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Statistics bibliography 04 - stats

Agresti, A. (2002). Categorical data analysis. 2nd Edn. Wiley, 710 pp. Read [free html]

Alexander, N. et al. (2000).. Spatial modelling of individual-level parasite counts using the negative binomial distribution. Biostatistics 18 (4), 453-463. Read Read [free pdf]

Anscombe, F.J. (1950). Sampling theory of the negative binomial and logarithmic series distributions. Biometrika 37 (3-4), 358-382. Read

Armitage, P. & Berry, G. (2002). Statistical methods in medical research. 4th Edn. Blackwells, Oxford.

Bland, M. (2000). An introduction to medical statistics. 3rd Edition Oxford University Press, Oxford.

Boswell, M.T. & Patil, G.P. (1970). Chance mechanisms generating the negative binomial distributions. pp 3-22 In: Random Counts in Scientific Work. Ed. G.P. Patil, Vol 1, Pennsylvania State University Press, University Park, PA.

Von Bortkiewicz, L. (1898) . Das Gesetz der Kleinen Zahlen. Teubner, Leipzig. 52 pp.

Bliss, C.I. & Fisher, R.A. (1953). Fitting the negative binomial distribution to biological data and a note on the efficient fitting of the negative binomial. Biometrics 9, 176-200. Read

Emerson, R.W. (1899). Essays. First Series: Art. Read

Fisher, R.A. (1941). The asymptotic approach to Behren's integral, with further tables for the d test of significance. Annals of Eugenics, London 10, 48-51. Read

Gotelli, N.J. & Ellison, A,M. (2004). A primer of ecological statistics. Sinauer Assoc Inc, 479 pp.

Griffiths, D.A. (2006). Beyond the bell-shaped curve: Poisson models in spatial data analysis. Geographical Analysis 38 (2), iii-iv. Read

Griffiths, D.A. & Haining, R. (2006). Beyond mule kicks: the Poisson distribution in geographical analysis. Geographical Analysis 38 (2), 123-139. Read

Graham, H. (1899). Ruthless Rhymes for Heartless Homes. Dover Publications. not available on line

Greenwood, M. & Yule, G.U. (1920). An inquiry into the nature of frequency distributions of multiple happenings, with particular reference to the occurrence of multiple attacks of disease or repeated accidents. Journal of the Royal Statistical Society 83 (2), 255-279. Read

Hurlbert, S.H. (1990). Spatial distribution of the montane unicorn. Oikos 58 (3), 257-271. Read

Hilbe, J.M. (2007). Negative binomial regression: Modelling overdispersed count data. Cambridge University Press, 251 pp. [not available in full on line]

Johnson, N. L. et al. (2005). Negative Binomial Distribution. In Univariate Discrete Distributions, 3rd Edn., John Wiley & Sons. Read

Kaplan, J.E. et al. (1986). The use of the binomial distribution in establishing an association between high risk donors and transfusion-associated aids. Statistics in Medicine 5 (4), 355-362. Read

Kendal, W.S. (2004). Taylor's ecological power law as a consequence of scale invariant exponential dispersion models. Ecological Complexity 1 (3), 193-209. Read

Kotz, S. et al. (1992). Univariate discrete distributions. Second Edn. Wiley, New York. [not available in full on line]

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 (2), e180. Read [free html/pdf]

Patil, G.P. & Joshi, S.W. (1968). A Dictionary and Bibliography of Discrete Distributions. Edinburgh: Oliver & Boyd. 268 pp.

Perry, J.N. & Woiwod, I.P. (1992). Fitting Taylor's power law. Oikos 65 (3), 538-542. Read

Pielou, E.C. (1974). Population and community ecology. Gordon & Breach, New York. [not available online]

Poulin, R. (1993). The disparity between observed and uniform distributions: a new look at parasite aggregation. International Journal for Parasitology 23 (7), 937-944. Read

Remington, R.D. & Schork, M.A. (1985). Statistics with applications to the biological and health sciences. 2nd Edn. Prentice Hall, 415 pp.

Routledge, R.D. & Swartz, R.B. (1992). Taylor's Power law re-examined. Oikos 60 (1), 107-111. Read

Sokal, R.R. & Rohlf, F.J. (1995). Biometry. The principles and practice of statistics in biological research. 3rd Edn. Freeman, New York.

Taylor, L.R., Woiwood, I.P. & Perry, J.N. (1979). The negative binomial as a dynamic ecological model for aggregation, and the density dependence of k. Journal of Animal Ecology 48 (1), 289-304. Read

White, G.C. & Bennett, R.E. (1996). Analysis of frequency count data using the negative binomial distribution. Ecology 77 (8), 2549-2557. Read

Williams, C.B. (1944). Some applications of the logarithmic series and the index of diversity to ecological problems. Journal of Ecology 32 (1), 1-44. Read

Westermeier, T. & Michaelis, J. (1995). Applicability of the Poisson distribution to model the data of the German Children's Cancer Registry. Radiation and Environmental Biophysics 34 (1), 7-11. Read

Young, J.H. (1998). Statistical ecology: a population perspective. Springer. 565 pp. [not available in full on line]