Abstract
In this paper we consider the exact D-optimal designs for estimation of the unknown parameters in the two factors, each at only two-level, main effects model with autocorrelated errors. The vector of the n random errors in the observed responses is assumed to follow a first-order autoregressive model (AR(1)). The exact D-optimal designs seek the optimal combinations of the design levels as well as the optimal run orders, so that the determinant of the information matrix of BLUE’s for the unknown parameters is maximized. Bora-Senta and Moyssiadis (1999) gave some conjectures about the exact D-optimal designs based on their experience of several exhaustive searches. In this paper their conjectures are partially proved to be true.
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Received: January 2003 / Accepted: October 2003
Partially supported by the National Science Council of Taiwan, R.O.C. under grant NSC 91-2115-M-008-013.
Supported in part by the National Science Council of Taiwan, R.O.C. under grant NSC 89-2118-M-110-003.
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Yeh, HG., Huang, MN. On exact D-optimal designs with 2 two-level factors and n autocorrelated observations . Metrika 61, 261–275 (2005). https://doi.org/10.1007/s001840400336
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DOI: https://doi.org/10.1007/s001840400336