! My first Mx Model ! Univariate example testing ADE/ACE model ! Dutch 3 year old Males - Externalizing problems from CBCL ! ! A - additive genetic variance (VA or a^2) ! C - shared environmental variance (VC or c^2) ! E - unique environmental variance (VE or e^2) ! D - dominance genetic variance (VD or d^2) ! ! Phenotypic variance = A + C + E + D ! MZ covariance = A + C + D ! DZ covariance = 0.5 A + C + 0.25 D ! ! Path Coefficients Model ! ! Group 1 calculates variance components for females ! Group 2 fits model to MZ female data ! Group 3 fits model to DZ female data The following MX script lines were read for group 1 #DEFINE NVAR 1 ! Mx replaces every occurrence of nvar with 1 #NGROUP 3 Note: #NGroup set number of groups to 3 TITLE GROUP 1: PARAMETERS OF MODEL CALCULATION BEGIN MATRICES; X FULL NVAR NVAR FREE ! A: ADDITIVE GENETIC PARAMETER Y FULL NVAR NVAR FREE ! C: SHARED ENVIRONMENTAL PARAMETER Z FULL NVAR NVAR FREE ! E: UNIQUE ENVIRONMENTAL PARAMETER W FULL NVAR NVAR ! D: DOMINANCE PARAMETER H FULL 1 1 ! SCALAR, .5 Q FULL 1 1 ! SCALAR, .25 END MATRICES; MATRIX H .5 MATRIX Q .25 START .1 ALL BEGIN ALGEBRA; A=X*X'; ! A^2: ADDITIVE GENETIC VARIANCE C=Y*Y'; ! C^2: SHARED ENVIRONMENTAL VARIANCE E=Z*Z'; ! E^2: UNIQUE ENVIRONMENTAL VARIANCE D=W*W'; ! D^2: DOMINANCE VARIANCE V=A+C+E+D; ! TOTAL VARIANCE P=A|C|E|D; ! PUT PARAMETER ESTIMATES IN ONE MATRIX ! the | operator concatenates matrices with same number of rows S=P@V~; ! STANDARDIZED PARAMETER ESTIMATES ! the @ kronecker product multiplies every element of the first matrix ! with the second matrix, ~ takes the inverse a matrix END ALGEBRA; LABELS ROW X PAREST_A LABELS ROW Y PAREST_C LABELS ROW Z PAREST_E LABELS ROW W PAREST_D LABELS ROW A A^2 LABELS ROW C C^2 LABELS ROW E E^2 LABELS ROW D D^2 LABELS ROW V VARIANCE LABELS ROW P ESTIMATE LABELS COL P A C E D LABELS ROW S STANDEST LABELS COL S A^2 C^2 E^2 D^2 END The following MX script lines were read for group 2 TITLE G2: MALE MZ TWIN PAIRS Note: Opening #include file 1 extmzf.dat DATA NINPUTVARS=2 NOBSERVATIONS=1162 LABELS EXT3T1 EXT3T2 CMATRIX FILE=EXTMZF.COV Note: Closing #include file 1 MATRICES = GROUP 1 COVARIANCES A+C+E+D | A+C+D _ A+C+D | A+C+E+D ; ! the _ operator concatenates matrices with same number of columns OPTION RSIDUALS ! PRINTS OBSERVED, EXPECTED & RESIDUAL MATRIX END The following MX script lines were read for group 3 TITLE G3: MALE DZ TWIN PAIRS Note: Opening #include file 1 extdzf.dat DATA NINPUTVARS=2 NOBSERVATIONS=968 LABELS EXT3T1 EXT3T2 CMATRIX FILE=EXTDZF.COV Note: Closing #include file 1 MATRICES= GROUP 1 COVARIANCES A+C+E+D | H@A+C+Q@D _ H@A+C+Q@D | A+C+E+D ; OPTION RSIDUALS OPTION NDECIMALS=4 OPTION MULTIPLE ISSAT END PARAMETER SPECIFICATIONS GROUP NUMBER: 1 Title Group 1: parameters of model 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 D 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 H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX Q This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 1 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 2 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 3 GROUP NUMBER: 2 Title G2: male MZ twin pairs 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 D 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 H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX Q This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 1 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 2 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 3 GROUP NUMBER: 3 Title G3: male DZ twin pairs 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 D 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 H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX Q This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 1 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 2 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 3 Mx starting optimization; number of parameters = 3 MX PARAMETER ESTIMATES GROUP NUMBER: 1 Title Group 1: parameters of model MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 A^2 51.9690 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 27.4868 MATRIX D This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 D^2 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 E^2 21.5669 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX P This is a computed FULL matrix of order 1 by 4 [=A|C|E|D] A C E D ESTIMATE 51.9690 27.4868 21.5669 0.0000 MATRIX Q This is a FULL matrix of order 1 by 1 1 1 0.2500 MATRIX S This is a computed FULL matrix of order 1 by 4 [=P@V~] A^2 C^2 E^2 D^2 STANDEST 0.5144 0.2721 0.2135 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 101.0228 MATRIX W This is a FULL matrix of order 1 by 1 1 PAREST_D 0.0000 MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 7.2090 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 5.2428 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 4.6440 GROUP NUMBER: 2 Title G2: male MZ twin pairs MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 A^2 51.9690 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 27.4868 MATRIX D This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 D^2 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 E^2 21.5669 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX P This is a computed FULL matrix of order 1 by 4 [=A|C|E|D] A C E D ESTIMATE 51.9690 27.4868 21.5669 0.0000 MATRIX Q This is a FULL matrix of order 1 by 1 1 1 0.2500 MATRIX S This is a computed FULL matrix of order 1 by 4 [=P@V~] A^2 C^2 E^2 D^2 STANDEST 0.5144 0.2721 0.2135 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 101.0228 MATRIX W This is a FULL matrix of order 1 by 1 1 PAREST_D 0.0000 MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 7.2090 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 5.2428 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 4.6440 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 99.2650 EXT3T2 81.1320 106.2300 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 101.0228 EXT3T2 79.4558 101.0228 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 -1.7578 EXT3T2 1.6762 5.2072 Function value of this group: 3.7545 Where the fit function is Maximum Likelihood GROUP NUMBER: 3 Title G3: male DZ twin pairs MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 A^2 51.9690 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 27.4868 MATRIX D This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 D^2 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 E^2 21.5669 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX P This is a computed FULL matrix of order 1 by 4 [=A|C|E|D] A C E D ESTIMATE 51.9690 27.4868 21.5669 0.0000 MATRIX Q This is a FULL matrix of order 1 by 1 1 1 0.2500 MATRIX S This is a computed FULL matrix of order 1 by 4 [=P@V~] A^2 C^2 E^2 D^2 STANDEST 0.5144 0.2721 0.2135 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 101.0228 MATRIX W This is a FULL matrix of order 1 by 1 1 PAREST_D 0.0000 MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 7.2090 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 5.2428 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 4.6440 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 99.8430 EXT3T2 52.1170 98.9270 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 101.0228 EXT3T2 53.4713 101.0228 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 -1.1798 EXT3T2 -1.3543 -2.0958 Function value of this group: 0.2293 Where the fit function is Maximum Likelihood Your model has 3 estimated parameters and 6 Observed statistics Chi-squared fit of model >>>>>>> 3.984 Degrees of freedom >>>>>>>>>>>>> 3 Probability >>>>>>>>>>>>>>>>>>>> 0.263 Akaike's Information Criterion > -2.016 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>> 0.018 This problem used 0.5% of my workspace Task Time elapsed (DD:HH:MM:SS) Reading script & data 0: 0: 0: 0.00 Execution 0: 0: 0: 0.06 TOTAL 0: 0: 0: 0.06 Total number of warnings issued: 0 ______________________________________________________________________________ Multiple fit option in effect. The following MX script lines have been read: SAVE EXT3MACE.MXS ! Test significance of additive genetic variance DROP @0 X 1 1 1 END PARAMETER SPECIFICATIONS GROUP NUMBER: 1 Title Group 1: parameters of model 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 D 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 H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX Q This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX X This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 2 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 3 GROUP NUMBER: 2 Title G2: male MZ twin pairs 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 D 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 H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX Q This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX X This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 2 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 3 GROUP NUMBER: 3 Title G3: male DZ twin pairs 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 D 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 H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX Q This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX X This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 2 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 3 Mx starting optimization; number of parameters = 2 MX PARAMETER ESTIMATES GROUP NUMBER: 1 Title Group 1: parameters of model MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 A^2 0.0000 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 67.9471 MATRIX D This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 D^2 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 E^2 33.2724 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX P This is a computed FULL matrix of order 1 by 4 [=A|C|E|D] A C E