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SPSS® 12.0 Command Syntax Reference

SPSS® 12.0 Command Syntax Reference

SPSS® 12.0 Command Syntax Reference

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GLM: Overview 645<br />

• Display expected mean squares, automatically detecting and using the appropriate error<br />

term for testing each effect in mixed- and random-effects models.<br />

• Select commonly used contrasts or specify custom contrasts to perform hypothesis tests.<br />

• Customize hypothesis testing, based on the null hypothesis LBM = K, where B is the<br />

parameter vector or matrix.<br />

• Display a variety of post hoc tests for multiple comparisons.<br />

• Display estimates of population marginal cell means for both between-subjects factors<br />

and within-subjects factors, adjusted for covariates.<br />

• Perform multivariate analysis of variance and covariance.<br />

• Estimate parameters using the method of weighted least squares and a generalized inverse<br />

technique.<br />

• Compare graphically the levels in a model by displaying plots of estimated marginal cell<br />

means for each level of a factor, with separate lines for each level of another factor in the<br />

model.<br />

• Display a variety of estimates and measures useful for diagnostic checking. All of these<br />

estimates and measures can be saved in a data file for use by another SPSS procedure.<br />

• Perform repeated measures analysis of variance.<br />

• Display homogeneity tests for testing underlying assumptions in multivariate and univariate<br />

analyses.<br />

General Linear Model (GLM) and MANOVA<br />

MANOVA, the other generalized procedure for analysis of variance and covariance in SPSS,<br />

is available only in syntax. The major distinction between GLM and MANOVA in terms of<br />

statistical design and functionality is that GLM uses a non-full-rank, or overparameterized,<br />

indicator variable approach to parameterization of linear models, instead of the full-rank<br />

reparameterization approach used in MANOVA. The generalized inverse approach and the<br />

aliasing of redundant parameters to zero employed by GLM allow greater flexibility in handling<br />

a variety of messy data situations, particularly those involving empty cells. GLM offers<br />

a variety of features unavailable in MANOVA:<br />

• Identification of the general forms of estimable functions.<br />

• Identification of forms of estimable functions specific to four types of sums of squares<br />

(Types I–IV).<br />

• Tests using the four types of sums of squares, including Type IV, specifically designed<br />

for situations involving empty cells.<br />

• Flexible specification of general comparisons among parameters, using the syntax<br />

subcommands LMATRIX, MMATRIX and KMATRIX; sets of contrasts can be specified that<br />

involve any number of orthogonal or nonorthogonal linear combinations.<br />

• Nonorthogonal contrasts for within-subjects factors (using the syntax subcommand<br />

WSFACTORS).<br />

• Tests against nonzero null hypotheses can be specified using the syntax subcommand<br />

KMATRIX.

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