Low Median and Least Absolute Residual Analysis of Two-Way Tables.

Abstract

Some properties of and extensions to Tukey's method of median polish, an exploratory robust additive decomposition of a two-way table, are presented using the low median. If the table entries are rational numbers, then this modified iteration process must stop after a finite number of steps. However, even for tables of bounded dimension the number of iterations can be arbitrarily large. For the special case of 3 by 3 tables, the sum of absolute residuals is often (but not always) minimized by median polish, especially for tables with strong row or column effects. Methods designed to supplement the polishing process by increasing the number of zero residuals and to obtain a least absolute solution are developed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1982
Accession Number
ADA113796

Entities

People

  • Andrew F. Siegel

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Additives (Chemicals)
  • Computing-Related Activities
  • Convergence
  • Curve Fitting
  • Data Analysis
  • Data Science
  • Decomposition
  • Estimators
  • Iterations
  • Military Research
  • Numbers
  • Perturbations
  • Polishes
  • Random Variables
  • Rational Numbers
  • Residuals
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Regression Analysis.