### Abstract

Split-plot experiments are appropriate when some factors are more difficult and/or expensive to change than others. They require two levels of randomization resulting in a non-independent error structure. The design of such experiments has garnered much recent attention, including work on exact D-optimal split-plot designs. However, many of these procedures rely on the a priori assumption that the form of the regression function is known. We relax this assumption by allowing a set of model forms to be specified, and use a scaled product criterion along with an exchange algorithm to produce designs that account for all models in the set. We include also a generalization which allows weights to be assigned to each model, though they appear to have only a slight effect. We present two examples from the literature, and compare the scaled product designs with designs optimal for a single model. We also discuss a maximin alternative.

Original language | English (US) |
---|---|

Pages (from-to) | 4111-4121 |

Number of pages | 11 |

Journal | Computational Statistics and Data Analysis |

Volume | 56 |

Issue number | 12 |

DOIs | |

State | Published - Dec 1 2012 |

### Fingerprint

### All Science Journal Classification (ASJC) codes

- Statistics and Probability
- Computational Mathematics
- Computational Theory and Mathematics
- Applied Mathematics

### Cite this

*Computational Statistics and Data Analysis*,

*56*(12), 4111-4121. https://doi.org/10.1016/j.csda.2012.03.010