Use of log-skew-normal distribution in analysis of continuous data with a discrete component at zero.
The problem of analyzing a continuous variable with a discrete component is addressed within the framework of the mixture model proposed by Moulton and Halsey (Biometrics 1995; 51:1570-1578). The model can be generalized by the introduction of the log-skew-normal distribution for the continuous component, and the fit can be significantly improved by its use, while retaining the interpretation of regression parameter estimates. Simulation studies and application to a real data set are used for demonstration.
Chai
High Seng
HS
Cardiovascular Research, Mayo Clinic, Rochester, MN 55905, USA. chai.high@mayo.edu
Bailey
Kent R
KR
D035843:Biomedical Research / Q000706:statistics & numerical data; D002113:Calcification, Physiologic; D003324:Coronary Artery Disease; D003627:Data Interpretation, Statistical; D006801:Humans; D015233:Models, Statistical; D009010:Monte Carlo Method; D016008:Statistical Distributions