
Accession Number : AD0779442
Title : Robust Designs.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Box,George E. P. ; Draper,Norman R.
Report Date : APR 1974
Pagination or Media Count : 23
Abstract : An experimental design for fitting the regression model Y = X beta + epsilon can be judged good by various criteria, fourteen of which are enumerated. One of these is that the design should be insensitive to wild observations. This situation is discussed from the points of view of parameter estimation and response estimation. It is shown that a suitable measure of design sensitivity to wild observations can be defined which is closely related to r, the sum of squares of diagonal elements of the matrix R = X(X'X) sup(1)X', so that the quantity r can be used as a basic design criterion when guarding against wild observations. The use of r is illustrated by applying it to families of composite designs to select the best design in stated circumstances. (Author)
Descriptors : *EXPERIMENTAL DESIGN, ESTIMATES, REGRESSION ANALYSIS, LEAST SQUARES METHOD
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE