
Accession Number : ADA114476
Title : Cubic Lack of Fit for ThreeLevel Second Order Response Surface Designs.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIVMADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Draper,N R
PDF Url : ADA114476
Report Date : Jan 1982
Pagination or Media Count : 12
Abstract : A recent paper by Box and Draper (1982) discussed the detection of cubic lack of fit in second order composite design experiments, and its possible removal by the use of power transformations in the predictor variables. The designs examined were fivelevel designs whose coded predictor variables could assume levels (alpha, 1, 0, 1, alpha) for alpha not equal 1 (and, typically, alpha equal 1). When alpha equal 1, only three levels exist in the design and certain singularities occur. Cubic interaction contrasts exist, but it becomes impossible to estimate the power transformations, as previously when alpha not equal 1. This note describes how this happens. (Author)
Descriptors : *Predictions, *Transformations(Mathematics), *Experimental design, Fitting functions(Mathematics), Composite structures, Coding, Variables, Interactions, Cubic spline technique, Response
Subject Categories : Statistics and Probability
Distribution Statement : APPROVED FOR PUBLIC RELEASE