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 -