文档介绍：Applied Factor Analysis in the Natural Sciences
Applied Factor Analysis
in the Natural Sciences
RICHARD A. REYMENT
K. G. JORESKOG
University of Uppsala
Appendix by LESLIE F. MARCUS
American Museum of Natural History
Queens College, CUNY
CAMBRIDGE
UNIVERSITY PRESS
PUBLISHED BY THE PRESS SYNDICATE OF THE UNIVERSITY OF CAMBRIDGE
The Pitt Building, Trumpington Street, Cambridge CB2 IRP
CAMBRIDGE UNIVERSITY PRESS
The Edinburgh Building, Cambridge CB2 2RU, United Kingdom
40 West 20th Street, New York, NY 10011-4211, USA
10 Stamford Road, Oakleigh, Melbourne 3166, Australia
© Cambridge University Press 1996
This book is in copyright. Subject to statutory exception
and to the provisions of relevant collective licensing agreements,
no reproduction of any part may take place without
the written permission of Cambridge University Press.
Original edition published in 1976 by Elsevier Scientific pany, Amsterdam
Second edition published by Cambridge University Press 1993
First published 1993
First paperback edition 1996
Printed in the United States of America
Library of Congress Cataloging-in-Publication Data is available.
A catalog record for this book is available from the British Library.
ISBN 0-521-41242-0 hardback
ISBN 0-521-57556-7 paperback
Contents
Preface page ix
Glossary of the monly used symbols x
Preface to first edition xi
1 Introduction
Structure in multivariate data 1
An example of ponent factor analysis 2
Overview of problems amenable to treatment by factor-
analytical techniques 11
2 Basic Mathematical and Statistical Concepts
Some definitions 15
Geometrical interpretation of data matrices 18
Elementary vector operations 20
The geometry of vectors 23
Types of matrices 26
Elementary matrix arithmetic 27
Normal and orthonormal vectors and matrices 34
Descriptive statistics in matrix notation 35
Rotation of coordinate systems 44
The structure of a m