Accession Number : ADA114550

Title :   Choice of Response Surface Design and Alphabetic Optimality.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Box,George E P

PDF Url : ADA114550

Report Date : Feb 1982

Pagination or Media Count : 53

Abstract : It is argued that the specification of problem of experimental design (and in particular, of response surface design) should depend on scientific context. The specification for a widely developed theory of 'alphabetic optimality' for response surface applications is analyzed and found to be unduly limiting. Ways in which designs might be chosen to satisfy a set of criteria of greater scientific relevance are suggested. Detailed consideration is given to regions of operability and interest, to the design information function, to sensitivity of criteria to size and shape of the region, and to the effect of bias. Problems are discussed of checking for lack of fit, sequential assembly, orthogonal blocking, estimation of error, estimation of transformations, robustness to bad values, using minimum numbers of points, and employing simple data patterns. (author)

Descriptors :   *Estimates, *Errors, *Experimental design, *Selection, *Data processing, Fitting functions(Mathematics), Response, Bias, Surfaces, Standards, Patterns, Transformations, Sequences, Shape, Regions, Orthogonality, Value

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE