TY - JOUR
TI - Optimal two treatment circular repeated measurements designs up to four periods
AU - Chasiotis, V.
AU - Kounias, S.
JO - COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
PY - 2021
VL - 50
TODO - 20
SP - 4867-4878
PB - Taylor and Francis Ltd.
SN - 0361-0926
TODO - 10.1080/03610926.2020.1725824
TODO - Communication;  Mathematical techniques;  Statistical methods;  Statistics, Best linear unbiased estimator;  direct effects;  Optimal design;  Repeated measurements;  Residual effects, Optimal systems
TODO - We focus on circular repeated measurements designs with t = 2 treatments, n experimental units, and p = 2, 3, 4 periods. Our aim is to obtain ϕ-optimal designs, for the estimation of contrasts of direct and residual effects jointly, over the class of all designs. Moreover, we are interested in finding designs that minimize the variances of the best linear unbiased estimators of contrasts of direct as well as residual effects over the class of all designs. These results strengthen the work of Magda (1980), and partially the work of Chalikias and Kounias (2017). © 2020 Taylor & Francis Group, LLC.
ER -