Centile estimation for a proportion response variable

Hossain, Abu, Rigby, Robert A., Stasinopoulos, Dimitrios and Enea, Marco (2016) Centile estimation for a proportion response variable. Statistics in medicine, 35 (6). pp. 895-904. ISSN 0277-6715

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Abstract / Description

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.

Item Type:	Article
Uncontrolled Keywords:	Beta inflated distribution, Centile Estimation, GAMLSS, generalised Tobit model, LMS, logit skew student t distribution.
Subjects:	500 Natural Sciences and Mathematics > 510 Mathematics
Department:	School of Computing and Digital Media
Depositing User:	Robert Rigby
Date Deposited:	08 May 2019 08:56
Last Modified:	22 Jul 2021 08:14
URI:	https://repository.londonmet.ac.uk/id/eprint/4704

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