Abstract #301362

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JSM 2003 Abstract #301362
Activity Number: 339
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Graphics
Abstract - #301362
Title: MANOVA p-Plots Compared to Eigenvalue Plots as Graphical Indices
Author(s): Bruce L. Brown*+ and Suzanne Hendrix and Kent A. Hendrix
Companies: Brigham Young University and Brigham Young University and NPS Pharmaceuticals
Address: 1098 SWKT BYU, Provo, UT, 84602,
Keywords: MANOVA ; p-plots ; graphical indices
Abstract:

Fifteen years ago the Graphical MANOVA (Hendrix and Brown 1988) was introduced as a powerful method for visually comprehending the multivariate structure of experimental data. Recent developments of this method focus on complex factorial datasets (three-way and higher) and the need for graphical comparisons of the relative strength of relationship in the simple effects and the interactions. This paper is a comparison of two approaches that have been taken: p-plots of the four MANOVA statistics, and plots of the eigenvalues of the E-inverse-H matrix. Analyses are conducted to explore the relative graphical power of these two approaches as a function of five ways in which datasets can differ: (1) dataset dimensionality, (2) the relative distances of means from one another, (3) the ratio of between to within variance, (4) the pattern of covariance structure, and (5) homogeneity of variance.

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