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首页> 外文期刊>journal of statistical computation and simulation >Near-saturated two-stage designs with dispersion effects
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Near-saturated two-stage designs with dispersion effects

机译：Near-saturated two-stage designs with dispersion effects

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Many experimental processes are quite expensive, and traditional factorial or central composite design experiments are beyond the scope of the experimental budget. Situations in which calibrated equipment must be purchased or batches of material created are two examples. In situations like these, experimenters prefer to use saturated or near-saturated response surface designs, such as Koshal designs, hybrid designs, or small composite designs, to reduce the cost of the experimental process.Applications of such near-saturated designs are abundant, but most are applied to processes that assume homogeneous process variance throughout the design region. However, in many situations the assumption of homogeneous process variance is violated, and instead a unknown heterogeneous variance structure must be considered. Traditional statistical procedures involve the application of weighted least squares to analyze the data from such an experiment.This analysis considers the application of a two-stage experimental design procedure developed by Mays and Myers (1997) to the near-saturated designs in cases in which heterogeneous variance exists. The first stage of the two-stage procedure involves an equal replicate design that produces data used to estimate the heterogeneous variance structure. This estimated variance structure is then used to determine a second stage design that augments the first stage design to create a highly efficient total design. A simulation analysis shows that there are situations in which one would want to use a near-saturated design and the two-stage experimental design procedure is superior to a one-stage equal replicate application of the near-saturated designs.

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