Improved likelihood inference in beta regression

被引:36
作者
Ferrari, Silvia L. P. [1 ]
Pinheiro, Eliane C. [1 ]
机构
[1] Univ Sao Paulo, Dept Estat, BR-05508090 Sao Paulo, Brazil
基金
巴西圣保罗研究基金会;
关键词
beta regression; continuous proportions; likelihood ratio test; nonlinear models; small-sample adjustments; ASYMPTOTICS; MODELS;
D O I
10.1080/00949650903389993
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
We consider the issue of performing accurate small-sample likelihood-based inference in beta regression models, which are useful for modelling continuous proportions that are affected by independent variables. We derive small-sample adjustments to the likelihood ratio statistic in this class of models. The adjusted statistics can be easily implemented from standard statistical software. We present Monte Carlo simulations showing that inference based on the adjusted statistics we propose is much more reliable than that based on the usual likelihood ratio statistic. A real data example is presented.
引用
收藏
页码:431 / 443
页数:13
相关论文
共 22 条
[1]  
[Anonymous], 1999, SPRINGER SCI
[2]  
[Anonymous], 2006, Object-Oriented Matrix Programming Using Ox
[3]  
[Anonymous], 1998, Exponential family nonlinear models
[4]  
[Anonymous], 1983, Generalized Linear Models
[5]  
Atkinson Anthony Curtes, 1985, Plots, transformations and regression
[6]  
an introduction to graphical methods of diagnostic regression analysis
[7]  
Brownlee K. A., 1965, STAT THEORY METHODOL
[8]   ON THE CORRECTIONS TO THE LIKELIHOOD RATIO STATISTICS [J].
CORDEIRO, GM .
BIOMETRIKA, 1987, 74 (02) :265-274
[9]  
CORDEIRO GM, 1991, BIOMETRIKA, V78, P573
[10]  
CRIBARINETO F, 1995, BIOMETRIKA, V82, P426