Analytical rotation in canonical analysis

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1990

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Abstract

The present study investigates the viability of analytic rotation as a method in the process of interpreting canonical solutions. Although rotation of canonical components has been proposed as an alternative for the interpretation of canonical analysis and has been applied in some studies, there has been no study having rotation of canonical components as its focus. There has been no systematic study of the various rotation methods and the appropriateness of their use in canonical analysis. Just as the research question and the nature of the data should dictate the analysis, the internal structure of the data should also indicate whether rotation is a viable alternative. In the current study, analytic rotation methods are studied in relationship to different types of data matrices to identify the optimal conditions for rotation. The study found that analytic rotation of canonical variates is a viable method for interpreting results from canonical analysis. Canonical variates should routinely be rotated following the initial solution, as is usually the case with factor analysis. Another conclusion of this study is that a strong theoretical framework can provide the basis for interpretation, and well-defined variables are essential to any factor analysis or canonical analysis.

Description

Thesis (Ph. D.)--University of Hawaii at Manoa, 1990.
Includes bibliographical references (leaves 94-95)
Microfiche.
vii, 95 leaves, bound 29 cm

Keywords

Educational statistics, Canonical correlation (Statistics), Multivariate analysis

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Theses for the degree of Doctor of Philosophy (University of Hawaii at Manoa). Educational Psychology; no. 2578

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Table of Contents

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