文章基本信息

标题：On balanced minimal repeated measurements designs
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作者：Shakeel Ahmad Mir
期刊名称：Pakistan Journal of Statistics and Operation Research
印刷版ISSN：2220-5810
出版年度：2014
卷号：10
期号：3
页码：289-298
DOI：10.1234/pjsor.v10i3.668
语种：English
出版社：College of Statistical and Actuarial Sciences
摘要：Repeated Measurements designs are concerned with scientific experiments in which each experimental unit is assigned more than once to a treatment either different or identical. This class of designs has the property that the unbiased estimators for elementary contrasts among direct and residual effects are obtainable. Afsarinejad (1983) provided a method of constructing balanced Minimal Repeated Measurements designs p < t , when t is an odd or prime power, one or more than one treatment may occur more than once in some sequences and designs so constructed no longer remain uniform in periods. In this paper an attempt has been made to provide a new method to overcome this drawback. Specifically, two cases have been considered RM[t,n=t(t-t)/(p-1),p], λ 2 =1 for balanced minimal repeated measurements designs and RM[t,n=2t(t-t)/(p-1),p], λ 2 =2 for balanced repeated measurements designs. In addition , a method has been provided for constructing extra-balanced minimal designs for special case RM[t,n=t 2 /(p-1),p], λ 2 =1.
关键词：Balanced Minimal Repeated Measurements design;Extra-balanced Repeated Measurements design;Uniform Repeated Measurements design;Cross-over designs ;direct effects;residual effects.