Systematic enumeration of definitive screening designs

Systematic enumeration of definitive screening designs

Schoen, E.D.
Eendebak, P.T.
Vazquez, A.R.
Goos, P.

2022

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.

Conference matrix
Generalized aberration
Isomorphism class
Sequential enumeration

http://resolver.tudelft.nl/uuid:42ee3253-a544-478b-b106-7d7b9da5be21

https://doi.org/10.1007/s11222-022-10171-6

978194

Springer, Heidelberg, Germany

Statistics and Computing, 32 (32)

article