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DOI | 10.1371/journal.pone.0061623 |
Boosted Beta Regression | |
Schmid, Matthias1; Wickler, Florian2; Maloney, Kelly O.3; Mitchell, Richard4; Fenske, Nora2; Mayr, Andreas1 | |
发表日期 | 2013-04-23 |
ISSN | 1932-6203 |
卷号 | 8期号:4 |
英文摘要 | Regression analysis with a bounded outcome is a common problem in applied statistics. Typical examples include regression models for percentage outcomes and the analysis of ratings that are measured on a bounded scale. In this paper, we consider beta regression, which is a generalization of logit models to situations where the response is continuous on the interval (0,1). Consequently, beta regression is a convenient tool for analyzing percentage responses. The classical approach to fit a beta regression model is to use maximum likelihood estimation with subsequent AIC-based variable selection. As an alternative to this established - yet unstable - approach, we propose a new estimation technique called boosted beta regression. With boosted beta regression estimation and variable selection can be carried out simultaneously in a highly efficient way. Additionally, both the mean and the variance of a percentage response can be modeled using flexible nonlinear covariate effects. As a consequence, the new method accounts for common problems such as overdispersion and non-binomial variance structures. |
语种 | 英语 |
WOS记录号 | WOS:000318008400070 |
来源期刊 | PLOS ONE |
来源机构 | 美国环保署 |
文献类型 | 期刊论文 |
条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/60444 |
作者单位 | 1.Univ Erlangen Nurnberg, Dept Med Informat Biometry & Epidemiol, D-91054 Erlangen, Germany; 2.Univ Munich, Dept Stat, Munich, Germany; 3.USGS Leetown Sci Ctr, Wellsboro, PA USA; 4.USEPA Off Wetlands Oceans & Watersheds, Washington, DC USA |
推荐引用方式 GB/T 7714 | Schmid, Matthias,Wickler, Florian,Maloney, Kelly O.,et al. Boosted Beta Regression[J]. 美国环保署,2013,8(4). |
APA | Schmid, Matthias,Wickler, Florian,Maloney, Kelly O.,Mitchell, Richard,Fenske, Nora,&Mayr, Andreas.(2013).Boosted Beta Regression.PLOS ONE,8(4). |
MLA | Schmid, Matthias,et al."Boosted Beta Regression".PLOS ONE 8.4(2013). |
条目包含的文件 | 条目无相关文件。 |
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