D ESTIMATE 0.0000 67.9471 33.2724 0.0000 MATRIX Q This is a FULL matrix of order 1 by 1 1 1 0.2500 MATRIX S This is a computed FULL matrix of order 1 by 4 [=P@V~] A^2 C^2 E^2 D^2 STANDEST 0.0000 0.6713 0.3287 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 101.2195 MATRIX W This is a FULL matrix of order 1 by 1 1 PAREST_D 0.0000 MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 0.0000 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 8.2430 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 5.7682 GROUP NUMBER: 2 Title G2: male MZ twin pairs MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 A^2 0.0000 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 67.9471 MATRIX D This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 D^2 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 E^2 33.2724 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX P This is a computed FULL matrix of order 1 by 4 [=A|C|E|D] A C E D ESTIMATE 0.0000 67.9471 33.2724 0.0000 MATRIX Q This is a FULL matrix of order 1 by 1 1 1 0.2500 MATRIX S This is a computed FULL matrix of order 1 by 4 [=P@V~] A^2 C^2 E^2 D^2 STANDEST 0.0000 0.6713 0.3287 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 101.2195 MATRIX W This is a FULL matrix of order 1 by 1 1 PAREST_D 0.0000 MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 0.0000 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 8.2430 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 5.7682 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 99.2650 EXT3T2 81.1320 106.2300 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 101.2195 EXT3T2 67.9471 101.2195 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 -1.9545 EXT3T2 13.1849 5.0105 Function value of this group: 101.7068 Where the fit function is Maximum Likelihood GROUP NUMBER: 3 Title G3: male DZ twin pairs MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 A^2 0.0000 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 67.9471 MATRIX D This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 D^2 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 E^2 33.2724 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX P This is a computed FULL matrix of order 1 by 4 [=A|C|E|D] A C E D ESTIMATE 0.0000 67.9471 33.2724 0.0000 MATRIX Q This is a FULL matrix of order 1 by 1 1 1 0.2500 MATRIX S This is a computed FULL matrix of order 1 by 4 [=P@V~] A^2 C^2 E^2 D^2 STANDEST 0.0000 0.6713 0.3287 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 101.2195 MATRIX W This is a FULL matrix of order 1 by 1 1 PAREST_D 0.0000 MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 0.0000 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 8.2430 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 5.7682 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 99.8430 EXT3T2 52.1170 98.9270 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 101.2195 EXT3T2 67.9471 101.2195 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 -1.3765 EXT3T2 -15.8301 -2.2925 Function value of this group: 72.9353 Where the fit function is Maximum Likelihood Your model has 2 estimated parameters and 6 Observed statistics Chi-squared fit of model >>>>>>> 174.642 Degrees of freedom >>>>>>>>>>>>> 4 Probability >>>>>>>>>>>>>>>>>>>> 0.000 Akaike's Information Criterion > 166.642 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>> 0.199 Saturated model fit* >>>>>>>>>>> 3.984 Saturated model df* >>>>>>>>>>> 3 Difference Chi-squared >>>>>>>> 170.658 Difference d.f. >>>>>>>>>>>>>>> 1 Probability >>>>>>>>>>>>>>>>>>>> 0.000 Akaike's Information Criterion > 168.658 * Saturated model statistic computed earlier in this job This problem used 0.5% of my workspace Task Time elapsed (DD:HH:MM:SS) Reading script & data 0: 0: 0: 0.00 Execution 0: 0: 0: 0.05 TOTAL 0: 0: 0: 0.05 Total number of warnings issued: 0 ______________________________________________________________________________ ! Test significance of shared environmental variance Multiple fit option in effect. The following MX script lines have been read: GET EXT3MACE.MXS Note: 1351 binary records read DROP Y 1 1 1 END PARAMETER SPECIFICATIONS GROUP NUMBER: 1 Title Group 1: parameters of model 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 D 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 H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX Q This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 1 MATRIX Y This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 3 GROUP NUMBER: 2 Title G2: male MZ twin pairs 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 D 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 H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX Q This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 1 MATRIX Y This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 3 GROUP NUMBER: 3 Title G3: male DZ twin pairs 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 D 