! 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 1 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; 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_ 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 19 2 0 20 3 0 0 21 4 0 0 0 22 5 0 0 0 0 23 6 0 0 0 0 0 24 MATRIX U 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 V 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 X This is a FULL matrix of order 6 by 1 EST_A VERBAL 1 NAMES 2 IDEAS 3 EXCL 4 DISCS 5 FIGURES 6 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 7 NAMES 8 IDEAS 9 EXCL 10 DISCS 11 FIGURES 12 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 13 NAMES 14 IDEAS 15 EXCL 16 DISCS 17 FIGURES 18 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 19 2 0 20 3 0 0 21 4 0 0 0 22 5 0 0 0 0 23 6 0 0 0 0 0 24 MATRIX U 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 V 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 X This is a FULL matrix of order 6 by 1 EST_A VERBAL 1 NAMES 2 IDEAS 3 EXCL 4 DISCS 5 FIGURES 6 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 7 NAMES 8 IDEAS 9 EXCL 10 DISCS 11 FIGURES 12 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 13 NAMES 14 IDEAS 15 EXCL 16 DISCS 17 FIGURES 18 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 P This is a computed FULL matrix of order 18 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 19 2 0 20 3 0 0 21 4 0 0 0 22 5 0 0 0 0 23 6 0 0 0 0 0 24 MATRIX U 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 V 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 X This is a FULL matrix of order 6 by 1 EST_A VERBAL 1 NAMES 2 IDEAS 3 EXCL 4 DISCS 5 FIGURES 6 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 7 NAMES 8 IDEAS 9 EXCL 10 DISCS 11 FIGURES 12 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 13 NAMES 14 IDEAS 15 EXCL 16 DISCS 17 FIGURES 18 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 0.0011 0.0000 0.0059 0.0705 0.1289 0.0424 2 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 3 0.0059 0.0000 0.0303 0.3639 0.6647 0.2187 4 0.0705 0.0000 0.3639 4.3717 7.9853 2.6277 5 0.1289 0.0000 0.6647 7.9853 14.5859 4.7997 6 0.0424 0.0000 0.2187 2.6277 4.7997 1.5794 MATRIX C This is a computed FULL matrix of order 6 by 6 [=Y*Y'] 1 2 3 4 5 6 1 6.6915 7.1278 3.4888 3.4772 0.7548 5.7698 2 7.1278 7.5925 3.7163 3.7039 0.8040 6.1459 3 3.4888 3.7163 1.8190 1.8129 0.3935 3.0082 4 3.4772 3.7039 1.8129 1.8069 0.3922 2.9982 5 0.7548 0.8040 0.3935 0.3922 0.0851 0.6508 6 5.7698 6.1459 3.0082 2.9982 0.6508 4.9750 MATRIX E This is a computed FULL matrix of order 6 by 6 [=Z*Z'] 1 2 3 4 5 6 1 0.2352 0.6393 0.6004 0.3794 0.0661 0.0000 2 0.6393 1.7378 1.6321 1.0315 0.1796 0.0000 3 0.6004 1.6321 1.5327 0.9687 0.1687 0.0000 4 0.3794 1.0315 0.9687 0.6122 0.1066 0.0000 5 0.0661 0.1796 0.1687 0.1066 0.0186 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 5.3487 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.7941 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 7.5917 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 5.3842 MATRIX J This is a computed FULL matrix of