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The nonorthogonal estimator

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  • Haner, Matthew

Abstract

Classical fractional factorial designs yield biased estimates of a set of parameters when aliased parameters are nonzero. In the early 1960s Ehrenfeld and Zacks constructed Randomization Procedures I and II to remove this bias from estimation of a subset of parameters of a full factorial experiment. The subset of parameters to be estimated using either of these randomization procedures must have a certain group structure and the sample size must be a multiple of the group size. In this paper, we discuss the nonorthogonal estimator which removes these restrictions while producing unbiased estimates in the case of a two-level experiment. Examples are provided.

Suggested Citation

  • Haner, Matthew, 2005. "The nonorthogonal estimator," Statistics & Probability Letters, Elsevier, vol. 73(4), pages 347-356, July.
    • Handle: RePEc:eee:stapro:v:73:y:2005:i:4:p:347-356
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