ROBUST ESTIMATION OF REGRESSION PARAMETERS IN FACTORIAL EXPERIMENTS.

Abstract

For factorial experiments robust point estimators are proposed for the regression parameters in the two-factor linear regression model. Each estimate is the median of a set of slopes between certain pairs of the design points. The test statistics on which they are based are of the form of Hoeffding's U-statistics. The estimators obey two useful invariance properties and are unbiased. The estimators are also asymptotically normally distributed and asymptotically independent. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1970
Accession Number
AD0710993

Entities

People

  • John D. Lees
  • P. V. Rao

Organizations

  • University of Florida

Tags

DTIC Thesaurus Topics

  • Combinatorial Analysis
  • Computing-Related Activities
  • Data Science
  • Estimators
  • Information Science
  • Interdisciplinary Science
  • Invariance
  • Mathematical Analysis
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.
  • Statistical inference.