Technometrics · 1961 · 143 citations · 8 references
Public HealthDecision SciencesExperimental DesignGroup ProcessesOptimizationFactor AnalysisFactorial DesignsFalse Negative DetectionFull Factorial DesignsOptimal Group SizePlackett-burman DesignsScreening Designs
This paper discusses the problem of group screening methods wherein f factors are sub-divided into groups of k factors each, forming g “group-factors”. The group factors are then studied using a Plackett and Burman design in Q + 1 runs. The two versions of the group factors are formed by maintaining all component factors at their upper and lonrer levels respectively. All factors in groups found to have a large effects are then studied in a second stage of experiments. The author discusses the problems of detection and false detection of factors, optimum group size, size of program, and the role of costs in this sequential form of experimentation.
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THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS
R. L. Plackett, J. P. Burman · Biometrika · 1946 · 3.8K citations
The Detection of Defective Members of Large Populations
Robert Dorfman · The Annals of Mathematical Statistics · 1943 · 1.7K citations · Full text
Life Sciences, Biology, Genetics +4