Systematic enumeration of definitive screening designs
article
Conference designs are n×k matrices, k ≤ n,with orthogonal columns, one zero in each column, at most one zero in each row, and−1 and+1 entries elsewhere. Conference designs with k = n are called conference matrices. Definitive screening designs (DSDs) are constructed by folding over a conference design and adding a row vector of zeros.We proposemethodology for the systematic enumeration of conference designs with a specified number of rows and columns, and thereby for the systematic enumeration of the corresponding DSDs. We demonstrate its potential by enumerating all conference designs with up to 24 rows and columns, and thus all DSDs with up to 49 runs. A large fraction of these DSDs cannot be obtained from conference matrices and is therefore new to the literature. We identify DSDs that minimize the correlation among contrast vectors of second-order effects and provide them in supplementary files.
TNO Identifier
978194
Source
Statistics and Computing, 32
Publisher
Springer
Article nr.
109
Place of publication
Heidelberg, Germany
Files
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