** Mx startup successful **
  
  **MX-PC 1.57c** Job started on 03/06/06 at 09:48:05
 
 
 The following MX script lines were read for group  1
 
 TITLE FIGURE OUT LIKELIHOOD BY HAND
 NGROUPS 1
 CALCULATION
 BEGIN MATRICES;
 E SYMM 2 2 ! EXPECTED COVARIANCE MATRIX  
 H FULL 1 1 ! ONE HALF  
 T FULL 1 1 ! TWO  
 M FULL 2 1 ! MEAN VECTOR  
 P FULL 1 1 ! PI  
 X FULL 2 1 ! OBSERVED DATA  
 END MATRICES;
 MATRIX E
 1 
 0.5 1 
 MATRIX H
 0.5 
 MATRIX M
 0 
 0 
 MATRIX P
 3.141592 
 MATRIX T
 2 
 MATRIX X
 0.5 
 -0.3
 BEGIN ALGEBRA;
 O=T*P*\SQRT\DET(E);   ! FRACTIONAL PART, 2PI*SQRT(DET(E)) 
 Q=(X-M)'&(E~);   ! MAHALANOBIS DISTANCE, (INDIV SCORE - MEAN)’& INVERSE OF COVARIANCE MATRIX 
 R=\EXP(-H*Q);   ! E TO THE POWER -.5*MAHALANOBIS DISTANCE 
 S=-T*\LN(R%O);   ! MINUS TWICE LOG-LIKELIHOOD 
 Z=-T*\LN(\PDFNOR(X'_M'_E));   ! AN EASIER WAY 
 END ALGEBRA;
 END GROUP;
  
  
  PARAMETER SPECIFICATIONS
  
  No free parameters specified
  
  
  
  
  MX PARAMETER ESTIMATES
  
  GROUP NUMBER: 1
  
Title figure out likelihood by hand                                                                                             
  
  MATRIX E
 This is a SYMMETRIC matrix of order    2 by    2
          1       2
 1   1.0000
 2   0.5000  1.0000
  
  MATRIX H
 This is a FULL matrix of order    1 by    1
          1
 1   0.5000
  
  MATRIX M
 This is a FULL matrix of order    2 by    1
          1
 1   0.0000
 2   0.0000
  
  MATRIX O
 This is a computed FULL matrix of order    1 by    1
  [=T*P*\SQRT\DET(E)]
             1
 1      5.4414
  
  MATRIX P
 This is a FULL matrix of order    1 by    1
             1
 1      3.1416
  
  MATRIX Q
 This is a computed FULL matrix of order    1 by    1
  [=(X-M)'&(E~)]
          1
 1   0.6533
  
  MATRIX R
 This is a computed FULL matrix of order    1 by    1
  [=\EXP(-H*Q)]
          1
 1   0.7213
  
  MATRIX S
 This is a computed FULL matrix of order    1 by    1
  [=-T*\LN(R%O)]
             1
 1      4.0414
  
  MATRIX T
 This is a FULL matrix of order    1 by    1
             1
 1      2.0000
  
  MATRIX X
 This is a FULL matrix of order    2 by    1
          1
 1   0.5000
 2  -0.3000
  
  MATRIX Z
 This is a computed FULL matrix of order    1 by    1
  [=-T*\LN(\PDFNOR(X'_M'_E))]
             1
 1      4.0414
  
 Your model has    0 estimated parameters and      0 Observed statistics
  
 Chi-squared fit of model >>>>>>>     0.000
 Degrees of freedom >>>>>>>>>>>>>         0
  Probability incalculable
 Akaike's Information Criterion >     0.000
 RMSEA >>>>>>>>>>>>>>>>>>>>>>>>>>     0.000
  
 This problem used  0.0% 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
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