4.5854 9.7317 0.9268 0.9024 0.9024 4.4878 S1EXCLB 5.4843 1.4617 1.7108 14.6170 12.0800 7.2979 2.1638 S1SCHFB 2.2590 -0.6388 -1.5273 8.0267 16.8800 3.7375 -1.0511 S1FIGUB 12.6990 8.7642 5.6667 8.3740 6.3496 16.3500 7.0894 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 26.7280 S1IDEEB 6.6829 12.2930 S1EXCLB 4.4024 -1.5610 19.5030 S1SCHFB 1.1870 0.2927 5.7247 32.2900 S1FIGUB 9.7154 5.4634 10.2200 7.9187 30.5200 EXPECTED COVARIANCE MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 16.0376 S1NAAMA 7.2331 21.2944 S1IDEEA 4.0691 4.5179 16.5255 S1EXCLA 4.6526 5.1658 2.9061 19.7119 S1SCHFA 2.8182 3.1290 1.7603 2.0127 27.7336 S1FIGUA 6.1185 6.7934 3.8218 4.3698 2.6468 21.8810 S1WRDB 8.1003 6.7489 3.7968 4.3412 2.6295 5.7090 16.0376 S1NAAMB 6.7489 13.7421 4.2155 4.8200 2.9196 6.3387 7.2331 S1IDEEB 3.7968 4.2155 9.3490 2.7116 1.6425 3.5660 4.0691 S1EXCLB 4.3412 4.8200 2.7116 13.7179 1.8780 4.0773 4.6526 S1SCHFB 2.6295 2.9196 1.6425 1.8780 14.3164 2.4697 2.8182 S1FIGUB 5.7090 6.3387 3.5660 4.0773 2.4697 11.7591 6.1185 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 21.2944 S1IDEEB 4.5179 16.5255 S1EXCLB 5.1658 2.9061 19.7119 S1SCHFB 3.1290 1.7603 2.0127 27.7336 S1FIGUB 6.7934 3.8218 4.3698 2.6468 21.8810 RESIDUAL MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 1.7304 S1NAAMA 2.4800 -3.2914 S1IDEEA 4.4559 3.8178 5.3395 S1EXCLA 3.5762 -2.2831 3.4749 1.8471 S1SCHFA -1.3455 -3.8561 -0.7940 9.3993 0.0204 S1FIGUA 0.6364 -3.4037 -2.2597 1.5512 3.8108 0.2260 S1WRDB 0.4026 2.4416 2.0174 -1.6560 -4.2369 -1.5081 -2.4786 S1NAAMB 3.8771 1.1319 2.5731 -1.1289 -0.7407 -0.2696 3.3439 S1IDEEB 0.8861 0.3699 0.3827 -1.7848 -0.7400 -2.6635 0.4187 S1EXCLB 1.1431 -3.3583 -1.0008 0.8991 10.2020 3.2206 -2.4888 S1SCHFB -0.3705 -3.5583 -3.1698 6.1487 2.5636 1.2678 -3.8693 S1FIGUB 6.9900 2.4255 2.1007 4.2967 3.8799 4.5909 0.9709 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 5.4336 S1IDEEB 2.1650 -4.2325 S1EXCLB -0.7634 -4.4671 -0.2089 S1SCHFB -1.9420 -1.4676 3.7120 4.5564 S1FIGUB 2.9220 1.6416 5.8502 5.2719 8.6390 Function value of this group: 75.4836 Where the fit function is Maximum Likelihood GROUP NUMBER: 3 G3: DZ twins MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 1 0.2271 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 1 0.7060 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 1 0.0669 MATRIX F This is a FULL matrix of order 6 by 1 1 1 2.5524 2 2.8339 3 1.5943 4 1.8229 5 1.1041 6 2.3972 MATRIX G This is a computed FULL matrix of order 6 by 6 [=U*U'] 1 2 3 4 5 6 1 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 3.8935 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.2055 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 10.6174 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 13.1789 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 6.3971 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX I This is an IDENTITY matrix of order 2 by 2 MATRIX J This is a computed FULL matrix of order 6 by 6 [=T*T'] 1 2 3 4 5 6 1 2.0219 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 2.3553 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.7720 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 MATRIX K This is a computed FULL matrix of order 6 by 6 [=V*V'] 1 2 3 4 5 6 1 7.5013 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 7.0148 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 7.0063 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 5.7716 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 13.3355 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 9.7373 MATRIX L This is a computed FULL matrix of order 1 by 1 [=A+C+E] 1 1 1.0000 MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 1.4219 2 0.0000 1.5347 3 0.0000 0.0000 1.9422 4 0.0000 0.0000 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 MATRIX U This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 0.0001 2 0.0000 1.9732 3 0.0000 0.0000 1.7904 4 0.0000 0.0000 0.0000 3.2584 5 