References
- Clark , S. J. and Perry , J. N. 1989 . Estimation of the negative binomial parameter κ by maximum quasi-likelihood . Biometrics , 45 : 309 – 316 .
- Cole , L. C. 1946 . A study of the cryptozoa of an Illinois woodland . Ecol. Monogr. , 16 : 50 – 86 .
- Donner , A. and Zou , G. 2002 . Interval estimation for a difference between intraclass kappa statistics . Biometrics , 58 : 209 – 215 .
- Efron , B. 2003 . Second thought on the bootstrap . Stat. Sci. , 18 : 135 – 140 .
- Efron , B. and Tibshirani , R. J. 1993 . An Introduction to the Bootstrap , Boca Raton , FL : Chapman & Hall/CRC .
- Gail , M. H. , Santner , T. J. and Brown , C. C. 1980 . An analysis of comparative carcinogenesis experiments based on multiple times to tumor . Biometrics , 36 : 255 – 266 .
- Janardan , K. G. , Kerster , H. W. and Schaeffer , D. J. 1979 . Biological applications of the lagrangian poisson distribution . Bioscience , 29 : 599 – 602 .
- Kulasekeva , K. B. and Tonkyn , D. W. 1992 . A new discrete distribution, with applications to survival, dispersal and dispersion . Commun. Stat. – Simul. Comput. , 21 : 499 – 518 .
- Lawless , J. F. 1987 . Negative binomial and mixed Poisson regression . Can. J. Stat. , 15 : 209 – 225 .
- Lee , Y. and Nelder , J. A. 1996 . Hierarchical generalized linear models . J. R. Stat. Soc., Ser. B , 58 : 619 – 678 .
- Lee , Y. and Nelder , J. A. 2001 . Hierarchical generalized linear models: A synthesis of generalised linear models, random-effect models and structured dispersions . Biometrika , 88 : 987 – 1006 .
- Lee , J. J. and Tu , Z. N. 1994 . A better confidence interval for kappa (κ) on measuring agreement between two raters with binary outcomes . J. Comput. Graph. Stat. , 3 : 301 – 321 .
- Lloyd-Smith , J. O. 2007 . Maximum likelihood estimation of the negative binomial dispersion parameter for highly overdispersed data, with applications to infectious diseases . PLoS One , 2 : 1 – 8 .
- Paul , S. R. and Banerjee , T. 1998 . Analysis of two-way layout of count data involving multiple counts in each cell . J. Am. Stat. Assoc. , 93 : 1419 – 1429 .
- Piegorsch , W. W. 1990 . Maximum likelihood estimation for the negative binomial dispersion parameter . Biometrics , 46 : 863 – 867 .
- Rao , C. R. and Mukerjee , R. 1997 . Comparison of LR, score, and Wald tests in a non-iid setting . J. Multivariate Anal. , 60 : 99 – 110 .
- Robinson , M. D. and Smyth , G. K. 2008 . Small-sample estimation for the negative binomial dispersion, with applications to SAGE data . Biostatistics , 9 : 321 – 332 .
- Saha , K. K. 2008 . Semiparametric estimation for the dispersion parameter in the analysis of over or under dispersed count data . J. Appl. Stat. , 35 : 1383 – 1397 .
- Saha , K. K. 2011 . Interval estimation of the over-dispersion parameter in the analysis of one-way layout of count data . Stat. Med. , 30 : 39 – 51 .
- Saha , K. K. and Paul , S. R. 2005 . Bias-corrected maximum likelihood estimator of the negative binomial dispersion parameter . Biometrics , 61 : 179 – 185 .
- Saha , K. K. and Paul , S. R. Interval estimation of the negative binomial dispersion parameter . J. Stat. Comput. Simul. , (2011), DOI: 10.1080/00949655.2010.512998
- Shaw , D. J. , Grenfell , B. T. and Dobson , A. P. 1998 . Pattern of macroparasite aggregation in wildlife host populations . Parasitology , 117 : 597 – 610 .
- Thomas , M. 1949 . A generalization of Poisson's binomial limit for use in ecology . Biometrika , 36 : 18 – 25 .
- Venzon , D. J. and Moolgavkar , S. H. 1988 . A method for computing profile-likelihood-based confidence intervals . Appl. Stat. , 37 : 87 – 94 .
- Walther , B. A. and Morand , S. 1998 . Comparative performance of species richness estimation methods . Parasitology , 116 : 395 – 405 .
- White , G. C. and Bennetts , R. E. 1996 . Analysis of frequency count data using the negative binomial distribution . Ecology , 77 : 2549 – 2557 .
- Wilson , K. , Bjornstad , O. N. , Dobson , A. P. , Merler , S. and Poglayen , G. 2001 . “ Heterogeneities in macroparasite infections: Patterns and processes ” . In The Ecology of Wildlife Diseases , Edited by: Hudson , P. J. , Rizzoli , A. , Grenfell , B. T. , Heesterbeek , H. and Dobson , A. P. 6 – 44 . Oxford : Oxford University Press .
- Zou , G. and Donner , A. 2004 . Confidence interval estimation of the intraclass correlation coefficient for binary outcome data . Biometrics , 60 : 807 – 811 .