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Original Articles

Analysis of count data with covariate dependence in both mean and variance

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Pages 2683-2694 | Received 20 Jul 2010, Accepted 07 Feb 2010, Published online: 20 Apr 2011

References

  • Aranda-Ordaz , F. J. 1981 . On two families of transformations to additivity for binary response data . Biometrika , 68 : 357 – 363 .
  • Bailer , A. J. and Oris , J. T. 1997 . Estimating inhibition concentrations for different response scales using Generalized Linear Models . Environ. Toxicol. Chem. , 16 : 1554 – 1559 .
  • Ball , F. 1995 . A note on variation in birth processes . Math. Scient. , 20 : 50 – 55 .
  • Bates , D. and Maechler , M. 2009 . Matrix: sparse and dense matrix classes and methods R package version 0.999375–21
  • Brown , T. C. and Donnelly , P. 1993 . On conditional intensities and on interparticle correlation in non-linear death processes . Adv. Appl. Probab. , 25 : 255 – 260 .
  • Chapman , M. G. , Underwood , A. J. and Skilleter , G. A. 1995 . Variability at different spatial scales between a subtidal assemblage exposed to the discharges of sewage and two control assemblages . J. Exp. Mar. Biol. Ecol. , 189 : 103 – 122 .
  • Elder , J. A. , Carter , W. H. Jr. , Gennings , C. and Elswick , R. K. Jr. 1999 . A quasi likelihood approach for overdispersed binomial data when N is unobserved . J. Agric. Biol. Environ. Statist. , 4 : 102 – 115 .
  • Faddy , M. J. 1997 . Extended Poisson process modelling and analysis of count data . Biomet. J. , 39 : 431 – 440 .
  • Faddy , M. J. , Brown , J. and Commins , P. 2001 . Likelihood-based modelling and analysis of possum trapping data . J. Agric. Biol. Environ. Statist. , 6 : 235 – 242 .
  • Faddy , M. J. and Smith , D. M. 2008 . Extended Poisson process modelling of dilution series data . Appl. Statist. , 57 : 461 – 471 .
  • Fenlon , J. S. and Faddy , M. J. 2006 . Modelling predation in functional response . Ecol. Model. , 198 : 154 – 162 .
  • Hilbe , J. M. 2011 . Negative Binomial Regression , 2 , Cambridge : Cambridge University Press .
  • Kim , D. K. and Taylor , J. M.G. 1994 . Transform-both-sides approach for over-dispersed binomial data when N is unobserved . J. Amer. Statist. Assoc. , 89 : 833 – 845 .
  • 2006 . MATLAB, Version 7.2 , MA Natick : The MathWorks Inc .
  • Morgan , B. J.T. 1992 . Analysis of Quantal Response Data , London : Chapman and Hall .
  • Podlich , H. M. , Faddy , M. J. and Smyth , G. K. 2004 . Semi-parametric extended Poisson process models for count data . Statist. Comput. , 14 : 311 – 321 .
  • R Development Core Team . 2009 . R: A Language and Environment for Statistical Computing , R Foundation for Statistical Computing, Vienna
  • Rigby , R. A. , Stasinopoulos , D. M. and Akantziliotou , C. 2008 . A framework for modelling overdispersed count data, including the Poisson-shifted generalized inverse Gaussian distribution . Comput. Statist. Data Anal. , 53 : 381 – 393 .
  • Rodríguez-Avi , J. , Conde-Sánchez , A. , Sáez-Castillo , A. J. , Olmo-Jiménez , M. J. and Martínez-Rodríguez , A. M. 2009 . A generalized Waring regression model for count data . Comput. Statist. Data Anal. , 53 : 3717 – 3725 .
  • 2009 . SAS Version 9.2 , Cary, NY : SAS Institute .
  • Warwick , R. M. and Clarke , K. R. 1993 . Increased variability as a symptom of stress in marine communities . J. Exp. Mar. Biol. Ecol. , 172 : 215 – 226 .

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