! 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 extmzm.dat DATA NINPUTVARS=2 NOBSERVATIONS=1029 LABELS EXT3T1 EXT3T2 CMATRIX FILE=EXTMZM.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 extdzm.dat DATA NINPUT=2 NOBSERVATION=1024 LABELS EXT3T1 EXT3T2 CMATRIX FILE=EXTDZM.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 52.9935 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 29.9932 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 22.1802 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 52.9935 29.9932 22.1802 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 0.5039 0.2852 0.2109 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 105.1669 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 7.2797 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 5.4766 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 4.7096 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 52.9935 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 29.9932 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 22.1802 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 52.9935 29.9932 22.1802 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 0.5039 0.2852 0.2109 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 105.1669 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 7.2797 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 5.4766 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 4.7096 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 110.4300 EXT3T2 87.3080 108.7900 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 105.1669 EXT3T2 82.9867 105.1669 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 5.2631 EXT3T2 4.3213 3.6231 Function value of this group: 1.2547 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 52.9935 MATRIX C This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 C^2 29.9932 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 22.1802 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 52.9935 29.9932 22.1802 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 0.5039 0.2852 0.2109 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 105.1669 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 7.2797 MATRIX Y This is a FULL matrix of order 1 by 1 1 PAREST_C 5.4766 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 4.7096 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 97.9530 EXT3T2 53.5340 105.2900 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 105.1669 EXT3T2 56.4899 105.1669 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 -7.2139 EXT3T2 -2.9559 0.1231 Function value of this group: 2.7727 Where the fit function is Maximum Likelihood Your model has 3 estimated parameters and 6 Observed statistics Chi-squared fit of model >>>>>>> 4.027 Degrees of freedom >>>>>>>>>>>>> 3 Probability >>>>>>>>>>>>>>>>>>>> 0.259 Akaike's Information Criterion > -1.973 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>> 0.014 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: 0.17 TOTAL 0: 0: 0: 0.17 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 70.4622 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 35.1633 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 70.4622 35.1633 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 0.6671 0.3329 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 105.6255 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 8.3942 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 5.9299 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 70.4622 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 35.1633 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 70.4622 35.1633 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 0.6671 0.3329 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 105.6255 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 8.3942 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 5.9299 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 110.4300 EXT3T2 87.3080 108.7900 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 105.6255 EXT3T2 70.4622 105.6255 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 4.8045 EXT3T2 16.8458 3.1645 Function value of this group: 98.9044 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 70.4622 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 35.1633 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 70.4622 35.1633 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 0.6671 0.3329 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 105.6255 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 8.3942 MATRIX Z This is a FULL matrix of order 1 by 1 1 PAREST_E 5.9299 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 97.9530 EXT3T2 53.5340 105.2900 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 105.6255 EXT3T2 70.4622 105.6255 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 -7.6725 EXT3T2 -16.9282 -0.3355 Function value of this group: 65.4867 Where the fit function is Maximum Likelihood Your model has 2 estimated parameters and 6 Observed statistics Chi-squared fit of model >>>>>>> 164.391 Degrees of freedom >>>>>>>>>>>>> 4 Probability >>>>>>>>>>>>>>>>>>>> 0.000 Akaike's Information Criterion > 156.391 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>> 0.197 Saturated model fit* >>>>>>>>>>> 4.027 Saturated model df* >>>>>>>>>>> 3 Difference Chi-squared >>>>>>>> 160.364 Difference d.f. >>>>>>>>>>>>>>> 1 Probability >>>>>>>>>>>>>>>>>>>> 0.000 Akaike's Information Criterion > 158.364 * 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: 0.00 TOTAL 0: 0: 0: 0.00 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 80.8553 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 21.1793 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 80.8553 0.0000 21.1793 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 0.7924 0.0000 0.2076 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 102.0346 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 8.9920 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 4.6021 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 80.8553 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 21.1793 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 80.8553 0.0000 21.1793 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 0.7924 0.0000 0.2076 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 102.0346 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 8.9920 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 4.6021 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 110.4300 EXT3T2 87.3080 108.7900 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 102.0346 EXT3T2 80.8553 102.0346 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 8.3954 EXT3T2 6.4527 6.7554 Function value of this group: 4.4305 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 80.8553 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 21.1793 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 80.8553 0.0000 21.1793 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 0.7924 0.0000 0.2076 0.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+E+D] 1 VARIANCE 102.0346 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 8.9920 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 4.6021 OBSERVED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 97.9530 EXT3T2 53.5340 105.2900 EXPECTED COVARIANCE MATRIX EXT3T1 EXT3T2 EXT3T1 102.0346 EXT3T2 40.4277 102.0346 RESIDUAL MATRIX EXT3T1 EXT3T2 EXT3T1 -4.0816 EXT3T2 13.1063 3.2554 Function value of this group: 34.6379 Where the fit function is Maximum Likelihood Your model has 2 estimated parameters and 6 Observed statistics Chi-squared fit of model >>>>>>> 39.068 Degrees of freedom >>>>>>>>>>>>> 4 Probability >>>>>>>>>>>>>>>>>>>> 0.000 Akaike's Information Criterion > 31.068 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>> 0.080 Saturated model fit* >>>>>>>>>>> 4.027 Saturated model df* >>>>>>>>>>> 3 Difference Chi-squared >>>>>>>> 35.041 Difference d.f. >>>>>>>>>>>>>>> 1 Probability >>>>>>>>>>>>>>>>>>>> 0.000 Akaike's Information Criterion > 33.041 * 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 ______________________________________________________________________________