Estimating interaction and nonlinear effects with SAS

Phillip K. Wood, Darin J. Erickson

Research output: Chapter in Book/Report/Conference proceedingChapter


This chapter presents a small SAS program that takes as input the PROC CALIS program setup for a structural model that estimates only linear effects. It analyses based on the original raw data, data that were rank transformed, and subsets of the data excluding abstaining participants or those who met liberal criteria for being multivariate outliers. Polynomial regression techniques have been used to describe the functional relationship of quadratic or interaction effects in addition to main effects of variables. Although there is a clear conceptual utility in estimating such quadratic and interaction effects, such regression models have been shown to produce biased and/or inconsistent estimates if the predictor variables contain significant amounts of measurement error. Like J. Jaccard and C. K. Wan, K. G. Joreskog and F. Yang have also noted that the advent of the ability to program nonlinear constraints in structural equation modelling programs eliminates the need to specify the cross-product parameters.

Original languageEnglish (US)
Title of host publicationInteraction and Nonlinear Effects in Structural Equation Modeling
PublisherTaylor and Francis
Number of pages24
ISBN (Electronic)9781351562638
ISBN (Print)9780805829518
StatePublished - Jan 1 2017
Externally publishedYes


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