• Medientyp: E-Book
  • Titel: Testing Problems with Linear or Angular Inequality Constraints
  • Beteiligte: Akkerboom, Johan C. [VerfasserIn]
  • Erschienen: New York, NY: Springer New York, 1990
  • Erschienen in: Lecture Notes in Statistics ; 62
    SpringerLink ; Bücher
    Springer eBook Collection ; Mathematics and Statistics
  • Umfang: Online-Ressource (XII, 291p. 19 illus, online resource)
  • Sprache: Englisch
  • ISBN: 9781461233923
  • DOI: 10.1007/978-1-4612-3392-3
  • Identifikator:
  • Entstehung:
  • RVK-Notation: QH 233 : Häufigkeitsverteilungen. Stichprobenverteilungen. Schätztheorie. Testtheorie. Statistische Entscheidungstheorie
    SI 856 : Lecture notes in statistics (Springer)
    QH 230 : Allgemeines. Mathematische Statistik in Gesamtdarstellungen
  • Schlagwörter: Statistischer Test > Ungleichung > Nebenbedingung
  • Beschreibung: 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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