Testing Whether one Regression Function is Everywhere Larger than Another.

Abstract

The problem of testing whether one regression function is larger than another on a specified compact set R is considered. The regression functions must be linear functions of the parameters but need not be linear functions of the independent variables. The proposed test statistic is compared to a standard t percentile. The test has an exactly specified size in typical situations. Properties of the power function of the test are investigated. The related question of comparing a regression function to a specified function is also considered. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA112212

Entities

People

  • Roger L. Berger

Organizations

  • Florida State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Body Weight
  • Computer Programming
  • Linear Programming
  • Mathematical Programming
  • Military Research
  • Nonlinear Programming
  • Normal Distribution
  • Probability
  • Random Variables
  • Rejection
  • South Carolina
  • Square Roots
  • Standards
  • Statistics
  • Theorems
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.