A New Proof of Admissibility of Tests in the Multivariate Analysis of Variance.

Abstract

A new proof of admissibility of tests in MNOVA is given using stein's theorem (1956). The convexity condition of Stein's theorem is proved directly by means of majorization rather than by the supporting hyperplane approach. This makes the geometrical meaning of the admissibility result clearer. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADA097110

Entities

People

  • Akimichi Takemura
  • Theodore W. Anderson

Organizations

  • Stanford University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Analysis Of Variance
  • Classification
  • Confidence Limits
  • Covariance
  • Data Science
  • Information Science
  • Maximum Likelihood Estimation
  • Military Research
  • Multivariate Analysis
  • New York
  • Probability
  • Random Variables
  • Statistical Algorithms
  • Statistical Analysis
  • Statistical Inference
  • Statistics
  • United States

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.