Two third-order rotatable designs in four dimensions

Huda, S.

doi:10.1016/0378-3758(83)90042-3

Cited by 8 publications

(2 citation statements)

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“…Conjecturally I-optimal 12-run design for cubic regression in square. These designs are very much smaller than the third-order designs available up to now (compare Bagchi, 1986;Huda, 1982Huda, , 1983; and the references given there). For example the smallest four-dimensional design presented in these papers has 60 runs.…”

Section: Examples Than Beingmentioning

confidence: 88%

A new approach to the construction of optimal designs

Hardin

Sloane

1993

Journal of Statistical Planning and Inference

128

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By combining a modified version of Hooke and Jeeves' pattern search with exact or Monte Carlo moment calculations, it is possible to find I-, D-and A-optimal (or nearly optimal) designs for a wide range of response-surface problems. The algorithm routinely handles problems involving the minimization of functions of 1000 variables, and so for example can construct designs for a full quadratic response-surface depending on 12 continuous process variables. The algorithm handles continuous or discrete variables, linear equality or inequality constraints, and a response surface that is any low degree polynomial. The design may be required to include a specified set of points, so a sequence of designs can be obtained, each optimal given that the earlier runs have been made. The modeling region need not coincide with the measurement region. The algorithm has been implemented in a program called gosset, which has been used to compute extensive tables of designs. Many of these are more efficient than the best designs previously known.

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Section: Examples Than Beingmentioning

confidence: 88%

A new approach to the construction of optimal designs

Hardin

Sloane

1993

Journal of Statistical Planning and Inference

128

View full text Add to dashboard Cite

show abstract

“…It is often hard to select a design with a suitably small number of points due to the several moment conditions that must be satisfied simultaneously. Specific discussions are given by Adhikary and Panda (1984, 1986, Arap Koske and Patel (1989), Bagchi (1986), Draper (1960a,b;1961), Gardiner, Grandage and Hader (1959), Herzberg (1964Herzberg ( , 1967, Huda (1981Huda ( , 1982a1983, 1984, 1987a1988, Mukerjee and Huda (1985), Narasimham and Rao (1980), Nigam (1967), Panda (1982), Panda and Das Roy (1990b), Thaker and Das (1961), and Tyagi (1964).…”

Section: Third Order Rotatability Of Experimental Designsmentioning

confidence: 99%