Augmenting Lehmann Alternatives.

Abstract

Generalized classes of Lehmann alternatives are given and locally most powerful (LMP) tests with respect to these alternatives are derived for the two-sample case. These tests turn out to be linear combinations of Savage's (1956) and the Mann-Whitney-Wilcoxon test. By considering such combination of tests one can increase asymptotic relative efficiency. For certain hypothesis-testing problem, an asymptotically distribution-free test is obtained. These considerations can be extended to one and c(c>2) sample problems.

Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1976
Accession Number
ADA023789

Entities

People

  • Z. Govindarajulu

Organizations

  • University of Kentucky

Tags

DTIC Thesaurus Topics

  • Computing-Related Activities
  • Data Science
  • Efficiency
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Statistical Analysis

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.