An Automatic Test for the Umbrella Alternatives

DOI10.1111/sjos.12231zbMath1373.62202OpenAlexW2421171425MaRDI QIDQ2835312

Grzegorz Wyłupek

Publication date: 2 December 2016

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

Full work available at URL: https://doi.org/10.1111/sjos.12231

zbMATH Keywords

two-sample testROC curvesnonparametric testumbrella ordering\(k\)-sample problemordered alternatives

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Asymptotic properties of nonparametric inference (62G20) Applications of statistics to biology and medical sciences; meta analysis (62P10)

Cites Work

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• A permutation test for umbrella alternatives
• Nonparametric tests for stochastic ordering
• Two-Sample Test Against One-Sided Alternatives
• Distribution-free tests for umbrella alternatives
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• Notes on the Mack‐Wolfe and Chen‐Wolfe Tests for Umbrella Alternatives
• A new nonparametric test for the ordered alternative problem
• Tests for Patterned Alternatives in k-Sample Problems
• Data-Driven Tests for Trend
• A Flexible Nonparametric Test for Ordered and Umbrella Alternatives
• Somec-sample rank tests of homogeneity against umbrella alternatives with unknown peak
• ROC Graphs for Assessing the Ability of a Diagnostic Marker to Detect Three Disease Classes with an Umbrella Ordering
• Weak Convergence of a Two-sample Empirical Process and a New Approach to Chernoff-Savage Theorems

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