! univariate.mx ! fitting a univariate genetic model to 2x2 data The following MX script lines were read for group 1 #DEFINE NVAR 1 #DEFINE MAXTHRESF 1 ! NUMBER OF THRESHOLDS ANALYSIS OF DEPRESSION DATA: ESTIMATING TETRACHORICS & CONFIDENCE INTERVALS DATA NI=3 NO=2 NG=3 LABELS TWINA TWINB COUNTMZ ORDINAL FI=DEPMZF.REC Ordinal data read initiated NOTE: Rectangular file contained 4 records with data that contained a total of 12 observations ! Count is a definition variable that we use to tell MX the frequency count ! for each element of the 2x2 table ! DEFINITION_VARIABLES COUNTMZ / NOTE: Definition yields 4 data vectors for analysis NOTE: Vectors contain a total of 8 observations BEGIN MATRICES; W LO NVAR NVAR FR ! ADDITIVE GENETIC PATH (A=W*W') X LO NVAR NVAR FR ! SHARED ENVIRONMENTAL PATH (C=X*X') Y LO NVAR NVAR FR ! NON-SHARED ENVIRONMENTAL PATH (E=Y*Y') Z LO NVAR NVAR FI ! NON-ADDITIVE GENETIC PATH (D=Z*Z') M FU MAXTHRESF NVAR FI ! MATRIX OF THRESHOLDS S DI NVAR NVAR ! MATRIX THAT WILL STORE WEIGHT VARIABLE END MATRICES; SP M 4 MATRIX M 1.5487 ! This tells MX to store the definition variable count in S SP S -1 MAT W 0.5 MAT X 0.5 MAT Y 0.7 BEGIN ALGEBRA; A=W*W'; C=X*X'; E=Y*Y'; D=Z*Z'; V=A+C+D+E; END ALGEBRA; FREQ S; ! TELLS MX THAT S CONTAINS THE WEIGHT (FREQUENCY) VARIABLE TH M|M; ! TELLS MX THAT ROW AND COLUMN THRESHOLDS CONTAINED IN M_M CO V|A+D+C_ A'+D'+C'|V; ! FORMULA FOR CORRELATION MATRIX! BO 0.001 1.0 Y(1,1) BO 0.0001 0.999 W(1,1) X(1,1) BO -5.0 5.0 M(1,1) INTERVAL A(1,1) C(1,1) E(1,1) ! COMPUTE 95% CONFIDENCE INTERVAL FOR CORRELATION OPT FUNC=1.E-12 OPT RS END The following MX script lines were read for group 2 ANALYSIS OF ORDINAL ALCOHOL TOLERANCE AND DEPENDENCE DATA: DZM DATA NI=3 NO=4 LABELS TWINA TWINB COUNTDZ OR FI=DEPDZF.REC Ordinal data read initiated NOTE: Rectangular file contained 4 records with data that contained a total of 12 observations DEFINITION_VARIABLES COUNTDZ / NOTE: Definition yields 4 data vectors for analysis NOTE: Vectors contain a total of 8 observations BEGIN MATRICES = GROUP 1; S DI NVAR NVAR ! MATRIX THAT WILL STORE WEIGHT VARIABLE *** WARNING! *** Matrix was previously defined for this group. Mx will redefine G DI 1 1 ! CONSTANT (=0.5) FOR COEFFICIENT OF ADDITIVE GENETIC COMPONENT H DI 1 1 ! CONSTANT (=0.25) FOR COEFFICIENT OF DOMINANCE GENETIC COMPONENT N FU MAXTHRESF NVAR FI ! MATRIX OF THRESHOLDS END MATRICES; SP N 5 MATRIX N 1.4487 MAT G 0.5 MAT H 0.25 SP S -1 FREQ S; TH N|N; CO V|G@A+H@D+C_ G@A'+H@D'+C'|V; ! FORMULA FOR CORRELATION MATRIX! BO -5.0 5.0 N(1,1) OPT RS END The following MX script lines were read for group 3 CONSTRAINT FUNCTION - CONSTRAIN VARIANCES TO UNITY FOR MZ GROUP CO NI=1 BEGIN MATRICES = GROUP 1; U UNIT 1 NVAR END MATRICES; CO \D2V(V) = U; END Summary of VL file data for group 1 COUNTMZ TWINA TWINB Code -1.0000E+00 1.0000E+00 2.0000E+00 Number 4.0000E+00 4.0000E+00 4.0000E+00 Mean 1.4750E+02 5.0000E-01 5.0000E-01 Variance 1.1005E+04 2.5000E-01 2.5000E-01 Minimum 8.3000E+01 0.0000E+00 0.0000E+00 Maximum 3.2900E+02 1.0000E+00 1.0000E+00 Summary of VL file data for group 2 COUNTDZ TWINA TWINB Code -1.0000 1.0000 2.0000 Number 4.0000 4.0000 4.0000 Mean 110.0000 0.5000 0.5000 Variance 2882.5000 0.2500 0.2500 Minimum 63.0000 0.0000 0.0000 Maximum 201.0000 1.0000 1.0000 PARAMETER SPECIFICATIONS GROUP NUMBER: 1 Analysis of depression data: estimating tetrachorics & confidence intervals 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 M This is a FULL matrix of order 1 by 1 1 1 4 MATRIX S This is a DIAGONAL matrix of order 1 by 1 1 1 -1 MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 1 MATRIX X This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 2 MATRIX Y This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 3 MATRIX Z This is a LOWER TRIANGULAR matrix of order 1 by 1 It has no free parameters specified GROUP NUMBER: 2 Analysis of ordinal alcohol tolerance and dependence data: DZm 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 G This is a DIAGONAL matrix of order 1 by 1 It has no free parameters specified MATRIX H This is a DIAGONAL matrix of order 1 by 1 It has no free parameters specified MATRIX M This is a FULL matrix of order 1 by 1 1 1 4 MATRIX N This is a FULL matrix of order 1 by 1 1 1 5 MATRIX S This is a DIAGONAL matrix of order 1 by 1 1 1 -1 MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 1 MATRIX X This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 2 MATRIX Y This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 3 MATRIX Z This is a LOWER TRIANGULAR matrix of order 1 by 1 It has no free parameters specified GROUP NUMBER: 3 Constraint function - constrain variances to unity