Oliveira Sandra, Nunes Célia, Moreira Elsa, Fonseca Miguel, Mexia João T
Department of Economics and Management, Polytechnic Institute of Setúbal, Setúbal, Portugal.
CMA - Center of Mathematics and its Applications, Faculty of Science and Technology, Nova University of Lisbon, Lisbon, Portugal.
J Appl Stat. 2019 Oct 16;47(13-15):2737-2748. doi: 10.1080/02664763.2019.1679097. eCollection 2020.
Factorial designs are in general more efficient for experiments that involve the study of the effects of two or more factors. In this paper we consider a factorial model with factors, each one having a prime number of levels. We consider a balanced ( replicates per treatment) prime factorial with fixed effects. Our goal is to extend these models to the case where it is not possible to known in advance the number of treatments replicates, . In these situations is more appropriate to consider as a realization of a random variable , which will be assumed to be geometrically distributed. The proposed approach is illustrated through an application considering simulated data.
对于涉及研究两个或更多因素影响的实验，析因设计通常更有效。在本文中，我们考虑一个具有(k)个因素的析因模型，每个因素都有一个素数水平。我们考虑一个具有固定效应的平衡（每个处理有(r)次重复）素数析因设计。我们的目标是将这些模型扩展到事先无法知道处理重复次数(r)的情况。在这些情况下，更适合将(r)视为随机变量(R)的一个实现，假设(R)服从几何分布。通过一个考虑模拟数据的应用来说明所提出的方法。
