Rotation designs for experiments in high-bias situations

Dizza Bursztyn*, David M. Steinberg

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


Many experiments in the physical and engineering sciences study complex processes in which bias due to model inadequacy dominates random error. A noteworthy example of this situation is the use of computer experiments, in which scientists simulate the phenomenon being studied by a computer code. Computer experiments are deterministic: replicate observations from running the code with the same inputs will be identical. Such high-bias settings demand different techniques for design and prediction. This paper will focus on the experimental design problem introducing a new class of designs called rotation designs. Rotation designs are found by taking an orthogonal starting design D and rotating it to obtain a new design matrix DR=DR, where R is any orthonormal matrix. The new design is still orthogonal for a first-order model. In this paper, we study some of the properties of rotation designs and we present a method to generate rotation designs that have some appealing symmetry properties.

Original languageAmerican English
Pages (from-to)399-414
Number of pages16
JournalJournal of Statistical Planning and Inference
Issue number2
StatePublished - 1 Sep 2001
Externally publishedYes

Bibliographical note

Funding Information:
This research was supported by a grant from the Israeli Science Foundation.


  • 62K15
  • Computer experiments
  • Factorial designs
  • Foldover pairs
  • Orthogonal designs
  • Projectivity
  • Response surface designs
  • Symmetric designs


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