PMID- 26434649 OWN - NLM STAT- MEDLINE DCOM- 20161031 LR - 20161230 IS - 1097-0258 (Electronic) IS - 0277-6715 (Linking) VI - 35 IP - 6 DP - 2016 Mar 15 TI - Centile estimation for a proportion response variable. PG - 895-904 LID - 10.1002/sim.6748 [doi] AB - 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. CI - Copyright (c) 2015 John Wiley & Sons, Ltd. FAU - Hossain, Abu AU - Hossain A AD - STORM, London Metropolitan University, London, U.K. FAU - Rigby, Robert AU - Rigby R AD - STORM, London Metropolitan University, London, U.K. FAU - Stasinopoulos, Mikis AU - Stasinopoulos M AD - STORM, London Metropolitan University, London, U.K. FAU - Enea, Marco AU - Enea M AD - University of Palermo, Palermo, Italy. LA - eng PT - Journal Article DEP - 20151004 PL - England TA - Stat Med JT - Statistics in medicine JID - 8215016 SB - IM MH - Computer Simulation MH - Humans MH - Least-Squares Analysis MH - Logistic Models MH - Lung/*physiology MH - Male MH - *Models, Statistical MH - Statistical Distributions OTO - NOTNLM OT - GAMLSS OT - beta inflated distribution OT - fractional data OT - generalised Tobit model OT - logit skew Student t distribution EDAT- 2015/10/06 06:00 MHDA- 2016/11/01 06:00 CRDT- 2015/10/06 06:00 PHST- 2015/01/05 00:00 [received] PHST- 2015/09/06 00:00 [accepted] PHST- 2015/10/06 06:00 [entrez] PHST- 2015/10/06 06:00 [pubmed] PHST- 2016/11/01 06:00 [medline] AID - 10.1002/sim.6748 [doi] PST - ppublish SO - Stat Med. 2016 Mar 15;35(6):895-904. doi: 10.1002/sim.6748. Epub 2015 Oct 4.