order 6 by 6 [=T*T'] 1 2 3 4 5 6 1 1.2549 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 0.6541 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.6010 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 7.9352 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 5.9488 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 5.7038 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 5.3081 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 13.0168 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 10.0783 MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 1.1202 2 0.0000 0.8088 3 0.0000 0.0000 1.8976 4 0.0000 0.0000 0.0000 0.0001 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 0.0000 2 0.0000 2.3127 3 0.0000 0.0000 1.9478 4 0.0000 0.0000 0.0000 2.7553 5 0.0000 0.0000 0.0000 0.0000 0.0006 6 0.0000 0.0000 0.0000 0.0000 0.0000 2.3204 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 2.8170 2 0.0000 2.4390 3 0.0000 0.0000 2.3883 4 0.0000 0.0000 0.0000 2.3039 5 0.0000 0.0000 0.0000 0.0000 3.6079 6 0.0000 0.0000 0.0000 0.0000 0.0000 3.1746 MATRIX X This is a FULL matrix of order 6 by 1 EST_A VERBAL 0.0337 NAMES 0.0000 IDEAS 0.1740 EXCL 2.0908 DISCS 3.8191 FIGURES 1.2568 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 2.5868 NAMES 2.7554 IDEAS 1.3487 EXCL 1.3442 DISCS 0.2918 FIGURES 2.2305 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 0.4849 NAMES 1.3183 IDEAS 1.2380 EXCL 0.7824 DISCS 0.1363 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 16.1179 S1NAAMA 7.7671 21.2818 S1IDEEA 4.0951 5.3483 16.4809 S1EXCLA 3.9272 4.7354 3.1455 19.6905 S1SCHFA 0.9497 0.9836 1.2269 8.4841 27.7063 S1FIGUA 5.8122 6.1459 3.2270 5.6259 5.4506 22.0169 S1WRDB 7.9476 7.1278 3.4947 3.5478 0.8836 5.8122 16.1179 S1NAAMB 7.1278 13.5952 3.7163 3.7039 0.8040 6.1459 7.7671 S1IDEEB 3.4947 3.7163 9.2444 2.1768 1.0582 3.2270 4.0951 S1EXCLB 3.5478 3.7039 2.1768 13.7702 8.3775 5.6259 3.9272 S1SCHFB 0.8836 0.8040 1.0582 8.3775 14.6710 5.4506 0.9497 S1FIGUB 5.8122 6.1459 3.2270 5.6259 5.4506 11.9386 5.8122 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 21.2818 S1IDEEB 5.3483 16.4809 S1EXCLB 4.7354 3.1455 19.6905 S1SCHFB 0.9836 1.2269 8.4841 27.7063 S1FIGUB 6.1459 3.2270 5.6259 5.4506 22.0169 RESIDUAL MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 1.6501 S1NAAMA 1.9460 -3.2788 S1IDEEA 4.4299 2.9874 5.3841 S1EXCLA 4.3016 -1.8527 3.2355 1.8685 S1SCHFA 0.5230 -1.7107 -0.2606 2.9279 0.0477 S1FIGUA 0.9427 -2.7562 -1.6649 0.2951 1.0070 0.0901 S1WRDB 0.5553 2.0627 2.3195 -0.8626 -2.4910 -1.6113 -2.5589 S1NAAMB 3.4982 1.2788 3.0723 -0.0128 1.3749 -0.0768 2.8099 S1IDEEB 1.1882 0.8691 0.4873 -1.2500 -0.1557 -2.3245 0.3927 S1EXCLB 1.9365 -2.2422 -0.4660 0.8468 3.7025 1.6720 -1.7634 S1SCHFB 1.3754 -1.4428 -2.5855 -0.3508 2.2090 -1.7131 -2.0008 S1FIGUB 6.8868 2.6183 2.4397 2.7481 0.8990 4.4114 1.2772 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 5.4462 S1IDEEB 1.3346 -4.1879 S1EXCLB -0.3330 -4.7065 -0.1875 S1SCHFB 0.2034 -0.9342 -2.7594 4.5837 S1FIGUB 3.5695 2.2364 4.5941 2.4681 8.5031 Function value of this group: 57.0965 