The Comparison of Several Response Functions with a Standard.

Abstract

Let (*B sub 0, B sub 1,...,B sub k) be r-dimensional parameters associated with k+1 response models of similar type. In the study the author undertakes the simultaneous comparison of (B sub 1,...,B sub k) against (B sub 0) as standard. Variance ratio statistics are given; their joint distribution is described; and conservative procedures are found using Scheffe type projections onto suitable r-dimensional linear subspaces. Under further structure probability bounds for the joint distribution of the several statistics are given in terms of their marginal distributions. A numerical illustration is provided. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1973
Accession Number
AD0769841

Entities

People

  • Donald R. Jensen

Organizations

  • Virginia Tech

Tags

DTIC Thesaurus Topics

  • Data Science
  • Information Science
  • Mathematics
  • Probability
  • Standards
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.