Optimal partially balanced fractional 2
m
1+m
2 factorial designs of resolution IV |
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Authors: | Masahide Kuwada |
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Institution: | (1) Hiroshima University, Hiroshima, Japan |
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Abstract: | Summary This paper investigates some partially balanced fractional 2
m
1+m
2 factorial designs of resolution IV derived from partially balanced arrays, which permit estimation of the general mean, all
main effects, all two-factor interactions within each set of them
k
factors (k=1, 2) and some linear combinations of the two-factor interactions between the sets of them
k
ones. In addition, optimal designs with respect to the generalized trace criterion defined by Shirakura (1976,Ann. Statist.,4, 723–735) are presented for each pair (m
1,m
2) with 2≦m
1≦m
2 andm
1+m
2≦6, and for values ofN (the number of observations) in a reasonable range.
Partially supported in part by Grants 56530009 (C) and 57530010 (C). |
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Keywords: | Optimal designs resolution partially balanced arrays |
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