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 0.0011 0.0000 0.0059 0.0705 0.1289 0.0424 2 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 3 0.0059 0.0000 0.0303 0.3639 0.6647 0.2187 4 0.0705 0.0000 0.3639 4.3717 7.9853 2.6277 5 0.1289 0.0000 0.6647 7.9853 14.5859 4.7997 6 0.0424 0.0000 0.2187 2.6277 4.7997 1.5794 MATRIX C This is a computed FULL matrix of order 6 by 6 [=Y*Y'] 1 2 3 4 5 6 1 6.6915 7.1278 3.4888 3.4772 0.7548 5.7698 2 7.1278 7.5925 3.7163 3.7039 0.8040 6.1459 3 3.4888 3.7163 1.8190 1.8129 0.3935 3.0082 4 3.4772 3.7039 1.8129 1.8069 0.3922 2.9982 5 0.7548 0.8040 0.3935 0.3922 0.0851 0.6508 6 5.7698 6.1459 3.0082 2.9982 0.6508 4.9750 MATRIX E This is a computed FULL matrix of order 6 by 6 [=Z*Z'] 1 2 3 4 5 6 1 0.2352 0.6393 0.6004 0.3794 0.0661 0.0000 2 0.6393 1.7378 1.6321 1.0315 0.1796 0.0000 3 0.6004 1.6321 1.5327 0.9687 0.1687 0.0000 4 0.3794 1.0315 0.9687 0.6122 0.1066 0.0000 5 0.0661 0.1796 0.1687 0.1066 0.0186 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 5.3487 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.7941 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 7.5917 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 5.3842 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 1.2549 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 0.6541 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.6010 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 7.9352 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 5.9488 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 5.7038 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 5.3081 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 13.0168 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 10.0783 MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 1.1202 2 0.0000 0.8088 3 0.0000 0.0000 1.8976 4 0.0000 0.0000 0.0000 0.0001 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 0.0000 2 0.0000 2.3127 3 0.0000 0.0000 1.9478 4 0.0000 0.0000 0.0000 2.7553 5 0.0000 0.0000 0.0000 0.0000 0.0006 6 0.0000 0.0000 0.0000 0.0000 0.0000 2.3204 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 2.8170 2 0.0000 2.4390 3 0.0000 0.0000 2.3883 4 0.0000 0.0000 0.0000 2.3039 5 0.0000 0.0000 0.0000 0.0000 3.6079 6 0.0000 0.0000 0.0000 0.0000 0.0000 3.1746 MATRIX X This is a FULL matrix of order 6 by 1 EST_A VERBAL 0.0337 NAMES 0.0000 IDEAS 0.1740 EXCL 2.0908 DISCS 3.8191 FIGURES 1.2568 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 2.5868 NAMES 2.7554 IDEAS 1.3487 EXCL 1.3442 DISCS 0.2918 FIGURES 2.2305 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 0.4849 NAMES 1.3183 IDEAS 1.2380 EXCL 0.7824 DISCS 0.1363 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 16.1179 S1NAAMA 7.7671 21.2818 S1IDEEA 4.0951 5.3483 16.4809 S1EXCLA 3.9272 4.7354 3.1455 19.6905 S1SCHFA 0.9497 0.9836 1.2269 8.4841 27.7063 S1FIGUA 5.8122 6.1459 3.2270 5.6259 5.4506 22.0169 S1WRDB 7.9470 7.1278 3.4918 3.5125 0.8192 5.7910 16.1179 S1NAAMB 7.1278 10.9209 3.7163 3.7039 0.8040 6.1459 7.7671 S1IDEEB 3.4918 3.7163 7.3322 1.9949 0.7259 3.1176 4.0951 S1EXCLB 3.5125 3.7039 