! Multivariate example - Independent 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 calculates genetic and environmental standardized path coefficients The following MX script lines were read for group 1 #DEFINE NVAR=6 #NGROUPS 4 Note: #NGroup set number of groups to 4 G1: DEFINE MATRICES CALCULATION BEGIN MATRICES; X FULL NVAR 2 FREE ! COMMON FACTOR GENETIC PATH COEFFICIENTS Y FULL NVAR 1 FREE ! COMMON FACTOR SHARED ENVIRONMENT PATH COEFFICIENTS Z FULL NVAR 1 FREE ! COMMON FACTOR NONSHARED ENVIRONMENT PATH COEFFICIENTS 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 END MATRICES; SPECIFY X 1 0 2 0 3 0 0 4 0 5 0 6 BEGIN ALGEBRA; A=X*X'; ! COMMON FACTOR GENETIC VARIANCE COMPONENTS C=Y*Y'; ! COMMON FACTOR SHARED ENVIRONMENT VARIANCE COMPONENTS E=Z*Z'; ! COMMON 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 END ALGEBRA; START .5 ALL BOUND 0 10 ALL LABELS COL X EST_A LABELS ROW X VERBAL NAMES IDEAS EXCL DISCS FIGURES LABELS COL Y EST_C LABELS ROW Y VERBAL NAMES IDEAS EXCL DISCS FIGURES LABELS COL Z EST_E LABELS ROW Z 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 ) + (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 ) + (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: CALCULATE STANDARDISED SOLUTION CALCULATION MATRICES = GROUP 1 I IDEN NVAR NVAR END MATRICES; BEGIN ALGEBRA; R=A+C+E+G+J+K; ! TOTAL VARIANCE S=(\SQRT(I.R))~; ! DIAGONAL MATRIX OF STANDARD DEVIATIONS P=S*X; O=S*Y_ S*Z; ! STANDARDIZED ESTIMATES FOR COMMON FACTORS Q=S*T_ S*U_ S*V; ! STANDARDIZED ESTIMATES FOR SPECIFIC FACTORS END ALGEBRA; ! Labels Row P a1 a2 a3 a4 a5 a6 c1 c2 c3 c4 c5 c6 e1 e2 e3 e4 e5 e6 LABELS 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 6 by 6 It has no free parameters specified MATRIX C This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX E This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX G This is a computed FULL matrix of order 6 by 6 It has no free parameters specified 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 T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 25 2 0 26 3 0 0 27 4 0 0 0 28 5 0 0 0 0 29 6 0 0 0 0 0 30 MATRIX U This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 31 2 0 32 3 0 0 33 4 0 0 0 34 5 0 0 0 0 35 6 0 0 0 0 0 36 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 37 2 0 38 3 0 0 39 4 0 0 0 40 5 0 0 0 0 41 6 0 0 0 0 0 42 MATRIX X This is a FULL matrix of order 6 by 2 EST_A LABELS 1 1 0 2 2 0 3 3 0 4 0 4 5 0 5 6 0 6 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 13 NAMES 14 IDEAS 15 EXCL 16 DISCS 17 FIGURES 18 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 19 NAMES 20 IDEAS 21 EXCL 22 DISCS 23 FIGURES 24 GROUP NUMBER: 3 G3: DZ twins MATRIX A This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX C This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX E This is a computed FULL matrix of order 6 by 6 It has no free parameters specified 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 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 T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 25 2 0 26 3 0 0 27 4 0 0 0 28 5 0 0 0 0 29 6 0 0 0 0 0 30 MATRIX U This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 