A note on D-optimal chemical balance weighing designs with autocorrelated observations

Łukasz Smaga ()
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Łukasz Smaga: Adam Mickiewicz University

Statistical Papers, 2016, vol. 57, issue 3, No 9, 730 pages

Abstract: Abstract In this paper, D-optimal chemical balance weighing designs with three objects are considered. The error terms are assumed to form a first-order autoregressive process, which implies that the covariance matrix of the vector of errors depends on the known parameter $$\rho $$ ρ . It is shown that the designs constructed by Katulska and Smaga (Metrika 76:393–407, 2013) are still D-optimal weighing designs with three objects under a wider interval of possible values for parameter $$\rho $$ ρ than that considered in that paper. Those designs are also proved to be highly D-efficient designs, when D-optimal design is not known.

Keywords: Autoregressive observations; Chemical balance weighing design; D-efficiency; D-optimality; 62K05; 05B20 (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s00362-015-0676-0

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