Cover for Analysis and Design of Certain Quantitative Multiresponse Experiments

Analysis and Design of Certain Quantitative Multiresponse Experiments

A volume in International Series of Monographs in Applied Statistics and Biometry

Book1971

Authors:

S.N. ROY, R. GNANADESIKAN and J.N. SRIVASTAVA

Analysis and Design of Certain Quantitative Multiresponse Experiments

A volume in International Series of Monographs in Applied Statistics and Biometry

Book1971

 

Cover for Analysis and Design of Certain Quantitative Multiresponse Experiments

Authors:

S.N. ROY, R. GNANADESIKAN and J.N. SRIVASTAVA

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Book description

Analysis and Design of Certain Quantitative Multiresponse Experiments highlights (i) the need for multivariate analysis of variance (MANOVA); (ii) the need for multivariate design ... read full description

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  2. Book chapterAbstract only

    CHAPTER I - INTRODUCTION

    Pages 1-13

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    CHAPTER II - LINEAR MODELS

    Pages 14-18

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    CHAPTER III - POINT ESTIMATION OF LOCATION PARAMETERS

    Pages 19-31

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    CHAPTER IV - TESTING OF LINEAR HYPOTHESES

    Pages 32-66

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    CHAPTER V - PROPERTIES OF THE TEST PROCEDURES

    Pages 67-77

  7. Book chapterAbstract only

    CHAPTER VI - CONFIDENCE BOUNDS

    Pages 78-96

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    CHAPTER VII - GRAPHICAL METHODS AND INTERNAL COMPARISONS

    Pages 97-112

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    CHAPTER VIII - HIERARCHICAL AND p-BLOCK MULTIRESPONSE DESIGNS AND THEIR ANALYSIS

    Pages 113-126

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    CHAPTER IX - INCOMPLETE MULTIRESPONSE DESIGNS

    Pages 127-138

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    CHAPTER X - CONSTRUCTION OF MULTIRESPONSE DESIGNS

    Pages 139-145

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    BIBLIOGRAPHY

    Pages 146-150

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    APPENDIX A - SOME SPECIFIC MATRIX RESULTS

    Pages 151-156

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    APPENDIX B - TABLES AND/OR CHARTS ASSOCIATED WITH THE PROCEDURES

    Pages 157-215

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    APPENDIX C

    Pages 216-299

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    AUTHOR INDEX

    Pages 301-302

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    SUBJECT INDEX

    Pages 303-304

About the book

Description

Analysis and Design of Certain Quantitative Multiresponse Experiments highlights (i) the need for multivariate analysis of variance (MANOVA); (ii) the need for multivariate design for multiresponse experiments; and (iii) the actual procedures and interpretation that have been used for this purpose by the authors. The development in this monograph is such that the theory and methods of uniresponse analysis and design stay very close to classical ANOVA. The book first discusses the multivariate aspect of linear models for location type of parameters, but under a univariate design, i.e. one in which each experimental unit is measured or studied with respect to all the responses. Separate chapters cover point estimation of location parameters; testing of linear hypotheses; properties of test procedures; and confidence bounds on a set of parametric functions. Subsequent chapters discuss a graphical internal comparison method for analyzing certain kinds of multiresponse experimental data; two classes of multiresponse designs, i.e. designated hierarchical and p-block designs; and the construction of various kinds of multiresponse designs.

Analysis and Design of Certain Quantitative Multiresponse Experiments highlights (i) the need for multivariate analysis of variance (MANOVA); (ii) the need for multivariate design for multiresponse experiments; and (iii) the actual procedures and interpretation that have been used for this purpose by the authors. The development in this monograph is such that the theory and methods of uniresponse analysis and design stay very close to classical ANOVA. The book first discusses the multivariate aspect of linear models for location type of parameters, but under a univariate design, i.e. one in which each experimental unit is measured or studied with respect to all the responses. Separate chapters cover point estimation of location parameters; testing of linear hypotheses; properties of test procedures; and confidence bounds on a set of parametric functions. Subsequent chapters discuss a graphical internal comparison method for analyzing certain kinds of multiresponse experimental data; two classes of multiresponse designs, i.e. designated hierarchical and p-block designs; and the construction of various kinds of multiresponse designs.

Details

ISBN

978-0-08-006917-3

Language

English

Published

1971

Copyright

Copyright © 1971 Elsevier Inc. All rights reserved.

Imprint

Pergamon

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Authors

S.N. ROY

University of North Carolina

R. GNANADESIKAN

Bell Telephone Laboratories Inc.

J.N. SRIVASTAVA

Colorado State University