 Addition or deletion?Aloke Dey and Chand K. Midha Statistics & Probability Letters, 1998, vol. 37, issue 4, 409-414 Abstract: Suppose it is desired to have an optimal' resolution III fraction of a 2p factorial in N runs where N [reverse not equivalent] 2 (mod 4). A design for this purpose can be obtained by adding two runs optimally to the n x p matrix derived by a suitable choice of p columns of Hn, a Hadamard matrix of order n. Alternatively, one can think of deleting two runs in an optimal manner from the (n + 4) x p matrix derived from Hn+4. A natural question then arises: do these two strategies give designs that are equally efficient in terms of a well defined optimality criterion? We show that for p = 2 or 3, the design obtained by deletion is as good as the addition design under the A- or the D-optimality criterion. However, for p [greater-or-equal, slanted] 4, the performance of the deletion design compared to the optimal addition design is rather poor as per the D-criterion, especially for large values of p. Under the A-criterion, the addition design is always better than the deletion design for p [greater-or-equal, slanted] 4, but the loss of efficiency using the deletion design is not too large for moderate values of p. Keywords: Resolution; III; fractions; Optimality (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:stapro:v:37:y:1998:i:4:p:409-414 Ordering information: This journal article can be ordered from Access Statistics for this article Statistics & Probability Letters is currently edited by Somnath Datta and Hira L. Koul More articles in Statistics & Probability Letters from Elsevier |
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