Multivariate Exploratory Data Analysis: A Perspective on Exploratory Factor Analysis

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SUNY Press, 1987 - Business & Economics - 354 pages
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In an exciting return to the roots of factor analysis, Allen Yates reviews its early history to clarify original objectives created by its discoverers and early developers. He then shows how computers can be used to accomplish the goals established by these early visionaries, while taking into account modern developments in the field of statistics that legitimize exploratory data analysis as a technique of discovery.

The book presents a unique perspective on all phases of exploratory factor analysis. In doing so, the popular objectives of the method are literally turned upside down both at the stage where the model is being fitted to data and in the subsequent stage of simple structure transformation for meaningful interpretation. What results is a fully integrated approach to exploratory analysis of associations among observed variables, revealing underlying structure in a totally new and much more invariant manner than ever before possible.
 

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Contents

PROLOGUE
1
INTRODUCTORY ALGEBRA GEOMETRY AND TERMINOLOGY
7
THE FACTOR ANALYSIS MODEL
9
TRANSFORMATION OF PRIMARY FACTORS ON THE BASIS OF THURSTONES ORIGINAL MATHEMATICAL CRITERION FOR A BESTFIT...
29
SIMPLE STRUCTURE TRANSFORMATION
31
PRACTICAL APPLICATION OF DIRECT GEOMIN TRANSFORMATION
61
BOUNDING THE TEST VECTOR CONFIGURATION WITH HYPERPLANES THROUGH SIMPLE STRUCTURE TRANSFORMATION
79
SIMPLE STRUCTURE RECONSIDERED
81
A GLOBAL STRATEGY FOR BOUNDING HYPERPLANE SIMPLE STRUCTURE TRANSFORMATION
133
FACTORIAL INVARIANCE AND THE GLOBAL DIRECT GEOPLANE TRANSFORMATION STRATEGY
153
DISTINGUISHING INVARIANT MAJOR COMMON FACTORS FROM UNSTABLE MINOR FACTORS OF GROUP OVERLAP
185
ALTERNATIVE APPROACHES TO THE PROBLEM OF EXTRACTING COMMON FACTORS
187
RESISTANT FITTING AND THE NUMBER OF FACTORS PROBLEMTOWARD FULLY EXPLORATORY FACTOR ANALYSIS
233
FULLY EXPLORATORY FACTOR ANALYSIS
283
HISTORICAL PERSPECTIVE PRACTICAL APPLICATION AND FUTURE POSSIBILITIES
285
RELEASE FROM THE BURDEN OF CONFIRMATION IN FULLY EXPLORATORY MULTIVARIATE DATA ANALYSIS
323

BOUNDING HYPERPLANE SIMPLE STRUCTURE TRANSFORMATION
105

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About the author (1987)

Dr. Yates is Senior Project Director at The Psychological Corporation.

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