Rank-Order Tests for the Parallelism of Several Regression Surfaces.

Abstract

For testing the hypothesis that several (s > or = 2) linear regression surfaces X sub ki = alpha sub k + beta sub k c sub ki + Z sub ki (k = 1,...,s) are parallel to one another, i.e., beta sub 1 = ... = Beta sub s, a class of rank-order tests are considered. The tests are shown to be asymptotically distribution-free, and their asymptotic efficiency relative to the general likelihood ratio test is derived. Asymptotic optimality in the sense of Wald is also discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1981
Accession Number
ADA097166

Entities

People

  • Ching-yuan Chiang
  • Madan L. Puri

Organizations

  • Indiana University Bloomington

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Facilities
  • Computations
  • Data Science
  • Distribution Functions
  • Efficiency
  • Information Science
  • Mathematics
  • New York
  • Normal Distribution
  • Order Statistics
  • Random Variables
  • Statistics
  • Theorems
  • United States
  • Universities

Fields of Study

  • Mathematics

Readers

  • Statistical inference.