31 2 0 32 3 0 0 33 4 0 0 0 34 5 0 0 0 0 35 6 0 0 0 0 0 36 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 37 2 0 38 3 0 0 39 4 0 0 0 40 5 0 0 0 0 41 6 0 0 0 0 0 42 MATRIX X This is a FULL matrix of order 6 by 2 EST_A LABELS 1 1 0 2 2 0 3 3 0 4 0 4 5 0 5 6 0 6 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 13 NAMES 14 IDEAS 15 EXCL 16 DISCS 17 FIGURES 18 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 19 NAMES 20 IDEAS 21 EXCL 22 DISCS 23 FIGURES 24 GROUP NUMBER: 4 G4: Calculate Standardised Solution MATRIX A This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX C This is a computed FULL matrix of order 6 by 6 It has no free parameters specified MATRIX E This is a computed FULL matrix of order 6 by 6 It has no free parameters specified 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 O This is a computed FULL matrix of order 12 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 6 by 2 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 25 2 0 26 3 0 0 27 4 0 0 0 28 5 0 0 0 0 29 6 0 0 0 0 0 30 MATRIX U This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 31 2 0 32 3 0 0 33 4 0 0 0 34 5 0 0 0 0 35 6 0 0 0 0 0 36 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 37 2 0 38 3 0 0 39 4 0 0 0 40 5 0 0 0 0 41 6 0 0 0 0 0 42 MATRIX X This is a FULL matrix of order 6 by 2 EST_A LABELS 1 1 0 2 2 0 3 3 0 4 0 4 5 0 5 6 0 6 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 13 NAMES 14 IDEAS 15 EXCL 16 DISCS 17 FIGURES 18 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 19 NAMES 20 IDEAS 21 EXCL 22 DISCS 23 FIGURES 24 MX PARAMETER ESTIMATES GROUP NUMBER: 2 G2: MZ twins MATRIX A This is a computed FULL matrix of order 6 by 6 [=X*X'] 1 2 3 4 5 6 1 0.5486 1.7987 0.4034 0.0000 0.0000 0.0000 2 1.7987 5.8982 1.3228 0.0000 0.0000 0.0000 3 0.4034 1.3228 0.2967 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 4.0263 7.6675 2.3039 5 0.0000 0.0000 0.0000 7.6675 14.6014 4.3874 6 0.0000 0.0000 0.0000 2.3039 4.3874 1.3183 MATRIX C This is a computed FULL matrix of order 6 by 6 [=Y*Y'] 1 2 3 4 5 6 1 5.8729 5.8499 2.9118 3.6301 1.0052 5.8217 2 5.8499 5.8270 2.9004 3.6159 1.0013 5.7989 3 2.9118 2.9004 1.4437 1.7998 0.4984 2.8864 4 3.6301 3.6159 1.7998 2.2438 0.6213 3.5984 5 1.0052 1.0013 0.4984 0.6213 0.1720 0.9964 6 5.8217 5.7989 2.8864 3.5984 0.9964 5.7709 MATRIX E This is a computed FULL matrix of order 6 by 6 [=Z*Z'] 1 2 3 4 5 6 1 0.1406 0.3990 0.4760 0.3371 0.0687 0.0000 2 0.3990 1.1326 1.3512 0.9569 0.1950 0.0000 3 0.4760 1.3512 1.6119 1.1415 0.2326 0.0000 4 0.3371 0.9569 1.1415 0.8084 0.1647 0.0000 5 0.0687 0.1950 0.2326 0.1647 0.0336 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 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 0.0000 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.8514 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 7.3989 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 4.7325 MATRIX J This is a computed FULL matrix of order 6 by 6 [=T*T'] 1 2 3 4 5 6 1 1.7456 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 2.0654 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.6326 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 7.8170 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 6.3974 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 5.6034 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 5.1841 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 12.9204 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 10.2167 MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 1.3212 2 0.0000 1.4371 3 0.0000 0.0000 1.9059 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 0.0000 3 0.0000 0.0000 1.9625 4 0.0000 0.0000 0.0000 2.7201 5 0.0000 0.0000 0.0000 0.0000 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 2.1754 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 2.7959 2 0.0000 2.5293 3 0.0000 0.0000 2.3672 4 0.0000 0.0000 0.0000 2.2769 5 0.0000 0.0000 0.0000 0.0000 3.5945 6 0.0000 0.0000 0.0000 0.0000 0.0000 3.1964 MATRIX X This is a FULL matrix of order 6 by 2 EST_A LABELS 1 0.7406 0.0000 2 2.4286 0.0000 3 0.5447 0.0000 4 0.0000 2.0066 5 0.0000 3.8212 6 0.0000 1.1482 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 2.4234 NAMES 2.4139 IDEAS 1.2015 EXCL 1.4979 DISCS 0.4148 FIGURES 2.4023 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 0.3749 NAMES 1.0642 IDEAS 1.2696 EXCL 0.8991 DISCS 0.1832 FIGURES 0.0000 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 16.1247 S1NAAMA 8.0477 21.3206 S1IDEEA 3.7913 5.5744 16.4397 S1EXCLA 3.9672 4.5728 2.9413 19.6614 S1SCHFA 1.0739 1.1962 0.7310 8.4535 27.7274 S1FIGUA 5.8217 5.7989 2.8864 5.9023 5.3838 22.0384 S1WRDB 8.1671 7.6487 3.3152 3.6301 1.0052 5.8217 16.1247 S1NAAMB 7.6487 13.7905 4.2232 3.6159 1.0013 5.7989 8.0477 S1IDEEB 3.3152 4.2232 9.2244 1.7998 0.4984 2.8864 3.7913 S1EXCLB 3.6301 3.6159 1.7998 13.6690 8.2888 5.9023 3.9672 S1SCHFB 1.0052 1.0013 0.4984 8.2888 14.7735 5.3838 1.0739 S1FIGUB 5.8217 5.7989 2.8864 5.9023 5.3838 11.8217 5.8217 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 21.3206 S1IDEEB 5.5744 16.4397 S1EXCLB 4.5728 2.9413 19.6614 S1SCHFB 1.1962 0.7310 8.4535 27.7274 S1FIGUB 5.7989 2.8864 5.9023 5.3838 22.0384 RESIDUAL MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 1.6433 S1NAAMA 1.6654 -3.3176 S1IDEEA 4.7337 2.7613 5.4253 S1EXCLA 4.2616 -1.6901 3.4397 1.8976 S1SCHFA 0.3988 -1.9233 0.2354 2.9585 0.0266 S1FIGUA 0.9332 -2.4092 -1.3243 0.0187 1.0738 0.0686 S1WRDB 0.3358 1.5418 2.4990 -0.9449 -2.6126 -1.6208 -2.5657 S1NAAMB 2.9773 1.0835 2.5654 0.0752 1.1776 0.2702 2.5293 S1IDEEB 1.3677 0.3622 0.5073 -0.8730 0.4041 -1.9840 0.6965 S1EXCLB 1.8542 -2.1542 -0.0890 0.9480 3.7912 1.3956 -1.8034 S1SCHFB 1.2538 -1.6400 -2.0257 -0.2621 2.1065 -1.6463 -2.1250 S1FIGUB 6.8773 2.9653 2.7803 2.4717 0.9658 4.5283 1.2677 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 5.4074 S1IDEEB 1.1085 -4.1467 S1EXCLB -0.1704 -4.5023 -0.1584 S1SCHFB -0.0092 -0.4383 -2.7288 4.5626 S1FIGUB 3.9165 2.5770 4.3177 2.5349 8.4816 Function value of this group: 56.0197 Where the fit function is Maximum Likelihood GROUP NUMBER: 3 G3: DZ twins MATRIX A This is a computed FULL matrix of order 6 by 6 [=X*X'] 1 2 3 4 5 6 1 0.5486 1.7987 0.4034 0.0000 0.0000 0.0000 2 1.7987 5.8982 1.3228 0.0000 0.0000 0.0000 3 0.4034 