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JSS 2014, 7(2): 233-248 Back to browse issues page
Two Levels Analysis with Skew Normal Random Effects and Modeling of Longitudinal Data
Mohammad Gholami Fesharaki, Anoshirvan Kazemnejad *, Farid Zayeri
Abstract:   (15246 Views)
In two level modeling, random effect and error's normality assumption is one of the basic assumptions. Violating this assumption leads to incorrect inference about coefficients of the model. In this paper, to resolve this problem, we use skew normal distribution instead of normal distribution for random and error components. Also, we show that ignoring positive (negative) skewness in the model causes overestimating (underestimating) in intercept estimation and underestimating (overestimating) in slope estimation by a simulation study. Finally, we use this model to study relationship between shift work and blood cholesterol.
Keywords: Two Level Modeling, Skew Normal Distributions, Bayesian Analysis
Full-Text [PDF 468 kb]   (2590 Downloads)    
Type of Study: Applied | Subject: Biostatistics
Received: 2013/05/7 | Accepted: 2014/03/17 | Published: 2014/03/17
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Gholami Fesharaki M, Kazemnejad A, Zayeri F. Two Levels Analysis with Skew Normal Random Effects and Modeling of Longitudinal Data. JSS. 2014; 7 (2) :233-248
URL: http://jss.irstat.ir/article-1-206-en.html


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Volume 7, Issue 2 (3-2014) Back to browse issues page
مجله علوم آماری – نشریه علمی پژوهشی انجمن آمار ایران Journal of Statistical Sciences

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