On the Power Functions of Test Statistics in Order Restricted Inference.

Abstract

We study the power functions of both the likelihood ratio and contrast statistics for detecting a totally ordered trend in a collection of means of normal populations. Monotonicity properties are found and both radial limits and limits along lines parallel to the cone of points satisfying the trend are examined. An optimal contrast test for testing a trend as a null hypothesis is derived. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1984
Accession Number
ADA147126

Entities

People

  • F. T. Wright
  • H. Mukerjee
  • T. Robertson

Organizations

  • University of Iowa

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Convex Sets
  • Coordinate Systems
  • Data Science
  • Distribution Functions
  • Hilbert Space
  • Inequalities
  • Information Science
  • Integrals
  • Numbers
  • Probability
  • Probability Distributions
  • Random Variables
  • Statistical Algorithms
  • Statistical Inference
  • Statistics
  • Theorems

Fields of Study

  • Mathematics

Readers

  • Combustion and Flow Dynamics.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms