Testing Problems with Linear or Angular Inequality Constraints Softcover Repri Edition Contributor(s): Akkerboom, Johan C. (Author) |
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ISBN: 0387972323 ISBN-13: 9780387972329 Publisher: Springer
Binding Type: Paperback Published: March 1990 Click for more in this series: Lecture Notes in Statistics |
Additional Information |
BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Applied |
Dewey: 519.56 |
LCCN: 90143766 |
Series: Lecture Notes in Statistics |
Physical Information: 0.65" H x 6.69" W x 9.61" L (1.09 lbs) 291 pages |
Features: Illustrated |
Descriptions, Reviews, Etc. |
Publisher Description: 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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