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Comparisons of augmented pairs designs and subset designs

Research output: Contribution to journalArticle

Tanvir Ahmad, Steven G. Gilmour, Hafiz Muhammad Arshad

Original languageEnglish
Number of pages24
JournalCommunications in Statistics: Simulation and Computation
Early online date9 Dec 2018
Publication statusE-pub ahead of print - 9 Dec 2018


King's Authors


A response surface design from one of the classes available in the literature can be a natural choice for many experimenters. Augmented Pairs designs were constructed for modeling second order response surfaces and shown to have several desirable properties. Here, Augmented Pairs designs for 3–6 factors are compared with designs of the same size selected from the class of Subset Designs. Designs are compared on the basis of different information based optimality criteria and graphical criteria in spherical and cuboidal regions. Many useful subset designs of the same size are better than the AP design. The user can think of a variety of properties to make a better choice of designs of a particular size from among these two classes.

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