Abstract
In this paper, we construct optimal repeated measurement designs of two treatments for estimating direct effects, and we examine the case of compound symmetry dependency. We present the model and the design that minimizes the variance of the estimated difference of the two treatments. The optimal designs with dependent observations in a compound symmetry model are the same as in the case of independent observations.
Highlights
A sequence of treatments is applied to each experimental unit (e.u.)
The direct effect of a treatment is the effect of the treatment which is applied in the period that is examined
The parameter of interest is the difference of direct effects τ = τA − τB
Summary
A sequence of treatments is applied to each experimental unit (e.u.). The direct effect of a treatment is the effect of the treatment which is applied in the period that is examined. In the case of two treatments, A and B, the direct τA and τB can be estimated. A treatment is applied, so either τA or τB is estimable. Researchers have shown interest in designs with dependent observations, as in the cases of [7,8,9,10,11]. In previous research [14,15] using this model, the author of this article studied two treatment designs under the assumption that consecutive observations were independent. Building on that previous work, in the present article the author examines the case of compound symmetry dependency. The aim is to find a design that corresponds to a minimum variance estimator
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
