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AN ALGORITHM FOR THE DESIGN OF 2? FACTORIAL EXPERIMENTS ON CONTINUOUS PROCESSES
Author(s) -
Saunders I.W.,
Eccleston J.A.,
Martin R.J.
Publication year - 1995
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1995.tb00666.x
Subject(s) - factorial experiment , sign (mathematics) , contrast (vision) , fractional factorial design , algorithm , factorial , mathematics , design of experiments , optimal design , computer science , mathematical optimization , statistics , artificial intelligence , mathematical analysis
Summary Saunders & Eccleston (1992) presented an approach to the design of 2‐level factorial experiments for continuous processes. It determined sets of contrasts between the observations that could be well estimated, and then selected a design so that those contrasts estimated the parameters of interest. This paper shows that a well‐estimated contrast must have a large number of changes of sign or level, and also be ‘paired’ in a particular sense. It develops an algorithm which constructs designs that must have a large number of changes of sign, evenly spread among the contrasts and optimal or near optimal. When such designs exist they are often preferable to those produced by the reverse foldover algorithm of Cheng & Steinberg (1991).