Boosted Beta Regression

作者: Matthias Schmid , Florian Wickler , Kelly O. Maloney , Richard Mitchell , Nora Fenske

DOI: 10.1371/JOURNAL.PONE.0061623

关键词:

摘要: Regression analysis with a bounded outcome is common problem in applied statistics. Typical examples include regression models for percentage outcomes and the of ratings that are measured on scale. In this paper, we consider beta regression, which generalization logit to situations where response continuous interval (0,1). Consequently, convenient tool analyzing responses. The classical approach fit model use maximum likelihood estimation subsequent AIC-based variable selection. As an alternative established - yet unstable approach, propose new technique called boosted regression. With selection can be carried out simultaneously highly efficient way. Additionally, both mean variance modeled using flexible nonlinear covariate effects. consequence, method accounts problems such as overdispersion non-binomial structures.

参考文章(55)
David Gilvear, James R. Karr and Ellen W. Chu, Restoring Life in Running Waters: Better Biological Monitoring Water Air and Soil Pollution. ,vol. 116, pp. 666- 667 ,(1999) , 10.1023/A:1005167831280
D. Mikis Stasinopoulos, Robert A. Rigby, Generalized Additive Models for Location Scale and Shape (GAMLSS) in R Journal of Statistical Software. ,vol. 23, pp. 1- 46 ,(2007) , 10.18637/JSS.V023.I07
Ellen W. Chu, James R. Karr, Restoring life in running waters : better biological monitoring Island Press. ,(1998)
Kelly O. Maloney, Matthias Schmid, Donald E. Weller, Applying additive modelling and gradient boosting to assess the effects of watershed and reach characteristics on riverine assemblages Methods in Ecology and Evolution. ,vol. 3, pp. 116- 128 ,(2012) , 10.1111/J.2041-210X.2011.00124.X
MARK J. WHITTINGHAM, PHILIP A. STEPHENS, RICHARD B. BRADBURY, ROBERT P. FRECKLETON, Why do we still use stepwise modelling in ecology and behaviour Journal of Animal Ecology. ,vol. 75, pp. 1182- 1189 ,(2006) , 10.1111/J.1365-2656.2006.01141.X
Jerome H. Friedman, Greedy function approximation: A gradient boosting machine. Annals of Statistics. ,vol. 29, pp. 1189- 1232 ,(2001) , 10.1214/AOS/1013203451
P. P. Harper, Louise Cloutier, Spatial Structure of the Insect Community of a Small Dimictic Lake in the Laurentians (Québec) Internationale Revue der gesamten Hydrobiologie und Hydrographie. ,vol. 71, pp. 655- 685 ,(1986) , 10.1002/IROH.19860710505
Luciana Coe Girão, Ariadna Valentina Lopes, Marcelo Tabarelli, Emilio M. Bruna, Changes in Tree Reproductive Traits Reduce Functional Diversity in a Fragmented Atlantic Forest Landscape PLoS ONE. ,vol. 2, pp. e908- ,(2007) , 10.1371/JOURNAL.PONE.0000908