Allen Yates - Multivariate exploratory data analysis: a perspective on exploratory factor analysis
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Multivariate Exploratory Data Analysis : A Perspective On Exploratory Factor Analysis
author
:
Yates, Allen.
publisher
:
State University of New York Press
isbn10 | asin
:
0887065392
print isbn13
:
9780887065392
ebook isbn13
:
9780585064048
language
:
English
subject
Factor analysis, Psychometrics.
publication date
:
1987
lcc
:
QA278.5.Y38 1987eb
ddc
:
519.5/354
subject
:
Factor analysis, Psychometrics.
Multivariate Exploratory Data Analysis
The world is not to be narrowed till it will go into the understanding... but the understanding is to be expanded and opened till it can take in the image of the world. Francis Bacon, The Parasceve
Multivariate Exploratory Data Analysis
A Perspective on Exploratory Factor Analysis
Allen Yates
State University of New York Press
Published by State University of New York Press, Albany
1987 State University of New York
All rights reserved
Printed in the United States of America
No part of this book may be used or reproduced in any manner whatsoever without written permission except in the case of brief quotations embodied in critical articles and reviews.
For information, address State University of New York Press, State University Plaza, Albany, N.Y. 12246
Library of Congress Cataloging-in-Publication Data
Yates, Allen, 1943 Multivariate exploratory data analysis. Bibliography: p. Includes index. 1. Factor analysis. 2. Psychometrics. I. Title. QA278.5.Y38 1987519.5'35486-30207 ISBN 0-88706-538-4 ISBN 0-88706-539-2 (pbk.)
10 9 8 7 6 5 4 3 2 1
To R. DeWAYNE BADGER for his patience, care, and support-which gave me the courage and strength to undertake completion of the book.
and to ROBERT M. PRUZEK for his friendship, his faith in the book, and his willingness always to lend a helping hand.
Page vii
CONTENTS
Tables
xi
Figures
xiii
Preface
xv
Prologue
1
Part I. Introductory Algebra, Geometry, and Terminology
Chapter 1. The Factor Analysis Model
Factor Analysis as a Special Case of Multivariate Multiple Regression
9
The Geometry of Factor Analysis in the Case of an Ideal Simple Structure
20
Part II. Transformation of Primary Factors on the Basis of Thurstone's Original Mathematical Criterion for a Best-Fitting Simple Structure
Chapter 2. Simple Structure Transformation
Thurstone's Mathematical Criterion for a Best-Fitting Simple Structure
31
Direct Geomin Transformation for Primary Factor Pattern Simplification
44
The Geometry of Primary Factor Rotation
49
Page viii
The Algebra of Factor Pair Rotation
52
Solution for the Optimum Angle of Rotation
56
Chapter 3. Practical Application of Direct Geomin Transformation
A Comparison of Direct Geomin and Direct Quartimin
61
Hard vs. Soft Squeeze Direct Geomin Transformation Strategies
67
Resistant Fitting Aspects of Direct Geomin Transformation
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