书目名称 | Testing Problems with Linear or Angular Inequality Constraints | 编辑 | Johan C. Akkerboom | 视频video | | 丛书名称 | Lecture Notes in Statistics | 图书封面 |  | 描述 | 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 i | 出版日期 | Book 1990 | 关键词 | ANOVA; Variance; analysis of variance; likelihood; multinomial distribution; statistics | 版次 | 1 | doi | https://doi.org/10.1007/978-1-4612-3392-3 | isbn_softcover | 978-0-387-97232-9 | isbn_ebook | 978-1-4612-3392-3Series ISSN 0930-0325 Series E-ISSN 2197-7186 | issn_series | 0930-0325 | copyright | Springer-Verlag Berlin Heidelberg 1990 |
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