TWO LEVELS ANALYSIS WITH SKEW NORMAL RANDOM EFFECTS AND MODELING OF LONGITUDINAL DATA

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GHOLAMI FESHARAKI MOHAMMAD; KAZEMNEJAD ANOSHIRVAN; ZAYERI FARID

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Journal: JOURNAL OF STATISTICAL SCIENCES Year:2014 | Volume:7 | Issue:2 Page(s): 233-248

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Title

TWO LEVELS ANALYSIS WITH SKEW NORMAL RANDOM EFFECTS AND MODELING OF LONGITUDINAL DATA

Author(s)

GHOLAMI FESHARAKI MOHAMMAD | KAZEMNEJAD ANOSHIRVAN | ZAYERI FARID | Issue Writer Certificate

Keywords

TWO LEVEL MODELINGQ2

SKEW NORMAL DISTRIBUTIONSQ3

BAYESIAN ANALYSISQ3

Abstract

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.

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APA: Copy

GHOLAMI FESHARAKI, MOHAMMAD, KAZEMNEJAD, ANOSHIRVAN, & ZAYERI, FARID. (2014). TWO LEVELS ANALYSIS WITH SKEW NORMAL RANDOM EFFECTS AND MODELING OF LONGITUDINAL DATA. JOURNAL OF STATISTICAL SCIENCES, 7(2), 233-248. SID. https://sid.ir/paper/124096/en

Vancouver: Copy

GHOLAMI FESHARAKI MOHAMMAD, KAZEMNEJAD ANOSHIRVAN, ZAYERI FARID. TWO LEVELS ANALYSIS WITH SKEW NORMAL RANDOM EFFECTS AND MODELING OF LONGITUDINAL DATA. JOURNAL OF STATISTICAL SCIENCES[Internet]. 2014;7(2):233-248. Available from: https://sid.ir/paper/124096/en

IEEE: Copy

MOHAMMAD GHOLAMI FESHARAKI, ANOSHIRVAN KAZEMNEJAD, and FARID ZAYERI, “TWO LEVELS ANALYSIS WITH SKEW NORMAL RANDOM EFFECTS AND MODELING OF LONGITUDINAL DATA,” JOURNAL OF STATISTICAL SCIENCES, vol. 7, no. 2, pp. 233–248, 2014, [Online]. Available: https://sid.ir/paper/124096/en

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