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- catalog abstract "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).".
- catalog contributor b2724083.
- catalog created "1990.".
- catalog date "1990".
- catalog date "1990.".
- catalog dateCopyrighted "1990.".
- catalog description "Contents: Testing Problems with Linear Inequality Constraints -- The Main Problem: Testing Against the Pointed Polyhedral Cone K -- A Modification of the Main Problem Against a Circular Cone -- Circular Likelihood Ratio Tests for the Main Problem -- Applications -- References and Author Index -- Subject Index -- Appendices.".
- catalog description "Includes bibliographical references.".
- catalog 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).".
- catalog extent "xii, 291 p. :".
- catalog hasFormat "Testing problems with linear or angular inequality constraints.".
- catalog identifier "0387972323".
- catalog isFormatOf "Testing problems with linear or angular inequality constraints.".
- catalog isPartOf "Lecture notes in statistics (Springer-Verlag) ; 62.".
- catalog isPartOf "Lecture notes in statistics ; 62".
- catalog issued "1990".
- catalog issued "1990.".
- catalog language "eng".
- catalog publisher "New York : Springer Verlag,".
- catalog relation "Testing problems with linear or angular inequality constraints.".
- catalog subject "Linear models (Statistics)".
- catalog subject "QA277 .I58 1990".
- catalog subject "Statistical hypothesis testing Asymptotic theory.".
- catalog subject "Statistical hypothesis testing.".
- catalog subject "Statistics.".
- catalog tableOfContents "Contents: Testing Problems with Linear Inequality Constraints -- The Main Problem: Testing Against the Pointed Polyhedral Cone K -- A Modification of the Main Problem Against a Circular Cone -- Circular Likelihood Ratio Tests for the Main Problem -- Applications -- References and Author Index -- Subject Index -- Appendices.".
- catalog title "Testing problems with linear or angular inequality constraints.".
- catalog type "text".