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A simulation study for a class of central composite designs with nested sub-experiment

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Abstract

This article introduces a class of central composite designs with nested sub-experiment, which allow for the estimation of both response surface effects (fixed effects of crossed factors) and variance components arising from nested random effects. An iterated least squared method using sufficient statistics is given for obtaining maximum likelihood estimates of the parameters in a mixed model. Simulation results show that advantages for unbalanced designs are greatest when error variance is small.

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Authors and Affiliations

  1. Department of Statistics, Tunghai University, Taichung, 40704, Taiwan

    Pao-sheng Shen

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  1. Pao-sheng Shen
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Correspondence to Pao-sheng Shen.

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Shen, Ps. A simulation study for a class of central composite designs with nested sub-experiment. Comput Stat 24, 481–495 (2009). https://doi.org/10.1007/s00180-008-0142-8

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  • DOI: https://doi.org/10.1007/s00180-008-0142-8

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