1.3228 0.2967 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 4.0263 7.6675 2.3039 5 0.0000 0.0000 0.0000 7.6675 14.6014 4.3874 6 0.0000 0.0000 0.0000 2.3039 4.3874 1.3183 MATRIX C This is a computed FULL matrix of order 6 by 6 [=Y*Y'] 1 2 3 4 5 6 1 5.8729 5.8499 2.9118 3.6301 1.0052 5.8217 2 5.8499 5.8270 2.9004 3.6159 1.0013 5.7989 3 2.9118 2.9004 1.4437 1.7998 0.4984 2.8864 4 3.6301 3.6159 1.7998 2.2438 0.6213 3.5984 5 1.0052 1.0013 0.4984 0.6213 0.1720 0.9964 6 5.8217 5.7989 2.8864 3.5984 0.9964 5.7709 MATRIX E This is a computed FULL matrix of order 6 by 6 [=Z*Z'] 1 2 3 4 5 6 1 0.1406 0.3990 0.4760 0.3371 0.0687 0.0000 2 0.3990 1.1326 1.3512 0.9569 0.1950 0.0000 3 0.4760 1.3512 1.6119 1.1415 0.2326 0.0000 4 0.3371 0.9569 1.1415 0.8084 0.1647 0.0000 5 0.0687 0.1950 0.2326 0.1647 0.0336 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 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 0.0000 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.8514 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 7.3989 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 4.7325 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX J This is a computed FULL matrix of order 6 by 6 [=T*T'] 1 2 3 4 5 6 1 1.7456 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 2.0654 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.6326 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 7.8170 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 6.3974 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 5.6034 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 5.1841 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 12.9204 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 10.2167 MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 1.3212 2 0.0000 1.4371 3 0.0000 0.0000 1.9059 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 0.0000 3 0.0000 0.0000 1.9625 4 0.0000 0.0000 0.0000 2.7201 5 0.0000 0.0000 0.0000 0.0000 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 2.1754 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 2.7959 2 0.0000 2.5293 3 0.0000 0.0000 2.3672 4 0.0000 0.0000 0.0000 2.2769 5 0.0000 0.0000 0.0000 0.0000 3.5945 6 0.0000 0.0000 0.0000 0.0000 0.0000 3.1964 MATRIX X This is a FULL matrix of order 6 by 2 EST_A LABELS 1 0.7406 0.0000 2 2.4286 0.0000 3 0.5447 0.0000 4 0.0000 2.0066 5 0.0000 3.8212 6 0.0000 1.1482 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 2.4234 NAMES 2.4139 IDEAS 1.2015 EXCL 1.4979 DISCS 0.4148 FIGURES 2.4023 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 0.3749 NAMES 1.0642 IDEAS 1.2696 EXCL 0.8991 DISCS 0.1832 FIGURES 0.0000 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 16.1247 S1NAAMA 8.0477 21.3206 S1IDEEA 3.7913 5.5744 16.4397 S1EXCLA 3.9672 4.5728 2.9413 19.6614 S1SCHFA 1.0739 1.1962 0.7310 8.4535 27.7274 S1FIGUA 5.8217 5.7989 2.8864 5.9023 5.3838 22.0384 S1WRDB 7.8928 6.7493 3.1135 3.6301 1.0052 5.8217 16.1247 S1NAAMB 6.7493 10.8414 3.5618 3.6159 1.0013 5.7989 8.0477 S1IDEEB 3.1135 3.5618 7.1504 1.7998 0.4984 2.8864 3.7913 S1EXCLB 3.6301 3.6159 1.7998 7.9564 4.4551 4.7504 3.9672 S1SCHFB 1.0052 1.0013 0.4984 4.4551 