On optimality and construction of two-treatment circular cross-over designs

被引：1

作者：

Chasiotis, Vasilis ^{[1
]}

机构：

[1] Aristotle Univ Thessaloniki, Dept Math, Univ Campus, Thessaloniki 54124, Greece

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2023年 / 52卷 / 06期

关键词：

Circular strongly balanced designs; repeated-measurements designs; direct effects; carry-over effects; phi-optimality;

D O I：

10.1080/03610926.2021.1937654

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

The purpose of this article is to determine and construct phi-optimal designs over the class of all circular cross-over designs with two treatments when the number of both periods and experimental subjects is even. We are interested in estimating the contrasts of both direct and carry-over effects jointly, and minimizing the variances of the best linear unbiased estimators of contrasts of direct as well as carry-over effects. These results enrich already existing works in the present literature, strengthening this of Magda (1980), and extending these of Kunert (1984) and Chasiotis and Kounias (2020).

引用

页码：1692 / 1701

页数：10

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