The summary of effect aliasing structure for two-level supersaturated and factorial designs
The summary of effect aliasing structure for two-level supersaturated and factorial designs
In the assessment and selection of supersaturated designs, the alias- ing structure of interaction effects is usually ignored in traditional criterion such as E(s2)-optimality. We introduce the Summary of Effect Aliasing Struc- ture (SEAS) for assessing the aliasing structure of supersaturated designs, or fractional factorial designs in general. SEAS takes account of interaction terms and provides more informative summaries than traditional design crite- ria, such as (generalized) resolution and wordlength patterns, for design eval- uations. The new summary consists of three criteria, abbreviated as MAP: (1) the Maximum dependency aliasing (M-)pattern; (2) the Average squared aliasing (A-)pattern; and (3) the Pairwise dependency ratio (P-)pattern. We theoretically study the relationships among the three criteria of SEAS and traditional criteria, and demonstrate the use of SEAS for evaluating and com- paring some examples of supersaturated designs, including those suggested in the literature.
Liao, Yi-Hua
fab94d8b-c718-49f7-a353-e7536096adca
Phoa, Frederick Kin Hing
1ccac953-679f-45db-bc84-7c230197ce47
Woods, Dave C.
ae21f7e2-29d9-4f55-98a2-639c5e44c79c
8 October 2024
Liao, Yi-Hua
fab94d8b-c718-49f7-a353-e7536096adca
Phoa, Frederick Kin Hing
1ccac953-679f-45db-bc84-7c230197ce47
Woods, Dave C.
ae21f7e2-29d9-4f55-98a2-639c5e44c79c
Liao, Yi-Hua, Phoa, Frederick Kin Hing and Woods, Dave C.
(2024)
The summary of effect aliasing structure for two-level supersaturated and factorial designs.
Journal of Statistical Theory and Practice, 18, [53].
(doi:10.1007/s42519-024-00407-1).
Abstract
In the assessment and selection of supersaturated designs, the alias- ing structure of interaction effects is usually ignored in traditional criterion such as E(s2)-optimality. We introduce the Summary of Effect Aliasing Struc- ture (SEAS) for assessing the aliasing structure of supersaturated designs, or fractional factorial designs in general. SEAS takes account of interaction terms and provides more informative summaries than traditional design crite- ria, such as (generalized) resolution and wordlength patterns, for design eval- uations. The new summary consists of three criteria, abbreviated as MAP: (1) the Maximum dependency aliasing (M-)pattern; (2) the Average squared aliasing (A-)pattern; and (3) the Pairwise dependency ratio (P-)pattern. We theoretically study the relationships among the three criteria of SEAS and traditional criteria, and demonstrate the use of SEAS for evaluating and com- paring some examples of supersaturated designs, including those suggested in the literature.
Text
JSTP_accepted
- Accepted Manuscript
Restricted to Repository staff only until 8 October 2025.
Available under License Other.
Request a copy
Text
JSTP_accepted_supplementary
Restricted to Repository staff only
Available under License Other.
Request a copy
More information
Accepted/In Press date: 14 September 2024
Published date: 8 October 2024
Identifiers
Local EPrints ID: 494628
URI: http://eprints.soton.ac.uk/id/eprint/494628
ISSN: 1559-8608
PURE UUID: d921f033-fea0-4057-ad7e-0b094c5e958b
Catalogue record
Date deposited: 11 Oct 2024 16:45
Last modified: 12 Oct 2024 01:45
Export record
Altmetrics
Contributors
Author:
Yi-Hua Liao
Author:
Frederick Kin Hing Phoa
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics
