학술논문

Bayesian sample size determination for longitudinal studies with continuous response based on different scientific questions of interest.
Document Type
Article
Source
Journal of Biopharmaceutical Statistics. 2019, Vol. 29 Issue 2, p244-270. 27p. 11 Charts, 21 Graphs.
Subject
*PARTICLE size determination
*BAYESIAN analysis
*STATISTICAL power analysis
*RANDOM effects model
*MEDICAL sciences
Language
ISSN
1054-3406
Abstract
Longitudinal study designs are commonly applied in much scientific research, especially in the medical, social, and economic sciences. Longitudinal studies allow researchers to measure changes in each individual's responses over time and often have higher statistical power than cross-sectional studies. Choosing an appropriate sample size is a crucial step in a successful study. In longitudinal studies, because of the complexity of their design, including the selection of the number of individuals and the number of repeated measurements, sample size determination is less studied. This paper uses a simulation-based method to determine the sample size from a Bayesian perspective. For this purpose, several Bayesian criteria for sample size determination are used, of which the most important one is the Bayesian power criterion. We determine the sample size of a longitudinal study based on the scientific question of interest, by the choice of an appropriate model. Most of the methods of determining sample size are based on the definition of a single hypothesis. In this paper, in addition to using this method, we determine the sample size using multiple hypotheses. Using several examples, the proposed Bayesian methods are illustrated and discussed. [ABSTRACT FROM AUTHOR]