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  • Book
  • © 1990

Testing Problems with Linear or Angular Inequality Constraints

Authors:

  1. Johan C. Akkerboom

    1. Department of Statistical Methods, Central Bureau of Statistics, Heerlen, The Netherlands

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Part of the book series: Lecture Notes in Statistics (LNS, volume 62)

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Table of contents (5 chapters)

  1. Front Matter

    Pages I-XII
    PDF

  5. Circular Likelihood Ratio Tests for the Main Problem

    • Johan C. Akkerboom
    Pages 155-220

  6. Applications

    • Johan C. Akkerboom
    Pages 221-252

  7. Back Matter

    Pages 253-291
    PDF
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About this book

Represents a self-contained account of a new promising and generally applicable approach to a large class of one-sided testing problems, where the alternative is restricted by at least two linear inequalities. It highlights the geometrical structure of these problems. It gives guidance in the construction of a so-called Circular Likelihood Ratio (CLR) test, which is obtained if the linear inequalities, or polyhedral cone, are replaced by one suitable angular inequality, or circular cone. Such a test will often constitute a nice and easy-to-use compromise between the LR-test and a suitable linear test against the original alternative. The book treats both theory and practice of CLR-tests. For cases with up to 13 linear inequalities, it evaluates the power of CLR-tests, derives the most stringent CLR-test, and provides tables of critical values. It is of interest both to the specialist in order- restricted inference and to the statistical consultant in need of simple and powerful one-sided tests. Many examples are worked out for ANOVA, goodness-of-fit, and contingency table problems. Case studies are devoted to Mokken's one- dimensional scaling model, one-sided treatment comparison in a two-period crossover trial, and some real data ANOVA- layouts (biology and educational psychology).
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Keywords

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Authors and Affiliations

  • Department of Statistical Methods, Central Bureau of Statistics, Heerlen, The Netherlands

    Johan C. Akkerboom

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Bibliographic Information

  • Book Title: Testing Problems with Linear or Angular Inequality Constraints

  • Authors: Johan C. Akkerboom

  • Series Title: Lecture Notes in Statistics

  • DOI: https://doi.org/10.1007/978-1-4612-3392-3

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1990

  • Softcover ISBN: 978-0-387-97232-9Published: 13 March 1990

  • eBook ISBN: 978-1-4612-3392-3Published: 06 December 2012

  • Series ISSN: 0930-0325

  • Series E-ISSN: 2197-7186

  • Edition Number: 1

  • Number of Pages: XII, 291

  • Number of Illustrations: 1 b/w illustrations

  • Topics: Applications of Mathematics

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Buy it now

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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