Factor Changes and Linear Trends in Eight-Run Two-Level Factorial Designs

Norman R. Draper · David M. Stoneman

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Optimal Experimental Design Methods Statistical Methods and Applications Simulation Techniques and Applications

Abstract

Eight-run two level factorial and fractional factorial designs are examined from two points of view: (1) the number of levels which must be changed in performing the design, (2) the effect of a first order time trend on the main effects. It is found that only a few run orders are desirable from these viewpoints and thus randomization of the runs is likely, in general, to lead to an unfavorable sequence.

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2000The 2 k-p Fractional Factorial Designs Part I 1961The 2 k-p Fractional Factorial Designs Part I 1961The 2 k-p Fractional Factorial Designs Part II

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1976Designing Experiments When Run Order Is Important 1991Trend Robust Two-Level Factorial Designs 1974Some Run Orders Requiring a Minimum Number of Factor Level Changes for the 2 4 and 2 5 Main Effect Plans 1972Recent Developments in the Design of Factorial Experiments

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