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MARCO ENEA

Centile estimation for a proportion response variable

  • Autori: Hossain, A.; Rigby, R.; Stasinopoulos, M.; Enea, M.
  • Anno di pubblicazione: 2016
  • Tipologia: Articolo in rivista (Articolo in rivista)
  • Parole Chiave: Beta inflated distribution; Fractional data; GAMLSS; Generalised Tobit model; Logit skew Student t distribution; Computer Simulation; Humans; Least-Squares Analysis; Logistic Models; Lung; Male; Statistical Distributions; Models, Statistical; Epidemiology; Statistics and Probability
  • OA Link: http://hdl.handle.net/10447/219851

Abstract

This paper introduces two general models for computing centiles when the response variable Y can take values between 0 and 1, inclusive of 0 or 1. The models developed are more flexible alternatives to the beta inflated distribution. The first proposed model employs a flexible four parameter logit skew Student t (logitSST) distribution to model the response variable Y on the unit interval (0, 1), excluding 0 and 1. This model is then extended to the inflated logitSST distribution for Y on the unit interval, including 1. The second model developed in this paper is a generalised Tobit model for Y on the unit interval, including 1. Applying these two models to (1-Y) rather than Y enables modelling of Y on the unit interval including 0 rather than 1. An application of the new models to real data shows that they can provide superior fits.