D-optimal and highly D-efficient designs with non-negatively correlated observations
نویسندگان
چکیده
In this paper we consider D-optimal and highly D-efficient chemical balance weighing designs. The errors are assumed to be equally non-negatively correlated and to have equal variances. Some necessary and sufficient conditions under which a design is D*-optimal design (regular D-optimal design) are proved. It is also shown that in many cases D*-optimal design does not exist. In many of those cases the designs constructed by Masaro and Wong (2008) and some new designs are shown to be highly D-efficient. Theoretical results are accompanied by numerical search, suggesting D-optimality of designs under consideration.
منابع مشابه
On Highly D-efficient Designs with Non- Negatively Correlated Observations
• In the most difficult case where the number of observations n ≡ 3 (mod 4), high Defficiency of certain chemical balance weighing designs under completely symmetric covariance matrix of errors is shown. It is also proved that D-optimal design may depend on the values of the correlation coefficient.
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ورودعنوان ژورنال:
- Kybernetika
دوره 52 شماره
صفحات -
تاریخ انتشار 2016