Univariate and Multivariate General Linear Models : Theory and Applications with SAS, Second Edition book cover
1st Edition

Univariate and Multivariate General Linear Models
Theory and Applications with SAS, Second Edition

ISBN 9780367453442
Published December 2, 2019 by Chapman and Hall/CRC
549 Pages

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Book Description

Reviewing the theory of the general linear model (GLM) using a general framework, Univariate and Multivariate General Linear Models: Theory and Applications with SAS, Second Edition presents analyses of simple and complex models, both univariate and multivariate, that employ data sets from a variety of disciplines, such as the social and behavioral sciences.

With revised examples that include options available using SAS 9.0, this expanded edition divides theory from applications within each chapter. Following an overview of the GLM, the book introduces unrestricted GLMs to analyze multiple regression and ANOVA designs as well as restricted GLMs to study ANCOVA designs and repeated measurement designs. Extensions of these concepts include GLMs with heteroscedastic errors that encompass weighted least squares regression and categorical data analysis, and multivariate GLMs that cover multivariate regression analysis, MANOVA, MANCOVA, and repeated measurement data analyses. The book also analyzes double multivariate linear, growth curve, seeming unrelated regression (SUR), restricted GMANOVA, and hierarchical linear models.

New to the Second Edition

  • Two chapters on finite intersection tests and power analysis that illustrates the experimental GLMPOWER procedure
  • Expanded theory of unrestricted general linear, multivariate general linear, SUR, and restricted GMANOVA models to comprise recent developments
  • Expanded material on missing data to include multiple imputation and the EM algorithm
  • Applications of MI, MIANALYZE, TRANSREG, and CALIS procedures

    A practical introduction to GLMs, Univariate and Multivariate General Linear Models demonstrates how to fully grasp the generality of GLMs by discussing them within a general framework.
  • Table of Contents

    Preface. Overview of the General Linear Model. Unrestricted General Linear Models. Restricted General Linear Models. Weighted General Linear Models. Multivariate General Linear Models. Doubly Multivariate Linear Model. The Restricted MGLM and the Growth Curve Model. The SUR Model and the Restricted GMANOVA Model. Simultaneous Inference Using Finite Intersection Tests. Computing Power for Univariate and Multivariate GLM. Two-Level Hierarchical Linear Models. Incomplete Repeated Measurement Data. Structural Equation Modeling. References.

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    Kevin Kim, Neil Timm