Multivariate analysis of variance (MANOVA): a practical guide to its use in scientific decision-making

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University of Alabama Press, 1984 - Mathematics - 129 pages
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Historical origins of MANOVA; Era of multivariate techniques; Sequential trends in application of multivariate techniques; Conceptual theory underlying MANOVA; Parallels between univariate ANOVA and multivariate MANOVA; Factor analysis and MANOVA; MANOVA tests of statistical significance; Differential sensitivity of test criteria related to distribution of trace; Assumptions underlying ANOVA and MANOVA; Decision strategies; Decision errors; ANOVA power analysis; MANOVA power analysis; Bonferroni t; Classic MANOVA procedure; Hummel-sligo procedure; Mixed strategy; Classic research designs; Two preliminary issues; Control checklist; Origin of all classic ANOVA designs; Extension of t test for independent groups; Extension of the t test for matched pairs (subject as his or her own control); Mixed designs; Applications of MANOVA to classic research designs; Preliminary considerations; Classic designs; Application of MANOVA to univariate designs that involve repeated measures; Distinction between MANOVA applied to univariate and multivariate repeated-measures designs; Univariate analysis of repeated measures; A univariate procedure for analyzing repeated-measures designs; Multivariate analysis of variance of repeated-measures designs; Checklist for the investigator conducting MANOVA research; Decision to conduct a study or experiment; Selection of dependent variables; Selection of a MANOVA test criterion; Statement of problem; Research design; Computer program test; Selection of MANOVA strategy; Hierarchy of hypotheses; Reporting multivariate outcomes; Hand-calculated example of one-way (simple randomized) MANOVA.

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Contents

Historical Origins of MANOVA
5
Conceptual Theory Underlying MANOVA
17
Decision Strategies
28
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