An Overview of Group Factor Screening

The idea of using a group screening procedure to identify the important or active factors using a small designed experiment was described by Watson (1961) and is now applied in a variety of areas of science and engineering. Watson’s work built on the earlier ideas of Dorfman (1943) for screening pooled samples of blood in order to identify diseased individuals using minimal resources. Generalizations and extensions of Watson’s technique have been developed by a number of authors who have relaxed some of the stringent assumptions of the original work to make the methods more widely applicable to real problems. An overview of some of the proposed screening strategies is presented, including the use of several stages of experimentation, the reuse of runs from earlier stages, and screening techniques for detecting important main effects and interactions

[1]  Angela M. Dean,et al.  TWO-STAGE GROUP SCREENING IN THE PRESENCE OF NOISE FACTORS AND UNEQUAL PROBABILITIES OF ACTIVE EFFECTS , 2005 .

[2]  R. Daniel Meyer,et al.  An Analysis for Unreplicated Fractional Factorials , 1986 .

[3]  Carl A Mauro,et al.  The Performance of Two-Stage Group Screening in Factor Screening Experiments , 1982 .

[4]  Angela M. Dean,et al.  Comparison of group screening strategies for factorial experiments , 2002 .

[5]  Douglas C. Montgomery,et al.  Response Surface Methodology: Process and Product Optimization Using Designed Experiments , 1995 .

[6]  R. Plackett,et al.  THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS , 1946 .

[7]  Max D. Morris,et al.  Two-stage factor screening procedures using multiple grouping assignments , 1987 .

[8]  D. Du,et al.  Combinatorial Group Testing and Its Applications , 1993 .

[9]  J. S. Hunter,et al.  The 2 k—p Fractional Factorial Designs Part I , 2000, Technometrics.

[10]  G. Watson.  A Study of the Group Screening Method , 1961 .

[11]  Walter T. Federer,et al.  On screening samples in the laboratory and factors in factorial investigations , 1987 .

[12]  Mm Manene,et al.  Step-wise group screening designs with errors in observations , 1987 .

[13]  M. S. Patel.  GROUP-SCREENING WITH MORE THAN TWO STAGES , 1962 .

[14]  B.W.M. Bettonvil,et al.  Factor screening by sequential bifurcation , 1988 .

[15]  Jack P. C. Kleijnen,et al.  Review of random and group-screening designs , 1987 .

[16]  S. Lewis,et al.  Detection of interactions in experiments on large numbers of factors , 2001 .

[17]  R. Dorfman.  The Detection of Defective Members of Large Populations , 1943 .

[18]  J. S. Hunter,et al.  The 2 k — p Fractional Factorial Designs , 1961 .