for MZ group 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 M This is a FULL matrix of order 1 by 1 1 1 4 MATRIX S This is a DIAGONAL matrix of order 1 by 1 1 1 -1 MATRIX U This is a UNIT matrix of order 1 by 1 MATRIX V This is a computed FULL matrix of order 1 by 1 It has no free parameters specified MATRIX W This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 1 MATRIX X This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 2 MATRIX Y This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 3 MATRIX Z This is a LOWER TRIANGULAR matrix of order 1 by 1 It has no free parameters specified Mx starting optimization; number of parameters = 5 MX PARAMETER ESTIMATES GROUP NUMBER: 1 Analysis of depression data: estimating tetrachorics & confidence intervals MATRIX A This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 1 0.4250 MATRIX C This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 1 1.0000E-08 MATRIX D This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 1 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 1 0.5750 MATRIX M This is a FULL matrix of order 1 by 1 1 1 0.5493 MATRIX S This is a DIAGONAL matrix of order 1 by 1 1 1 83.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+D+E] 1 1 1.0000 MATRIX W This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 0.6519 MATRIX X This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 1.0000E-04 MATRIX Y This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 0.7583 MATRIX Z This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 0.0000 Matrix of EXPECTED thresholds TWINA TWINB Threshold 1 0.5493 0.5493 EXPECTED COVARIANCE MATRIX TWINA TWINB TWINA 1.0000 TWINB 0.4250 1.0000 Function value of this group: 1383.2782 Where the fit function is -2 * Log-likelihood of raw ordinal GROUP NUMBER: 2 Analysis of ordinal alcohol tolerance and dependence data: DZm MATRIX A This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 1 0.4250 MATRIX C This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 1 1.0000E-08 MATRIX D This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 1 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 1 0.5750 MATRIX G This is a DIAGONAL matrix of order 1 by 1 1 1 0.5000 MATRIX H This is a DIAGONAL matrix of order 1 by 1 1 1 0.2500 MATRIX M This is a FULL matrix of order 1 by 1 1 1 0.5493 MATRIX N This is a FULL matrix of order 1 by 1 1 1 0.4034 MATRIX S This is a DIAGONAL matrix of order 1 by 1 1 1 63.0000 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+D+E] 1 1 1.0000 MATRIX W This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 0.6519 MATRIX X This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 1.0000E-04 MATRIX Y This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 0.7583 MATRIX Z This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 0.0000 Matrix of EXPECTED thresholds TWINA TWINB Threshold 1 0.4034 0.4034 EXPECTED COVARIANCE MATRIX TWINA TWINB TWINA 1.0000 TWINB 0.2125 1.0000 Function value of this group: 1126.5097 Where the fit function is -2 * Log-likelihood of raw ordinal GROUP NUMBER: 3 Constraint function - constrain variances to unity for MZ group MATRIX A This is a computed FULL matrix of order 1 by 1 [=W*W'] 1 1 0.4250 MATRIX C This is a computed FULL matrix of order 1 by 1 [=X*X'] 1 1 1.0000E-08 MATRIX D This is a computed FULL matrix of order 1 by 1 [=Z*Z'] 1 1 0.0000 MATRIX E This is a computed FULL matrix of order 1 by 1 [=Y*Y'] 1 1 0.5750 MATRIX M This is a FULL matrix of order 1 by 1 1 1 0.5493 MATRIX S This is a DIAGONAL matrix of order 1 by 1 1 1 83.0000 MATRIX U This is a UNIT matrix of order 1 by 1 MATRIX V This is a computed FULL matrix of order 1 by 1 [=A+C+D+E] 1 1 1.0000 MATRIX W This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 0.6519 MATRIX X This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 1.0000E-04 MATRIX Y This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 0.7583 MATRIX Z This is a LOWER TRIANGULAR matrix of order 1 by 1 1 1 0.0000 Your model has 5 estimated parameters and 17 Observed statistics Observed statistics include 1 constraints. -2 times log-likelihood of data >>> 2509.788 Degrees of freedom >>>>>>>>>>>>>>>> 12 3 Confidence intervals requested in group 1 Matrix Element Int. Estimate Lower Upper Lfail Ufail A 1 1 1 95.0 0.4250 0.1045 0.5325 0 0 0 0 C 1 1 1 95.0 0.0000 0.0000 0.2609 0 1 0 1 E 1 1 1 95.0 0.5750 0.4675 0.6940 0 0 0 0 This problem used 1.3% of my workspace Task Time elapsed (DD:HH:MM:SS) Reading script & data 0: 0: 0: 0.00 Execution 0: 0: 0: 7.63 TOTAL 0: 0: 0: 7.63 Total number of warnings issued: 1 ______________________________________________________________________________