Subset Selection Procedures in Analysis of Variance.

Abstract

In most of the practical situations to which the analysis of variance tests are applied, they do not supply the information that the experimenter aims at. If, for example, the hypothesis is rejected in actual application of the F-test, the resulting conclusion that the true means (theta sub 1), (theta sub 2),...,(theta sub k) are not all equal, would by itself usually the insufficient to satisfy the experimenter. In fact his problems would begin at this stage. He may desire to select the 'best' population or a subset of the 'best' populations; he may like to rank the populations in order of 'bestness' or he may like to draw some other inferences about the parameters of interest to him. The authors interest lies in selecting a non-empty subset of the k populations containing the 'best' population as ranked in terms of (theta sub i's).

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1975
Accession Number
ADA016033

Entities

People

  • Deng Yuang Huang
  • Shanti Gupta

Organizations

  • Purdue University

Tags

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Computing-Related Activities
  • Cooperation
  • Data Science
  • Group Dynamics
  • Information Science
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematics
  • Psychology

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference