Tests of Residuals in the Additive Analysis of a Two-Way Table -- a Suggested Computer Program.

Abstract

After the customary additive analysis of a two-way table has been performed, leading to Fisher's analysis of variance, the residuals can be used to test goodness of fit of the standard linear model. Tests for nonnormality of the errors can be constructed from sums of third and fourth powers of the residuals. Tests for heteroscedasticity can be constructed by doing regression of squared residuals on fitted values or on indicators for rows or columns. Some moments of the test statistics can be found and used in approximate tests. A computer program in APL is shown and illustrated.

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1974
Accession Number
ADA009242

Entities

People

  • Diccon R. E. Bancroft
  • Francis J. Anscombe
  • William J. Glynn

Organizations

  • Yale University

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Analysis Of Variance
  • Computer Programs
  • Computers
  • Data Science
  • Indicators
  • Information Science
  • Residuals
  • Standards
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Regression Analysis.