“…Fully parametric regression models are widely used for the sound-carious transitions inside the oral cavity, where tooth surfaces are clustered within children, and such methods are preferred in many caries data analyses (Hannigan et al, 2001, Baelum et al, 2003, Leroy et al, 2005a,b, Stephenson et al, 2010. In particular for the interval-censored data, parametric modeling is preferred to non-fully parametric models such as the Cox proportional hazards model (Leroy et al, 2005a), and parametric models may lead to more precise inferences than those arising from semiparametric methods (Baelum et al, 2003).The log-logistic distribution selected for the parametric competing risk models was parameterized in an accelerated failure time setting and was found to describe caries data well in permanent dentition (Hannigan et al, 2001). Leroy et al, (2005a,b) used multivariate survival analysis for the identification of factors, like caries in primary molars, with cavity formation of first permanent molars in a follow-up study with the EBD-fashion.…”