Rank test statistics for umbrella alternatives

DOI10.1080/03610928808829732zbMath0648.62043OpenAlexW2037189815MaRDI QIDQ3793532

Ning-Zhong Shi

Publication date: 1988

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928808829732

zbMATH Keywords

likelihood ratio testconvex conePitman efficiencyumbrella alternativemaximin efficient linear rank testoptimal rank test procedure

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20)

Related Items (9)

Somec-sample rank tests of homogeneity against umbrella alternatives with unknown peak ⋮ Approximating the Level Probabilities for a Unimodal Ordering ⋮ Testing for and against a concavity restriction with normal errors ⋮ Nonparametric tests based on contrasts for d-star, bipartite and broom tree alternatives ⋮ A permutation test for umbrella alternatives ⋮ A modified Mack–Wolfe test for the umbrella alternative problem ⋮ An Automatic Test for the Umbrella Alternatives ⋮ Distribution-free tests for umbrella alternatives ⋮ Distribution-free tests for umbrella alternatives in a randomized block design

Uses Software

• AS 195

Cites Work

• Unnamed Item
• Algorithm AS 195: Multivariate Normal Probabilities with Error Bound
• TESTING A NORMAL MEAN VECTOR AGAINST THE ALTERNATIVE DETERMINED BY A CONVEX CONE
• Algorithm AS 149: Amalgamation of Means in the Case of Simple Ordering
• Tests for Patterned Alternatives in k-Sample Problems
• Most Stringent Somewhere Most Powerful Tests Against Alternatives Restricted by a Number of Linear Inequalities
• Testing Against Ordered Alternatives in Model I Analysis of Variance; Normal Theory and Nonparametric
• Efficient Utilization of Non-Numerical Information in Quantitative Analysis General Theory and the Case of Simple Order

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