7.4728 3.1901 1.0739 S1FIGUB 5.8217 5.7989 2.8864 4.7504 3.1901 8.7963 5.8217 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 21.3206 S1IDEEB 5.5744 16.4397 S1EXCLB 4.5728 2.9413 19.6614 S1SCHFB 1.1962 0.7310 8.4535 27.7274 S1FIGUB 5.7989 2.8864 5.9023 5.3838 22.0384 RESIDUAL MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 1.7743 S1NAAMA -0.6778 -0.5336 S1IDEEA -0.4984 -1.6791 2.5583 S1EXCLA 0.2028 2.0767 -0.5028 -1.3014 S1SCHFA 1.8552 3.5192 4.5088 -3.7586 -2.4254 S1FIGUA -4.2636 0.8650 -0.0453 -4.4610 1.0032 -9.0894 S1WRDB -0.4305 -1.3960 0.1069 2.8306 2.1509 -1.5454 -0.8857 S1NAAMB -4.6325 -1.3458 -0.1161 -3.0146 -2.6630 -0.6566 -3.9818 S1IDEEB -0.9978 -0.3780 -0.3032 -2.5407 1.9972 -3.6849 -4.0853 S1EXCLB -0.3139 0.2307 -2.1132 -2.2842 -1.1605 -2.5345 -0.8315 S1SCHFB -0.1170 -0.8440 2.2851 -3.7308 -3.8521 -2.8252 -1.5678 S1FIGUB -3.2852 1.2504 1.4613 1.1848 3.7872 -4.5610 1.8411 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB -1.6266 S1IDEEB -0.9614 -3.6517 S1EXCLB -3.2749 -1.4468 -0.8884 S1SCHFB -3.6552 -0.5743 2.5665 -2.0154 S1FIGUB -0.9462 -0.7026 -0.9604 -1.4885 1.4636 Function value of this group: 59.3480 Where the fit function is Maximum Likelihood GROUP NUMBER: 4 G4: Calculate Standardised Solution MATRIX A This is a computed FULL matrix of order 6 by 6 [=X*X'] 1 2 3 4 5 6 1 0.5486 1.7987 0.4034 0.0000 0.0000 0.0000 2 1.7987 5.8982 1.3228 0.0000 0.0000 0.0000 3 0.4034 1.3228 0.2967 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 4.0263 7.6675 2.3039 5 0.0000 0.0000 0.0000 7.6675 14.6014 4.3874 6 0.0000 0.0000 0.0000 2.3039 4.3874 1.3183 MATRIX C This is a computed FULL matrix of order 6 by 6 [=Y*Y'] 1 2 3 4 5 6 1 5.8729 5.8499 2.9118 3.6301 1.0052 5.8217 2 5.8499 5.8270 2.9004 3.6159 1.0013 5.7989 3 2.9118 2.9004 1.4437 1.7998 0.4984 2.8864 4 3.6301 3.6159 1.7998 2.2438 0.6213 3.5984 5 1.0052 1.0013 0.4984 0.6213 0.1720 0.9964 6 5.8217 5.7989 2.8864 3.5984 0.9964 5.7709 MATRIX E This is a computed FULL matrix of order 6 by 6 [=Z*Z'] 1 2 3 4 5 6 1 0.1406 0.3990 0.4760 0.3371 0.0687 0.0000 2 0.3990 1.1326 1.3512 0.9569 0.1950 0.0000 3 0.4760 1.3512 1.6119 1.1415 0.2326 0.0000 4 0.3371 0.9569 1.1415 0.8084 0.1647 0.0000 5 0.0687 0.1950 0.2326 0.1647 0.0336 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 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 0.0000 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.8514 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 7.3989 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 4.7325 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 1.7456 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 2.0654 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.6326 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 7.8170 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 6.3974 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 5.6034 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 5.1841 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 12.9204 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 10.2167 MATRIX O This is a computed FULL matrix of order 12 by 1 [=S*Y_S*Z] 1 1 0.6035 2 0.5228 3 0.2963 4 0.3378 5 0.0788 6 0.5117 7 0.0934 8 0.2305 9 0.3131 10 0.2028 11 0.0348 12 0.0000 MATRIX P This is a computed FULL matrix of order 6 by 2 [=S*X] 1 2 1 0.1844 0.0000 2 0.5260 0.0000 3 0.1343 0.0000 4 0.0000 0.4525 5 0.0000 0.7257 6 0.0000 0.2446 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 0.3290 0.0000 0.0000 0.0000 0.0000 0.0000 AS2 0.0000 0.3112 0.0000 0.0000 0.0000 0.0000 AS3 0.0000 0.0000 0.4701 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 0.0000 0.0000 0.0000 0.0000 0.0000 CS3 0.0000 0.0000 0.4840 0.0000 0.0000 0.0000 CS4 0.0000 0.0000 0.0000 0.6134 0.0000 0.0000 CS5 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 CS6 0.0000 0.0000 0.0000 0.0000 0.0000 0.4634 ES1 0.6963 0.0000 0.0000 0.0000 0.0000 0.0000 ES2 0.0000 0.5478 0.0000 0.0000 0.0000 0.0000 ES3 0.0000 0.0000 0.5838 0.0000 0.0000 0.0000 ES4 0.0000 0.0000 0.0000 0.5135 0.0000 0.0000 ES5 0.0000 0.0000 0.0000 0.0000 0.6826 0.0000 ES6 0.0000 0.0000 0.0000 0.0000 0.0000 0.6809 MATRIX R This is a computed FULL matrix of order 6 by 6 [=A+C+E+G+J+K] 1 2 3 4 5 6 1 16.1247 8.0477 3.7913 3.9672 1.0739 5.8217 2 8.0477 21.3206 5.5744 4.5728 1.1962 5.7989 3 3.7913 5.5744 16.4397 2.9413 0.7310 2.8864 4 3.9672 4.5728 2.9413 19.6614 8.4535 5.9023 5 1.0739 1.1962 0.7310 8.4535 27.7274 5.3838 6 5.8217 5.7989 2.8864 5.9023 5.3838 22.0384 MATRIX S This is a computed FULL matrix of order 6 by 6 [=(\SQRT(I.R))~] 1 2 3 4 5 6 1 0.2490 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 0.2166 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 0.2466 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 0.2255 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 0.2130 MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 1.3212 2 0.0000 1.4371 3 0.0000 0.0000 1.9059 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 0.0000 3 0.0000 0.0000 1.9625 4 0.0000 0.0000 0.0000 2.7201 5 0.0000 0.0000 0.0000 0.0000 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 2.1754 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 2.7959 2 0.0000 2.5293 3 0.0000 0.0000 2.3672 4 0.0000 0.0000 0.0000 2.2769 5 0.0000 0.0000 0.0000 0.0000 3.5945 6 0.0000 0.0000 0.0000 0.0000 0.0000 3.1964 MATRIX X This is a FULL matrix of order 6 by 2 EST_A LABELS 1 0.7406 0.0000 2 2.4286 0.0000 3 0.5447 0.0000 4 0.0000 2.0066 5 0.0000 3.8212 6 0.0000 1.1482 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 2.4234 NAMES 2.4139 IDEAS 1.2015 EXCL 1.4979 DISCS 0.4148 FIGURES 2.4023 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 0.3749 NAMES 1.0642 IDEAS 1.2696 EXCL 0.8991 DISCS 0.1832 FIGURES 0.0000 Your model has 36 estimated parameters and 156 Observed statistics Chi-squared fit of model >>>>>>> 115.368 Degrees of freedom >>>>>>>>>>>>> 120 Probability >>>>>>>>>>>>>>>>>>>> 0.602 Akaike's Information Criterion > -124.632 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>> 0.000 This problem used 3.1% of my workspace Task Time elapsed (DD:HH:MM:SS) Reading script & data 0: 0: 0: 0.22 Execution 0: 0: 0:17.69 TOTAL 0: 0: 0:17.91 Total number of warnings issued: 0 ______________________________________________________________________________