Projective three-level main effects designs robust to model uncertainty

TY - JOUR

T1 - Projective three-level main effects designs robust to model uncertainty

AU - Tsai, Pi Wen

AU - Gilmour, Steven G.

AU - Mead, Roger

PY - 2000

Y1 - 2000

N2 - This paper is concerned with designing experiments under the assumption that an analysis strategy is used that considers interactions in addition to main effects. A criterion which averages an approximation to As-efficiency over lower-dimensional projections of the design is introduced to compare designs. A columnwise design procedure is used to construct three-level designs for six factors in 18 runs. The projection efficiencies of these designs are explored and compared with designs obtained from the L18 orthogonal array. Results are also given for designs with 14 and 17 runs.

AB - This paper is concerned with designing experiments under the assumption that an analysis strategy is used that considers interactions in addition to main effects. A criterion which averages an approximation to As-efficiency over lower-dimensional projections of the design is introduced to compare designs. A columnwise design procedure is used to construct three-level designs for six factors in 18 runs. The projection efficiencies of these designs are explored and compared with designs obtained from the L18 orthogonal array. Results are also given for designs with 14 and 17 runs.

KW - Fractional factorial design

KW - Response surface methodology

KW - Screening experiment

KW - Taguchi methods

UR - http://www.scopus.com/inward/record.url?scp=3142623256&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:3142623256

SN - 0006-3444

VL - 87

SP - 467

EP - 475

JO - BIOMETRIKA

JF - BIOMETRIKA

IS - 2

ER -