Two-moment approximations to some null distributions in order-restricted inference: Unequal sample sizes

DOI10.2307/3314733zbMath0667.62011OpenAlexW2042865682MaRDI QIDQ3819829

F. T. Wright, Bahadur Singh

Publication date: 1988

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3314733

zbMATH Keywords

order-restricted inferencesimple orderBartholomew's statisticsmixing coefficientsnull distributionsordered alternativestesting homogeneity of normal meanssimple tree orderingtwo-moment approximationapproximations to the significance levelsmixtures of beta-distributionsmixtures of chi-squaredtwo-moment chi-squared and beta approximations

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Parametric hypothesis testing (62F03) Analysis of variance and covariance (ANOVA) (62J10)

Related Items (5)

The power functions of the likelihood ratio tests for a simple tree ordering in normal means: unequal weights ⋮ The power functions of the likelihood ratio tests for a simply ordered trend in normal means ⋮ On power functions of the likelihood ratio tests for the simple loop order in normal means: Unequal sample sizes ⋮ The level probabilities for a simple ordering ⋮ The one-way layout with ordered parameters: a survey of advances since 1988

Cites Work

• Likelihood ratio tests for order restrictions in exponential families
• A TEST OF HOMOGENEITY FOR ORDERED ALTERNATIVES
• Approximating the level probabilities in order restricted inference: The simple tree ordering
• Testing for ordered alternatives with increased precision in one of the samples
• On approximation of the level probabilities and associated distributions in order restricted inference
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