TY - JOUR

T1 - Characterizing projected designs

T2 - Repeat and mirror-image runs

AU - Draper, Norman R.

AU - Lin, Dennis K.J.

PY - 1995/1/1

Y1 - 1995/1/1

N2 - Two-level designs are useful to examine a large number of factors in an efficient manner. It is typically anticipated that only a few factors will be identified as important ones. The results can then be reanalyzed using a projection of the original design, projected into the space of the factors that matter. An interesting question is how many intrinsically different type of projections are possible from an initial given design. We examine this question here for the Plackett and Burman screening series with N = 12, 20 and 24 runs and projected dimensions k≤5. As a characterization criterion, we look at the number of repeat and mirror-image runs in the projections. The idea can be applied to any two-level design projected into fewer dimensions.

AB - Two-level designs are useful to examine a large number of factors in an efficient manner. It is typically anticipated that only a few factors will be identified as important ones. The results can then be reanalyzed using a projection of the original design, projected into the space of the factors that matter. An interesting question is how many intrinsically different type of projections are possible from an initial given design. We examine this question here for the Plackett and Burman screening series with N = 12, 20 and 24 runs and projected dimensions k≤5. As a characterization criterion, we look at the number of repeat and mirror-image runs in the projections. The idea can be applied to any two-level design projected into fewer dimensions.

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U2 - 10.1080/03610929508831521

DO - 10.1080/03610929508831521

M3 - Article

AN - SCOPUS:0000250211

VL - 24

SP - 775

EP - 795

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

SN - 0361-0926

IS - 3

ER -