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The program TOTDET.EXE is a DOS utility which calculates the Total coefficient of determination.

Previous versions of LISREL 7 calculated a statistic called "Total coefficient of determination for structural equations".

The authors of LISREL 8 decided not to include this statistic as part of the available LISREL output. However, you can compute it from other portions of the LISREL output.

The formula for the total coefficient of determination for structural equations is:

1.0-|PSI|/|COV_ETA|

where |PSI| is the determinant of the psi (LISREL PS) matrix and |COV_ETA| is the determinant of the covariances of the LISREL ETA matrix.

You can compute the value of the total coefficient of determination for structural equations using the utility program TOTDET.EXE.

Procedure:

Suppose you have the following LISREL program and output (edited to conserve space).

EX64.LS8

Stability of Alienation! EX64.LS8! See LISREL8 manual, p. 216! Chapter 6.4: Two-wave models< ! A LISREL7-generated printout yields a coefficient of determination,  ! squared, for structural equations  of .345. The TOTDET.EXE program  ! should yield the same value.    DA NI=6 NO=932  LA  ANOMIA67 POWERL67 ANOMIA71 POWERL71 EDUC SEI  CM FI=ex64.cov  MO NY=4 NX=2 NE=2 NK=1 TE=SY,FI TD=SY,FI PS=FU  PA LY  0 0  1 0  0 0  0 1  VA 1.0 LY(1,1) LY(3,2)  PA LX  0  1  VA 1.0 LX(1,1)  FR TE(1,1) TE(2,2) TE(3,3) TE(4,4) TD(1,1) TD(2,2) PS(2,1)  OU RS EF PS=PSI.COV

EX64.COV

  11.83   6.95      9.36   6.82      5.09      12.53   4.78      5.03       7.50     9.99  -3.84     -3.89      -3.84    -3.62   9.61  -2.19     -1.88      -2.17    -1.88   3.55    4.50

PART OF OUTPUT

Stability of AlienationNUMBER OF INPUT VARIABLES 6NUMBER OF Y - VARIABLES 4NUMBER OF X - VARIABLES 2NUMBER OF ETA - VARIABLES 2NUMBER OF KSI - VARIABLES 1NUMBER OF OBSERVATIONS 932Stability of AlienationCOVARIANCE MATRIX TO BE ANALYZED       ANOMIA67 POWERL67 ANOMIA71 POWERL71   EDUC   SEIANOMIA67   11.83POWERL       6.95      9.36ANOMIA71     6.82      5.09      12.53POWERL71   4.78      5.03       7.50     9.99EDUC           -3.84     -3.89      -3.84    -3.62   9.61SEI               -2.19     -1.88      -2.17    -1.88   3.55   4.50

(output deleted)

COVARIANCE MATRIX OF ETA AND KSI         ETA 1      ETA 2   KSI 1ETA 1   7.82                          }   USE THIS PART ONLYETA 2   6.22      8.83              }KSI 1   -4.09     -4.04     6.66

(output deleted)

PSI        ETA 1   ETA 2ETA 1   5.31           (.47)         11.23ETA 2  3.74    6.38           (.36)   (.54)         10.48   11.83

Take the output from the ETA portion of the COVARIANCE MATRIX OF ETA AND KSI and place that in a file , e.g. ETA.COV (Use only the lower triangular part of this matrix (see the example ETA.COV)

ETA.COV

7.826.22 8.83

PSI.COV

5.313.74  6.38

Start TOTDET.EXE by typing TOTDET at the DOS prompt


The program will prompt you to

Type in the value of NE (e.g. 2)

Specify the name of the file where COV(PSI) is stored (e.g. psi.cov)

Specify the name of the file where COV(ETA) is stored (e.g. eta.cov)