On a Class of Multivariate Multisample Rank Order Tests II (Classic Reprint)
Language: English
Published by Forgotten Books, 2022
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
US$ 17.55
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Print on Demand. This book introduces a class of rank order tests for homogeneity of dispersion matrices in multivariate analysis. Most nonparametric tests for multivariate analysis are restricted to location and scale problems, or patterns of association. The author presents both permutationally distribution-free tests assuming the identity of location parameters, and large-sample tests without assuming location parameter identity. They also briefly discuss the problem of testing simultaneously the homogeneity of location parameters as well as dispersion matrices. The tests proposed by the author are extensions of the Chernoff-Savage type of statistics, and the corresponding rank order estimates are used to formulate the tests. The book concludes with a discussion of the asymptotic properties of the tests, including asymptotic normality and asymptotic relative efficiency, making it a valuable resource for researchers and practitioners working in multivariate analysis and nonparametric inference. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book.…
Seller Inventory # 9781333220839_0
- Title
- On a Class of Multivariate Multisample Rank Order Tests II (Classic Reprint)
- Author
- Madan Lal Puri, Pranab Kumar Sen
- Publisher
- Forgotten Books
- Publication year
- 2022
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1333220839
- ISBN 13
- 9781333220839
- Seller catalogs
- Statistics
Explore nonparametric ways to compare dispersion patterns across multiple groups.
This book offers rank‑order approaches to testing homogeneity of dispersion matrices in multivariate data, focusing on procedures that are robust to outliers and do not rely on normality assumptions.
This edition develops a class of regular functionals and their rank‑based tests, including permutation methods and nonparametric alternatives. It explains how to handle both location and dispersion, discusses theoretical properties, and shows how to apply these tests to real‑world multivariate samples.- Introduces generalized grades and dispersion matrices that stay informative under transformations
- Derives permutation‑based test statistics and their asymptotic behavior
- Compares nonparametric tests with classical parametric criteria and likelihood methods
- Offers practical guidance for implementing tests across multiple samples and dimensions
Ideal for readers who want to deepen their understanding of nonparametric multivariate testing and its applications in data analysis.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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