# D-optimal designs for estimating the optimum point in a quadratic response surface - rectangular region

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### Cites background or methods from "D-optimal designs for estimating th..."

...The extended D-optimality criterion [ 33 ] is given by...

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...An analytical expression for this criterion can be obtained and optimal designs are computed by Mandal [ 33 ], assuming...

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...Concerning the optimization of (34), except some cases where an analytical expression of the criterion can be obtained (see [ 33 ] and Section 6), there seems to be no alternative to evaluating expectation at each step of the optimization algorithm....

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...We shall see in Section 6 that the criterion (34) coincides with the extended D-optimality criterion of Mandal [ 33 ] defined in the context of quadratic model responses....

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6 citations

### Cites methods from "D-optimal designs for estimating th..."

...Afterwards, several workers contributed in this area for the multifactor case using different optimality criteria (see e.g., Chatterjee and Mandal 1981, 1985; Mandal 1982, 1986, 1989; Mandal and Heiligers 1992; Mukhopadhyay and Sinha 1998; Fedorov and M€uller 1997 and others)....

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### Cites methods from "D-optimal designs for estimating th..."

...From Mandal (1989), we have the following result for D-optimal design to estimate the parameters of the model (2.29): Theorem....

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