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Some classes of orthogonal 2n1×3n2 mixed factorial designs of median-resolution

✍ Scribed by C.T. Liao

Book ID
104301624
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
122 KB
Volume
52
Category
Article
ISSN
0167-7152

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✦ Synopsis

In a 2 n 1 × 3 n 2 mixed factorial experiment, we consider the orthogonal designs of median-resolution which can be used to estimate the grand mean, all main e ects and certain classes of low-order interactions involving at least one of few speciÿed factors, assuming that the other e ects are negligible. Some classes of the desired designs constructed from the class of parallel-ats designs are proposed in this paper.

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## Abstract Generalized Hadamard matrices are used for the construction of a class of quasi‐residual nonresolvable BIBD's with parameters $2\hbox{-}(3^{n}7, 3^{n-1}7, (3^{n-1}7-1)/2), n\ge 2$. The designs are not embeddable as residual designs into symmetric designs if __n__ is even. The constructi