Accession Number : ADA113796

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

Descriptive Note : Technical rept.,

Corporate Author : PRINCETON UNIV NJ DEPT OF STATISTICS

Personal Author(s) : Siegel,Andrew F

PDF Url : ADA113796

Report Date : Feb 1982

Pagination or Media Count : 23

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)

Descriptors :   *Data reduction, *Estimates, *Tables(Data), Residuals, resistance, Decomposition, Iterations, Problem solving, Convergence, Data processing

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE