Permutation Theory in the Derivation of Robust Criteria and the Study of Departures from Assumption

Abstract

In the practical circumstances in which statistical procedures are applied, little is usually known of the validity of assumptions such as the normality of the error distribution. Procedures are required which are “robust” (insensitive to changes in extraneous factors not under test) as well as powerful (sensitive to specific factors under test). Permutation theory, which provides one method for deriving robust criteria, is discussed and applied to the problem of comparing variances.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jan 01, 1955
Source ID
10.1111/j.2517-6161.1955.tb00176.x

Entities

People

  • George E. P. Box
  • S. L. Andersen

Organizations

  • Imperial Chemical Industries
  • United States Army

Tags

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.