0.0000 0.0000 0.0000 0.0000 3.6303 6 0.0000 0.0000 0.0000 0.0000 0.0000 2.5293 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 2.7388 2 0.0000 2.6485 3 0.0000 0.0000 2.6469 4 0.0000 0.0000 0.0000 2.4024 5 0.0000 0.0000 0.0000 0.0000 3.6518 6 0.0000 0.0000 0.0000 0.0000 0.0000 3.1205 MATRIX X This is a FULL matrix of order 1 by 1 1 EST_A 0.4765 MATRIX Y This is a FULL matrix of order 1 by 1 1 EST_C 0.8402 MATRIX Z This is a FULL matrix of order 1 by 1 1 EST_E 0.2587 OBSERVED COVARIANCE MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 17.8990 S1NAAMA 7.3699 20.7870 S1IDEEA 3.2929 3.8953 18.9980 S1EXCLA 4.1700 6.6495 2.4385 18.3600 S1SCHFA 2.9291 4.7154 5.2398 4.6949 25.3020 S1FIGUA 1.5581 6.6639 2.8411 1.4413 6.3870 12.9490 S1WRDB 7.4623 5.3533 3.2204 6.4607 3.1561 4.2763 15.2390 S1NAAMB 2.1168 9.4956 3.4457 0.6013 -1.6617 5.1423 4.0659 S1IDEEB 2.1157 3.1838 6.8472 -0.7409 2.4956 -0.7984 -0.2940 S1EXCLB 3.3162 3.8466 -0.3134 5.6722 3.2946 2.2159 3.1357 S1SCHFB 0.8881 0.1573 2.7835 0.7242 3.6207 0.3649 -0.4939 S1FIGUB 2.5365 7.0493 4.3477 5.9352 6.9773 4.2353 7.6628 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 19.6940 S1IDEEB 4.6130 12.7880 S1EXCLB 1.2979 1.4945 18.7730 S1SCHFB -2.4590 0.1567 11.0200 25.7120 S1FIGUB 4.8527 2.1838 4.9419 3.8953 23.5020 EXPECTED COVARIANCE MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 16.0376 S1NAAMA 7.2331 21.2944 S1IDEEA 4.0691 4.5179 16.5255 S1EXCLA 4.6526 5.1658 2.9061 19.7119 S1SCHFA 2.8182 3.1290 1.7603 2.0127 27.7336 S1FIGUA 6.1185 6.7934 3.8218 4.3698 2.6468 21.8810 S1WRDB 7.3607 5.9278 3.3348 3.8130 2.3096 5.0143 16.0376 S1NAAMB 5.9278 10.8836 3.7026 4.2336 2.5643 5.5674 7.2331 S1IDEEB 3.3348 3.7026 7.4577 2.3817 1.4426 3.1321 4.0691 S1EXCLB 3.8130 4.2336 2.3817 8.0319 1.6495 3.5812 4.6526 S1SCHFB 2.3096 2.5643 1.4426 1.6495 7.5886 2.1692 2.8182 S1FIGUB 5.0143 5.5674 3.1321 3.5812 2.1692 7.9081 6.1185 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 21.2944 S1IDEEB 4.5179 16.5255 S1EXCLB 5.1658 2.9061 19.7119 S1SCHFB 3.1290 1.7603 2.0127 27.7336 S1FIGUB 6.7934 3.8218 4.3698 2.6468 21.8810 RESIDUAL MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 1.8614 S1NAAMA 0.1368 -0.5074 S1IDEEA -0.7762 -0.6226 2.4725 S1EXCLA -0.4826 1.4837 -0.4676 -1.3519 S1SCHFA 0.1109 1.5864 3.4795 2.6822 -2.4316 S1FIGUA -4.5604 -0.1295 -0.9807 -2.9285 3.7402 -8.9320 S1WRDB 0.1016 -0.5745 -0.1144 2.6477 0.8465 -0.7380 -0.7986 S1NAAMB -3.8110 -1.3880 -0.2569 -3.6322 -4.2260 -0.4251 -3.1672 S1IDEEB -1.2191 -0.5188 -0.6105 -3.1225 1.0530 -3.9305 -4.3631 S1EXCLB -0.4968 -0.3870 -2.6951 -2.3597 1.6451 -1.3653 -1.5169 S1SCHFB -1.4214 -2.4071 1.3409 -0.9252 -3.9679 -1.8043 -3.3121 S1FIGUB -2.4778 1.4819 1.2156 2.3540 4.8081 -3.6728 1.5443 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB -1.6004 S1IDEEB 0.0951 -3.7375 S1EXCLB -3.8679 -1.4116 -0.9389 S1SCHFB -5.5880 -1.6036 9.0073 -2.0216 S1FIGUB -1.9407 -1.6380 0.5721 1.2485 1.6210 Function value of this group: 69.0703 Where the fit function is Maximum Likelihood GROUP NUMBER: 4 G4: Constrain variance of latent factor to 1 MATRIX I This is a UNIT matrix of order 1 by 1 MATRIX L This is a computed FULL matrix of order 1 by 1 1 1 1.0000 GROUP NUMBER: 5 G5: Calculate Standardised Solution MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 1 0.2271 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 1 0.7060 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 1 0.0669 MATRIX F This is a FULL matrix of order 6 by 1 1 1 2.5524 2 2.8339 3 1.5943 4 1.8229 5 1.1041 6 2.3972 MATRIX G This is a computed FULL matrix of order 6 by 6 [=U*U'] 1 2 3 4 5 6 1 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 3.8935 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.2055 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 10.6174 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 13.1789 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 6.3971 MATRIX I This is an IDENTITY matrix of order 6 by 6 