D-optimality and \(D_ n\)-optimal designs for mixture regression models with logarithmic terms (Q1118301)
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scientific article; zbMATH DE number 4094612
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | D-optimality and \(D_ n\)-optimal designs for mixture regression models with logarithmic terms |
scientific article; zbMATH DE number 4094612 |
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D-optimality and \(D_ n\)-optimal designs for mixture regression models with logarithmic terms (English)
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1987
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Considered are the two logarithmic regression models \[ E(y)=\sum^{q}_{i=1}(\beta_ ix_ i+\gamma_ i \ln x_ i)\quad and\quad E(y)=\sum^{q}_{i=1}(\beta_ ix_ i+\gamma_ i \ln x_ i)+\sum^{q}_{i<j}\beta_{ij}x_ ix_ j \] over an experimental region with mixture- and boundary-restrictions. The authors present (without any theoretical analysis) the results of a computer search for D-optimal designs (exact and approximate) based on the Fedorov-Wynn algorithm.
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mixture regression models
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mixture experiments
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logarithmic regression models
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mixture- and boundary-restrictions
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computer search for D-optimal designs
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Fedorov-Wynn algorithm
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