ANOVA : Repeated Measures Sage University Papers Series. Quantitative title: Applications in the Social Sciences ; No. 07-084 author: Girden, Ellen R. publisher: Sage Publications, Inc. isbn10 | asin: 0803942575 print isbn13: 9780803942578 ebook isbn13: 9780585212074 language: English Social sciences--Statistical methods, subject Analysis of variance. publication date: 1992 lcc: HA29.G567 1992eb ddc: 300/.1/519538 subject: Social sciences--Statistical methods, Analysis of variance. ANOVA Repeated Measures SAGE UNIVERSITY PAPERS Series: Quantitative Applications in the Social Sciences Series Editor: Michael S. Lewis-Beck, University of Iowa Editorial Consultants Richard A. Berk, Sociology, University of California, Los Angeles William D. Berry, Political Science, Florida State University Kenneth A. Bollen, Sociology, University of North Carolina, Chapel Hill Linda B. Bourque, Public Health, University of California, Los Angeles Jacques A. Hagenaars, Social Sciences, Tilburg University Sally Jackson, Communications, University of Arizona Richard M. Jaeger, Education, University of North Carolina, Greensboro Gary King, Department of Government, Harvard University Roger E. Kirk, Psychology, Baylor University Helena Chmura Kraemer, Psychiatry and Behavioral Sciences, Stanford University Peter Marsden, Sociology, Harvard University Helmut Norpoth, Political Science, SUNY, Stony Brook Frank L. Schmidt, Management and Organization, University of Iowa Herbert Weisberg, Political Science, The Ohio State University Publisher Sara Miller McGune, Sage Publications, Inc. INSTRUCTIONS TO POTENTIAL CONTRIBUTORS For guidelines on submission of a monograph proposal to this series, please write Michael S. Lewis-Beck, Editor Sage QASS Series Department of Political Science University of Iowa Iowa City, IA 52242 Page i Series/Number 07-084 ANOVA Repeated Measures Ellen R. Girden Nova University SAGE PUBLICATIONS The International Professional Publishers Newbury Park London New Delhi Page ii Copyright © 1992 by Sage Publications, Inc. All rights reserved. No part of this book may be reproduced or utilized in any form or by any means, electronic or mechanical, including photocopying, recording, or by any information storage and retrieval system, without permission in writing from the publisher. For information address: SAGE Publications, Inc. 2455 Teller Road Newbury Park, California 91320 E-mail: [email protected] SAGE Publications Ltd. 6 Bonhill Street London EC2A 4PU United Kingdom SAGE Publications India Pvt. Ltd. M-32 Market Greater Kailash I New Delhi 110 048 India Printed in the United States of America Girden, Ellen R. ANOVA: repeated measures/Ellen R. Girden. p. cm.(Sage university papers series. Quantitative applications in the social sciences; 84) Includes bibliographical references (p. ). ISBN 0-8039-4257-5 (pb) 1. Social sciencesStatistical methods. 2. Analysis of variance. I. Title. II. Series. HA29.G567 1992 300'.1'519538dc20 91-34563 99 00 01 10 9 8 7 6 Sage Production Editor: Astrid Virding When citing a university paper, please use the proper form. Remember to cite the current Sage University Paper series title and include the paper number. One of the following formats can be adapted (depending on the style manual used): (1)GIRDEN, E.R. (1992) ANOVA: Repeated Measures. Sage University Paper Series on Quantitative Applications in the Social Sciences, 07-084. Newbury Park, CA: Sage. OR (2)Girden, E.R. (1992) ANOVA: Repeated Measures (Sage University Paper series on Quantitative Applications in the Social Sciences, series no. 07-084). Newbury Park, CA: Sage. Page iii Contents Series Editor's Introduction v 1. Introduction 1 2. Repeated Measures Situations 2 Advantages and Disadvantages 3 Counterbalancing 3 Application of Repeated Measures Designs 4 3. Single-Factor Studies 6 Additive Model 7 Nonadditive Model 8 The Analysis 10 Validity Assumptions of Repeated Measures ANOVA 13 Adjusted Degrees of Freedom 19 Trend Analysis 21 Multivariate Approach 22 ANOVA Versus MANOVA 25 Analyses of Means Differences 26 Strength of Association Between Independent and 29 Response Variables 4. Two-Factor Studies with Repeated Measures on Both 31 Factors Partitioning of Sums of Squares 32 Calculation of Sums of Squares 35 Mean Squares and F Ratios 36 Assumptions of the Factorial Analysis with Repeated 38 Measures Multivariate Tests 39 Analyses of Means Differences 39 Strength of Association Between Independent and 41 Response Variables
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