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Statistical principles in experimental b j winer

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Statistical principles in experimental b j winer

https: //k hot h u vien .comSTATISTICAL PRINCIPLESIN EXPERIMENTAL DESIGNB. J. WINERProfessor of Psychology and Statistics Purdue UniversityMcGRAW-HILL

Statistical principles in experimental b j winer L BOOK COMPANY1962New York San Francisco Toronto LondonSTATISTICAL PRINCIPLES IN EXPERIMENTAL DESIGNCopyright (0 1962 by McGraw-Hill, Inc. Printed in

the United States of America. All rights reserved. This” book, or parts thereof, may not be reproduced in any form without permission of the publisher Statistical principles in experimental b j winer

s. Library of Congress Catalog Card Number 61-131747098010111213 HDMM 7654321069PrefaceWritten primarily for students and research workers in the area

Statistical principles in experimental b j winer

of the behavioral sciences, this book is meant to provide a text and comprehensive reference source on statistical principles underlying experimental

https: //k hot h u vien .comSTATISTICAL PRINCIPLESIN EXPERIMENTAL DESIGNB. J. WINERProfessor of Psychology and Statistics Purdue UniversityMcGRAW-HILL

Statistical principles in experimental b j winer sizes the logical basis of principles underlying designs for experiments rather than mathematical derivations associated with relevant sampling distri

butions. The topics selected for inclusion are those covered in courses taught by the author during the past several years.Students in these courses h Statistical principles in experimental b j winer

ave widely varying backgrounds in mathematics and come primarily from the fields of psychology, education, economics, sociology, and industrial engine

Statistical principles in experimental b j winer

ering. It has been the intention of the author to keep the book at a readability level appropriate for students having a mathematical background equiv

https: //k hot h u vien .comSTATISTICAL PRINCIPLESIN EXPERIMENTAL DESIGNB. J. WINERProfessor of Psychology and Statistics Purdue UniversityMcGRAW-HILL

Statistical principles in experimental b j winer dence to indicate that, in large measure, the desired readability level has been attained. Admittedly, however, there are some sections in the book wh

ere this readability goal has not been achieved.The first course in design, as taught by the author, has as a prerequisite a basic course in statistic Statistical principles in experimental b j winer

al inference. The contents of Chaps. 1 and 2 review the highlights of what is included in the prerequisite material. These chapters are not meant to p

Statistical principles in experimental b j winer

rovide the reader with a first exposure to these topics. They are intended to provide a review of terminology and notation for the concepts which are

https: //k hot h u vien .comSTATISTICAL PRINCIPLESIN EXPERIMENTAL DESIGNB. J. WINERProfessor of Psychology and Statistics Purdue UniversityMcGRAW-HILL

Statistical principles in experimental b j winer th, the author has included Chaps. 3, 4, parts of 5, 6, parts of 7, parts of 10, and parts of 11. Chapters 8 through 11 were written to be somewhat in

dependent of each other.viPREFACEHence one may read, with understanding, in these chapters without undue reference to material in the others.In genera Statistical principles in experimental b j winer

l, the discussion of principles, interpretations of illustrative examples, and computational procedures are included in successive sections within the

Statistical principles in experimental b j winer

same chapter. However, to facilitate the use of the book as a reference source, this procedure is not followed in Chaps. 5 and 6. Basic principles as

https: //k hot h u vien .comSTATISTICAL PRINCIPLESIN EXPERIMENTAL DESIGNB. J. WINERProfessor of Psychology and Statistics Purdue UniversityMcGRAW-HILL

Statistical principles in experimental b j winer ed in Chap. 6. For teaching purposes, the author includes relevant material from Chap. 6 with the corresponding material in Chap. 5.Selected topics fr

om Chaps. 7 through 11 have formed the basis for a second course in experimental design.Relatively complete tables for sampling distributions of stati Statistical principles in experimental b j winer

stics used in the analysis of experimental designs are included in the Appendix. Ample references to source materials having mathematical proofs for t

Statistical principles in experimental b j winer

he principles stated in the text arc provided.The author is indebted to E. s. Pearson and the trustees of Biometrika for permission to reproduce parts

https: //k hot h u vien .comSTATISTICAL PRINCIPLESIN EXPERIMENTAL DESIGNB. J. WINERProfessor of Psychology and Statistics Purdue UniversityMcGRAW-HILL

Statistical principles in experimental b j winer H. Guthrie for permission to reproduce Table B.4, which was taken from WADC Technical Report 58-484, vol. II, 1959. The author is indebted to c. w. D

unnett and the editor of the Journal of the American Statistical Association for permission to reprint Table B.6. The author is also indebted to c. Ei Statistical principles in experimental b j winer

senhart, M. w. Hastay, and w. A. Wallis for permission to reprint Table B.8, which appears in Techniques of Statistical Analysis, 1947. The author is

Statistical principles in experimental b j winer

also indebted to L. s. Feldt and M. w. Mahmoud as well as the editor of Psychometrika for permission to reprint Table B.l 1.Special thanks are due to

https: //k hot h u vien .comSTATISTICAL PRINCIPLESIN EXPERIMENTAL DESIGNB. J. WINERProfessor of Psychology and Statistics Purdue UniversityMcGRAW-HILL

Statistical principles in experimental b j winer A. Wood for many reasons, and to Dr. A. Lubin, whose critical reading of the manuscript did much to help the author prepare the present version of thi

s book.B. J. WinerContentsPreface IntroductionV 1Chapter 1. Basic Concepts in Statistical Inference....41.1 Basic terminology in sampling .,..41.2 Bas Statistical principles in experimental b j winer

ic terminology in statistical estimation61.3 Basic terminology in testing statistical hypotheses9Chapter 2. Testing Hypotheses about Means and Varianc

Statistical principles in experimental b j winer

es .142.1 Testing hypotheses on means —Ơ assumed known142.2 Tests of hypotheses on means—Ơ estimated from sample data20

https: //k hot h u vien .comSTATISTICAL PRINCIPLESIN EXPERIMENTAL DESIGNB. J. WINERProfessor of Psychology and Statistics Purdue UniversityMcGRAW-HILL

https: //k hot h u vien .comSTATISTICAL PRINCIPLESIN EXPERIMENTAL DESIGNB. J. WINERProfessor of Psychology and Statistics Purdue UniversityMcGRAW-HILL

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