Between Effects Matrices in GLM, GRM, and ANOVA

The Between effects matrices are available on the GLM, GRM, and ANOVA Results - Matrix tab and the GLM, GRM, and ANOVA More Results - Matrix tab.

Between effects

Use the options in the Between effects group box to review the sums of squares and cross-product matrices and derived matrices for the between effects in the design.

Error SS

Click the Error SS (Error SSCP) button to create a spreadsheet of the residual sums of squares and cross-product matrix; for standard models without random effects and repeated measures, this matrix is used as the error term in the ANOVA (MANOVA) tables. If the design includes within-subject (repeated measures) factors, use the options in the Within effect group box to review the Effect SSCP and Error SSCP matrices for the repeated measures effects.

Cov

Click the Cov (Error Covariances) button to create a spreadsheet of the between effects residual variances and covariances; the values in this matrix are computed by dividing the Error SSCP values (residual sums of squares and cross products, see above) by the number of valid cases minus 1.

Note: weights. If weights were specified for the current analysis, the divisor that is used to compute the variances and covariances from the deviation sums of squares and cross-products (see option Error SSCP, above) depends on the setting of the Weighted moments check box available on the GLM Startup Panel. If Weighted moments is not selected, the values found in the weight variable will be treated as case multipliers, and the denominator will be computed accordingly. If Weighted moments is selected and the DF = W-1 option button is selected, the denominator is computed as the sum of the weights minus 1. If the DF = N-1 option button is selected, the denominator is computed as the number of valid cases minus 1.

DV partial corr

Click the DV partial corr (error correlations) button to create a spreadsheet of the between effects residual correlations; the values in this matrix are computed by standardizing the values in the Error SSCP matrix (see above). This is also the matrix of partial correlation among the dependent (response) variables. Partial and semi-partial correlations of predictor variables (columns in the design matrix) with the dependent (response) variables can be computed via the Partial corrs option in the Between design group box.

Note: Collinearity statistics may possibly be omitted from this spreadsheet if the matrix inversion routine detects numerical round-off problems according to the precision specified by the SDELTA parameter (Sweep Delta and Inverse Delta for matrix inversion and determining estimable functions) on the analysis dialog. To attempt to display the statistics when omitted, try inputting larger values for the DELTA parameters and rerun the analysis. Be aware, though, that you will need to carefully review your results for consistency, as they may be subject to round-off errors.

DV semi-partial

Click the DV semi-partial (DV semi-partial correlations) button to create a spreadsheet of the matrix of semi-partial correlations between the dependent (response) variables, controlling for all predictor effects in the current model. Partial and semi-partial correlations of predictor variables (columns in the design matrix) with the dependent (response) variables can be computed via the Partial corrs option in the Between design group box.

Effect SSCPs

Click the Effect SSCPs button to create a spreadsheet with the sums of squares and cross-product matrices for the between effects. In designs without within (repeated measures) factors, these matrices are used to evaluate the significance of the effects in the model (in the ANOVA/MANOVA tables). Use the options in the Within effects group box to review the Effect SSCP and Error SSCP matrices for repeated measures effects.

Effect Covs

Click the Effect Covs (Effect Covariances) button to create a spreadsheet with the covariances for the between effects (see option Effect SSCPs, above). See also the Note on weights (above) for a description of the computations when Weights are in use.

Effect Corrs

Click the Effect Corrs (Effect Correlations) button to create a spreadsheet with the correlations (standardized covariances; see option Effect Covs, above) for the between effects (see also option Effect SSCPs, above).

Show intercept

Select the Show intercept check box to include the effect for the intercept in the effect matrices (Effect SSCPs, Effect Covs, Effect Corrs); clear this check box if those matrices are not of interest.

See also GLM - Index.