MATRIX J This is a computed FULL matrix of order 6 by 6 [=T*T'] 1 2 3 4 5 6 1 2.0219 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 2.3553 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.7720 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 MATRIX K This is a computed FULL matrix of order 6 by 6 [=V*V'] 1 2 3 4 5 6 1 7.5013 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 7.0148 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 7.0063 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 5.7716 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 13.3355 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 9.7373 MATRIX L This is a computed FULL matrix of order 1 by 1 [=A+C+E] 1 1 1.0000 MATRIX P This is a computed FULL matrix of order 6 by 1 [=S*F] 1 F1 0.6373 F2 0.6141 F3 0.3922 F4 0.4106 F5 0.2097 F6 0.5125 MATRIX Q This is a computed FULL matrix of order 18 by 6 [=S*T_S*U_S*V] VERBAL NAMES IDEAS EXCL DISCS FIGURES AS1 0.3551 0.0000 0.0000 0.0000 0.0000 0.0000 AS2 0.0000 0.3326 0.0000 0.0000 0.0000 0.0000 AS3 0.0000 0.0000 0.4778 0.0000 0.0000 0.0000 AS4 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 AS5 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 AS6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 CS1 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 CS2 0.0000 0.4276 0.0000 0.0000 0.0000 0.0000 CS3 0.0000 0.0000 0.4404 0.0000 0.0000 0.0000 CS4 0.0000 0.0000 0.0000 0.7339 0.0000 0.0000 CS5 0.0000 0.0000 0.0000 0.0000 0.6893 0.0000 CS6 0.0000 0.0000 0.0000 0.0000 0.0000 0.5407 ES1 0.6839 0.0000 0.0000 0.0000 0.0000 0.0000 ES2 0.0000 0.5740 0.0000 0.0000 0.0000 0.0000 ES3 0.0000 0.0000 0.6511 0.0000 0.0000 0.0000 ES4 0.0000 0.0000 0.0000 0.5411 0.0000 0.0000 ES5 0.0000 0.0000 0.0000 0.0000 0.6934 0.0000 ES6 0.0000 0.0000 0.0000 0.0000 0.0000 0.6671 MATRIX R This is a computed FULL matrix of order 6 by 6 [=G+J+K+F&(L)] 1 2 3 4 5 6 1 16.0376 7.2331 4.0691 4.6526 2.8182 6.1185 2 7.2331 21.2944 4.5179 5.1658 3.1290 6.7934 3 4.0691 4.5179 16.5255 2.9061 1.7603 3.8218 4 4.6526 5.1658 2.9061 19.7119 2.0127 4.3698 5 2.8182 3.1290 1.7603 2.0127 27.7336 2.6468 6 6.1185 6.7934 3.8218 4.3698 2.6468 21.8810 MATRIX S This is a computed FULL matrix of order 6 by 6 [=(\SQRT(I.R))~] 1 2 3 4 5 6 1 0.2497 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 0.2167 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 0.2460 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 0.2252 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 0.1899 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.2138 MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 1.4219 2 0.0000 1.5347 3 0.0000 0.0000 1.9422 4 0.0000 0.0000 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 MATRIX U This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 0.0001 2 0.0000 1.9732 3 0.0000 0.0000 1.7904 4 0.0000 0.0000 0.0000 3.2584 5 0.0000 0.0000 0.0000 0.0000 3.6303 6 0.0000 0.0000 0.0000 0.0000 0.0000 2.5293 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 2.7388 2 0.0000 2.6485 3 0.0000 0.0000 2.6469 4 0.0000 0.0000 0.0000 2.4024 5 0.0000 0.0000 0.0000 0.0000 3.6518 6 0.0000 0.0000 0.0000 0.0000 0.0000 3.1205 MATRIX X This is a FULL matrix of order 1 by 1 1 EST_A 0.4765 MATRIX Y This is a FULL matrix of order 1 by 1 1 EST_C 0.8402 MATRIX Z This is a FULL matrix of order 1 by 1 1 EST_E 0.2587 Your model has 27 estimated parameters and 157 Observed statistics Observed statistics include 1 constraints. Chi-squared fit of model >>>>>>> 144.554 Degrees of freedom >>>>>>>>>>>>> 130 Probability >>>>>>>>>>>>>>>>>>>> 0.181 Akaike's Information Criterion > -115.446 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>> 0.048 This problem used 3.2% of my workspace Task Time elapsed (DD:HH:MM:SS) Reading script & data 0: 0: 0: 0.16 Execution 0: 0: 0:10.88 TOTAL 0: 0: 0:11.04 Total number of warnings issued: 1 ______________________________________________________________________________