Nunes Célia, Moreira Elsa, Ferreira Sandra S, Ferreira Dário, Mexia João T
Department of Mathematics and Center of Mathematics and Applications, University of Beira Interior, Covilhã, Portugal.
CMA - Center of Mathematics and its Applications, Faculty of Science and Technology, New University of Lisbon, Lisbon, Portugal.
J Appl Stat. 2019 Jul 14;47(13-15):2641-2657. doi: 10.1080/02664763.2019.1641188. eCollection 2020.
When applying analysis of variance, the sample sizes may not be previously known, so it is more appropriate to consider them as realizations of random variables. A motivating example is the collection of observations during a fixed time span in a study comparing, for example, several pathologies of patients arriving at a hospital. This paper extends the theory of analysis of variance to those situations considering mixed effects models. We will assume that the occurrences of observations correspond to a counting process and the sample dimensions have Poisson distribution. The proposed approach is applied to a study of cancer patients.
在应用方差分析时，样本量可能事先并不知晓，因此将它们视为随机变量的实现会更为合适。一个具有启发性的例子是，在一项研究中，比如比较前往某医院就诊的患者的几种病症，在固定时间段内收集观测数据。本文将方差分析理论扩展到考虑混合效应模型的那些情形。我们将假定观测值的出现对应一个计数过程，并且样本维度具有泊松分布。所提出的方法应用于一项癌症患者研究。
