On Some Nonparametric Selection Procedures

Abstract

In many practical situations, the experimenter often faces the problem of comparing several populations, treatments in clinical trials or processes. The selection and ranking method of ranking and selection provides the useful techniques for solving such problems. There have been two main approaches to selection and ranking problems, the indifference zone approach and the subset selection approach. In the indifference zone approach a single population is chosen and is guaranteed to be the best (worst) with probability at least equal to P*. However, in this formulation it is assumed that the best population is sufficiently apart from the remaining k - 1 populations. In the subset selection approach no such restriction on the parameter space is assumed. A random size subset of k populations is chosen which is guaranteed to contain the best (worst) population with probability at least equal to P*. In this approach the data or the outcome of the experiment is used to decide on how many populations to select. Nonparametric statistics; Equations.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1990
Accession Number
ADA223831

Entities

People

  • Sayaji N. Hande
  • Shanti Gupta

Organizations

  • Purdue University

Tags

Communities of Interest

  • C4I
  • Human Systems

DTIC Thesaurus Topics

  • Binomials
  • Clinical Trials
  • Distribution Functions
  • Equations
  • Intervals
  • Military Research
  • Notation
  • Numbers
  • Permutations
  • Probability
  • Random Variables
  • Real Numbers
  • Statistics
  • Universities

Fields of Study

  • Mathematics

Readers

  • Operations Research
  • Regression Analysis.

Technology Areas

  • Space