A defense of the likelihood ratio test for one-sided and order-restricted alternatives

DOI10.1016/S0378-3758(02)00251-3zbMath1095.62502OpenAlexW2055246009MaRDI QIDQ1866195

Michael D. Perlman, Lang Wu

Publication date: 3 April 2003

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(02)00251-3

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Hypothesis testing in multivariate analysis (62H15) Parametric inference under constraints (62F30)

Related Items (11)

Testing order restrictions in contingency tables ⋮ Permutation Anderson–Darling Type and Moment-Based Test Statistics for Univariate Ordered Categorical Data ⋮ On the validity of the likelihood ratio and maximum likelihood methods ⋮ Moment-based multivariate permutation tests for ordinal categorical data ⋮ A note on the power superiority of the restricted likelihood ratio test ⋮ The emperor's new tests. (With comments and a rejoinder). ⋮ Bootstrap tests for multivariate directional alternatives ⋮ The role of reversals in order-restricted inference ⋮ A discussion of some inference issues in order restricted models ⋮ Graphical comparison of multivariate nonparametric location tests for restricted alternatives ⋮ Accurate Critical Constants for the One-Sided Approximate Likelihood Ratio Test of a Normal Mean Vector When the Covariance Matrix Is Estimated

Cites Work

• Unnamed Item
• A note on testing two-dimensional normal mean
• Likelihood ratio tests for order restrictions in exponential families
• Order-restricted inference for monotone trend alternatives in contingency tables.
• The likelihood ratio test for simple tree order: A useful asymptotic expansion
• Directional tests for one-sided alternatives in multivariate models
• The emperor's new tests. (With comments and a rejoinder).
• Properties of likelihood inference for order restricted models
• Testing Whether an Identified Treatment Is Best
• TESTING THE NULL HYPOTHESIS THAT A NORMAL MEAN VECTOR LIES IN THE POSITIVE ORTHANT
• Testing the hypothesis of a nonrmal mean lying outside a convex cone
• A Unified Approach to Likelihood Inference on Stochastic Orderings in a Nonparametric Context
• On The Design and Analysis of Randomized Clinical Trials with Multiple Endpoints
• A Complete Class Theorem for Multidimensional One-Sided Alternatives
• Testing Multiparameter Hypotheses

This page was built for publication: A defense of the likelihood ratio test for one-sided and order-restricted alternatives