
Accession Number : ADA113796
Title : Low Median and Least Absolute Residual Analysis of TwoWay 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 twoway 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