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Wayne State University

Nursing Faculty Research Publications

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Using The Inverse Transform To Specify Contrasts In Regression And Latent Curve Structural Equation Models, Thomas N. Templin Aug 2013

Using The Inverse Transform To Specify Contrasts In Regression And Latent Curve Structural Equation Models, Thomas N. Templin

Nursing Faculty Research Publications

A simple yet general method for specifying contrasts to test hypotheses in regression and latent curve structural equation models is presented. The traditional qualitative variable coding schemes used in multiple regression (e.g., dummy coding) have a more general formulation. Five matrices are involved: The coding scheme, A. The matrix which gives the distribution and ordering of cases, W; WA = X; X is the design matrix. The contrast coefficient matrix C; and C-1 = A. In practice, only C, C-1, and A are necessary because the statistical software generates the design matrix. This method has great generality …