1.9949 7.7886 4.3848 4.3121 3.9272 S1SCHFB 0.8192 0.8040 0.7259 4.3848 7.3781 3.0507 0.9497 S1FIGUB 5.7910 6.1459 3.1176 4.3121 3.0507 8.4568 5.8122 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB 21.2818 S1IDEEB 5.3483 16.4809 S1EXCLB 4.7354 3.1455 19.6905 S1SCHFB 0.9836 1.2269 8.4841 27.7063 S1FIGUB 6.1459 3.2270 5.6259 5.4506 22.0169 RESIDUAL MATRIX S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1WRDA 1.7811 S1NAAMA -0.3972 -0.4948 S1IDEEA -0.8022 -1.4530 2.5171 S1EXCLA 0.2428 1.9141 -0.7070 -1.3305 S1SCHFA 1.9794 3.7318 4.0129 -3.7892 -2.4043 S1FIGUA -4.2541 0.5180 -0.3859 -4.1846 0.9364 -9.0679 S1WRDB -0.4847 -1.7745 -0.2714 2.9482 2.3369 -1.5147 -0.8789 S1NAAMB -5.0110 -1.4253 -0.2706 -3.1026 -2.4657 -1.0036 -3.7012 S1IDEEB -1.3761 -0.5325 -0.4850 -2.7357 1.7697 -3.9161 -4.3891 S1EXCLB -0.1963 0.1427 -2.3083 -2.1164 -1.0902 -2.0962 -0.7915 S1SCHFB 0.0689 -0.6467 2.0576 -3.6606 -3.7574 -2.6858 -1.4436 S1FIGUB -3.2545 0.9034 1.2301 1.6231 3.9266 -4.2215 1.8506 S1NAAMB S1IDEEB S1EXCLB S1SCHFB S1FIGUB S1WRDA S1NAAMA S1IDEEA S1EXCLA S1SCHFA S1FIGUA S1WRDB S1NAAMB -1.5878 S1IDEEB -0.7353 -3.6929 S1EXCLB -3.4375 -1.6510 -0.9175 S1SCHFB -3.4426 -1.0702 2.5359 -1.9943 S1FIGUB -1.2932 -1.0432 -0.6840 -1.5553 1.4851 Function value of this group: 59.1194 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 0.0011 0.0000 0.0059 0.0705 0.1289 0.0424 2 0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 3 0.0059 0.0000 0.0303 0.3639 0.6647 0.2187 4 0.0705 0.0000 0.3639 4.3717 7.9853 2.6277 5 0.1289 0.0000 0.6647 7.9853 14.5859 4.7997 6 0.0424 0.0000 0.2187 2.6277 4.7997 1.5794 MATRIX C This is a computed FULL matrix of order 6 by 6 [=Y*Y'] 1 2 3 4 5 6 1 6.6915 7.1278 3.4888 3.4772 0.7548 5.7698 2 7.1278 7.5925 3.7163 3.7039 0.8040 6.1459 3 3.4888 3.7163 1.8190 1.8129 0.3935 3.0082 4 3.4772 3.7039 1.8129 1.8069 0.3922 2.9982 5 0.7548 0.8040 0.3935 0.3922 0.0851 0.6508 6 5.7698 6.1459 3.0082 2.9982 0.6508 4.9750 MATRIX E This is a computed FULL matrix of order 6 by 6 [=Z*Z'] 1 2 3 4 5 6 1 0.2352 0.6393 0.6004 0.3794 0.0661 0.0000 2 0.6393 1.7378 1.6321 1.0315 0.1796 0.0000 3 0.6004 1.6321 1.5327 0.9687 0.1687 0.0000 4 0.3794 1.0315 0.9687 0.6122 0.1066 0.0000 5 0.0661 0.1796 0.1687 0.1066 0.0186 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 5.3487 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.7941 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 7.5917 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 5.3842 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 1.2549 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 0.6541 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 3.6010 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 7.9352 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 5.9488 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 5.7038 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 5.3081 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 13.0168 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 10.0783 MATRIX P This is a computed FULL matrix of order 18 by 1 [=S*X_S*Y_S*Z] 