The Effects of Errors in the Factor Levels and Experimental Design

George E. P. Box

49 citations0/0 files storedTechnometrics

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Optimal Experimental Design Methods Statistical Methods and Applications Advanced Statistical Methods and Models

Abstract

For the case of one variable Berkson has shown that a standard statistical analysis can be justified even when the levels of the independent variable x are subject to error provided that the response relationship is linear in x. parallel result is true for any number of independent variables. For a non-linear relationship the effect depends on the design chosen. The two-level factorials and fractionals and also particular partially duplicated fractionals are remarkably robust with respect to errors in the x's. This paper, which appeared originally in the Bulletin of the International Statistical Institute, Vol. XXXVIII: Part III, Tokyo, 1961, pp. 339–355, is reprinted in Technometrics with the kind permission of the author and the editors of the Bulletin of the International Statistics Institute.

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1961The 2k—pFractional Factorial Designs 2000The 2 k-p Fractional Factorial Designs Part I 1943THE FRACTIONAL REPLICATION OF FACTORIAL ARRANGEMENTS

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