Considering the sample sizes as truncated Poisson random variables in mixed effects models

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Abstract

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.

Original languageEnglish
JournalJournal of Applied Statistics
Early online dateJul 2019
DOIs
Publication statusE-pub ahead of print - Jul 2019

Keywords

  • cancer registries
  • counting processes
  • F-tests
  • L extensions models
  • mixed effects
  • Random sample sizes

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