1 A1 0.0084 A2 0.0000 A3 0.0429 A4 0.4712 A5 0.7256 A6 0.2678 C1 0.6443 C2 0.5973 C3 0.3322 C4 0.3029 C5 0.0554 C6 0.4754 E1 0.1208 E2 0.2858 E3 0.3050 E4 0.1763 E5 0.0259 E6 0.0000 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 0.2790 0.0000 0.0000 0.0000 0.0000 0.0000 AS2 0.0000 0.1753 0.0000 0.0000 0.0000 0.0000 AS3 0.0000 0.0000 0.4674 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 0.5013 0.0000 0.0000 0.0000 0.0000 CS3 0.0000 0.0000 0.4798 0.0000 0.0000 0.0000 CS4 0.0000 0.0000 0.0000 0.6209 0.0000 0.0000 CS5 0.0000 0.0000 0.0000 0.0000 0.0001 0.0000 CS6 0.0000 0.0000 0.0000 0.0000 0.0000 0.4945 ES1 0.7017 0.0000 0.0000 0.0000 0.0000 0.0000 ES2 0.0000 0.5287 0.0000 0.0000 0.0000 0.0000 ES3 0.0000 0.0000 0.5883 0.0000 0.0000 0.0000 ES4 0.0000 0.0000 0.0000 0.5192 0.0000 0.0000 ES5 0.0000 0.0000 0.0000 0.0000 0.6854 0.0000 ES6 0.0000 0.0000 0.0000 0.0000 0.0000 0.6766 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 16.1179 7.7671 4.0951 3.9272 0.9497 5.8122 2 7.7671 21.2818 5.3483 4.7354 0.9836 6.1459 3 4.0951 5.3483 16.4809 3.1455 1.2269 3.2270 4 3.9272 4.7354 3.1455 19.6905 8.4841 5.6259 5 0.9497 0.9836 1.2269 8.4841 27.7063 5.4506 6 5.8122 6.1459 3.2270 5.6259 5.4506 22.0169 MATRIX S This is a computed FULL matrix of order 6 by 6 [=(\SQRT(I.R))~] 1 2 3 4 5 6 1 0.2491 0.0000 0.0000 0.0000 0.0000 0.0000 2 0.0000 0.2168 0.0000 0.0000 0.0000 0.0000 3 0.0000 0.0000 0.2463 0.0000 0.0000 0.0000 4 0.0000 0.0000 0.0000 0.2254 0.0000 0.0000 5 0.0000 0.0000 0.0000 0.0000 0.1900 0.0000 6 0.0000 0.0000 0.0000 0.0000 0.0000 0.2131 MATRIX T This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 1.1202 2 0.0000 0.8088 3 0.0000 0.0000 1.8976 4 0.0000 0.0000 0.0000 0.0001 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 0.0000 2 0.0000 2.3127 3 0.0000 0.0000 1.9478 4 0.0000 0.0000 0.0000 2.7553 5 0.0000 0.0000 0.0000 0.0000 0.0006 6 0.0000 0.0000 0.0000 0.0000 0.0000 2.3204 MATRIX V This is a DIAGONAL matrix of order 6 by 6 1 2 3 4 5 6 1 2.8170 2 0.0000 2.4390 3 0.0000 0.0000 2.3883 4 0.0000 0.0000 0.0000 2.3039 5 0.0000 0.0000 0.0000 0.0000 3.6079 6 0.0000 0.0000 0.0000 0.0000 0.0000 3.1746 MATRIX X This is a FULL matrix of order 6 by 1 EST_A VERBAL 0.0337 NAMES 0.0000 IDEAS 0.1740 EXCL 2.0908 DISCS 3.8191 FIGURES 1.2568 MATRIX Y This is a FULL matrix of order 6 by 1 EST_C VERBAL 2.5868 NAMES 2.7554 IDEAS 1.3487 EXCL 1.3442 DISCS 0.2918 FIGURES 2.2305 MATRIX Z This is a FULL matrix of order 6 by 1 EST_E VERBAL 0.4849 NAMES 1.3183 IDEAS 1.2380 EXCL 0.7824 DISCS 0.1363 FIGURES 0.0000 Your model has 36 estimated parameters and 156 Observed statistics Chi-squared fit of model >>>>>>> 116.216 Degrees of freedom >>>>>>>>>>>>> 120 Probability >>>>>>>>>>>>>>>>>>>> 0.581 Akaike's Information Criterion > -123.784 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>> 0.000 This problem used 3.1% of my workspace Task Time elapsed (DD:HH:MM:SS) Reading script & data 0: 0: 0: 0.11 Execution 0: 0: 0:10.22 TOTAL 0: 0: 0:10.33 Total number of warnings issued: 0 ______________________________________________________________________________