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 H This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX P This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX Q This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX S This is a computed FULL matrix of order 1 by 4 It has no free parameters specified MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 1 MATRIX Y This is a FULL matrix of order 1 by 1 It has no free parameters specified MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 3 Mx starting optimization; number of parameters = 2 MX PARAMETER ESTIMATES GROUP NUMBER: 1 Title Group 1: parameters of model MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 A^2 77.6785 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 0.0000 MATRIX D This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 D^2 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 E^2 20.7500 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX P This is a computed FULL matrix of order 1 by 4 [=A|C|E|D] A C E D ESTIMATE 77.6785 0.0000 20.7500 0.0000 MATRIX Q This is a FULL matrix of order 1 by 1 1 1 0.2500 MATRIX S This is a computed FULL matrix of order 1 by 4 [=P@V~] A^2 C^2 E^2 D^2 STANDEST 0.7892 0.0000 0.2108 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 98.4284 MATRIX W This is a FULL matrix of order 1 by 1 1 PAREST_D 0.0000 MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 8.8135 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 0.0000 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 4.5552 GROUP NUMBER: 2 Title G2: male MZ twin pairs MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 A^2 77.6785 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 0.0000 MATRIX D This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 D^2 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 E^2 20.7500 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX P This is a computed FULL matrix of order 1 by 4 [=A|C|E|D] A C E D ESTIMATE 77.6785 0.0000 20.7500 0.0000 MATRIX Q This is a FULL matrix of order 1 by 1 1 1 0.2500 MATRIX S This is a computed FULL matrix of order 1 by 4 [=P@V~] A^2 C^2 E^2 D^2 STANDEST 0.7892 0.0000 0.2108 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 98.4284 MATRIX W This is a FULL matrix of order 1 by 1 1 PAREST_D 0.0000 MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 8.8135 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 0.0000 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 4.5552 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 99.2650 EXT3T2 81.1320 106.2300 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 98.4284 EXT3T2 77.6785 98.4284 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 0.8366 EXT3T2 3.4535 7.8016 Function value of this group: 5.6294 Where the fit function is Maximum Likelihood GROUP NUMBER: 3 Title G3: male DZ twin pairs MATRIX A This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 A^2 77.6785 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 0.0000 MATRIX D This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 D^2 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 E^2 20.7500 MATRIX H This is a FULL matrix of order 1 by 1 1 1 0.5000 MATRIX P This is a computed FULL matrix of order 1 by 4 [=A|C|E|D] A C E D ESTIMATE 77.6785 0.0000 20.7500 0.0000 MATRIX Q This is a FULL matrix of order 1 by 1 1 1 0.2500 MATRIX S This is a computed FULL matrix of order 1 by 4 [=P@V~] A^2 C^2 E^2 D^2 STANDEST 0.7892 0.0000 0.2108 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 98.4284 MATRIX W This is a FULL matrix of order 1 by 1 1 PAREST_D 0.0000 MATRIX X This is a FULL matrix of order 1 by 1 1 PAREST_A 8.8135 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 0.0000 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 4.5552 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 99.8430 EXT3T2 52.1170 98.9270 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 98.4284 EXT3T2 38.8392 98.4284 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 1.4146 EXT3T2 13.2778 0.4986 Function value of this group: 28.9449 Where the fit function is Maximum Likelihood Your model has 2 estimated parameters and 6 Observed statistics Chi-squared fit of model >>>>>>> 34.574 Degrees of freedom >>>>>>>>>>>>> 4 Probability >>>>>>>>>>>>>>>>>>>> 0.000 Akaike's Information Criterion > 26.574 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>> 0.079 Saturated model fit* >>>>>>>>>>> 3.984 Saturated model df* >>>>>>>>>>> 3 Difference Chi-squared >>>>>>>> 30.590 Difference d.f. >>>>>>>>>>>>>>> 1 Probability >>>>>>>>>>>>>>>>>>>> 0.000 Akaike's Information Criterion > 28.590 * Saturated model statistic computed earlier in this job This problem used 0.5% of my workspace Task Time elapsed (DD:HH:MM:SS) Reading script & data 0: 0: 0: 0.06 Execution 0: 0: 0: 0.21 TOTAL 0: 0: 0: 0.27 Total number of warnings issued: 0 ______________________________________________________________________________