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Original Articles

A logistic truncated normal mixture model for overdispersed binomial data

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Pages 349-373 | Received 07 Jan 1997, Published online: 20 Mar 2007

References

  • Abramowitz , M. and Stegun , I. A. , eds. 1964 . “ National Bureau of Standards Applied Mathematics Series ” . In Handbook of Mathematical Functions , Vol. 55 , Washington : U.S. Government Printing Office .
  • Aitkin , M. 1996 . A general maximum likelihood analysis of overdispersion in generalized linear models . Statistics and Computing , 6 : 251 – 262 .
  • Akaike , H. 1973 . “ Information theory and an extension of the maximum likelihood principle ” . In Second International Symposium on Information Theory , Edited by: Petrov , B. N. and Csaki , F. 267 – 281 . Budapest : Akademia Kaido .
  • Akaike , H. 1974 . A new look at the statistical model identification . IEEE Transactions on Automatic Control , AC-19 : 716 – 723 .
  • Anderson , D. A. 1988 . Some models for overdispersed binomial data . Australian Journal of Statistics , 30 : 125 – 148 .
  • Anscombe , F. J. 1948 . The transformation of Poisson, binomialand negative-binomial data . Biometrika , 35 : 246 – 254 .
  • Bliss , C. I. and Stevens , W. L. 1937 . The calculation of the time-mortality curve . Annals of Applied Biology , 24 : 815 – 852 .
  • Bock , R. D. and Lieberman , M. 1970 . Fitting a response model for n dichotomously scored items . Psychometrika , 35 : 179 – 197 .
  • Collett , D. 1991 . Modelling binary data , London : Chapman and Hall .
  • Crouch , E. A. C. and Spiegelman , D. 1990 . The evaluation of integrals of the form : application to logistic-normal models . Journal of the American Statistical Association , 85 : 464 – 469 .
  • Efron , B. 1987 . Better bootstrap confidence intervals . Journal of the American Statistical Association , 82 : 171 – 185 .
  • Galbraith , R. F. 1988 . Graphical display of estimates having differing standard errors . Technometrics , 30 : 271 – 281 .
  • Galbraith , R. F. 1990 . The radial plot: graphical assessment of spread in ages . Nuclear Tracks and Radiation Measurements , 17 : 207 – 214 .
  • Galbraith , R. F. 1994 . Some applications of radial plots . Journal of the American Statistical Association , 89 : 1232 – 1242 .
  • Galbraith , R. F. and Green , P. F. 1990 . Estimating the component ages in a finite mixture . Nuclear Tracks and Radiation Measurements , 17 : 197 – 206 .
  • Galbraith , R. F. and Laslett , G. M. 1993 . Statistical models for mixed fission track ages . Nuclear Tracks and Radiation Measurements , 21 : 459 – 470 .
  • Goodwin , E. T. 1949 . The evaluation of integrals of the form . . Proceedings of the Cambridge Philosophical Society , 45 : 241 – 245 .
  • Goutis , C. 1993 . Recovering extra-binomial variation . Journal of Statistical Computation and Simulation , 45 : 233 – 242 .
  • Johnson , N. L. and Kotz , S. 1970 . Continuous Univariate Distributions , Boston : Houghton Mifflin .
  • Kahaner , D. K. , Tietjen , G. L. and Beckman , R. J. 1982 . Gaussian-quadrature formulas for . Journal of Statistical Computation and Simulation , 15 : 155 – 160 .
  • Liu , Q. and Pierce , D. A. 1994 . A note on Gauss-Hermite Quadrature . Biometrika , 81 : 624 – 629 .
  • Morgan , B. J. T. 1992 . Analysis of Quantal Response Data , London , U.K. : Chapman and Hall .
  • Press , W. H. , Teukolsky , S. A. , Vetterling , W. T. and Flannery , B. P. 1992 . Numerical Recipes: the art of scientific computing , Cambridge : Cambridge University Press .
  • Schwarz , G. 1978 . Estimating the dimension of a model . Annals of Statistics , 6 : 461 – 464 .
  • Sobel , E. R. and Dumitru , T. A. 1997 . Thrusting and exhumation around the margins of the western Tarim basin during the India-Asia collision . Journal of Geophysical Research , 102 : 5043 – 5063 .
  • Statistical Sciences, Inc. 1992 . S-plus User's Manual, Version 3.1. , Seattle, Washington : Statistical Sciences, Inc. .
  • Steen , N. M. , Byrne , G. D. and Gelbard , E. M. 1969 . Gaussian quadrature for the integrals and . Mathematics of Computation , 23 : 661 – 671 .
  • van der Touw , J. W. , Galbraith , R. F. and Laslett , G. M. A four parameter model for mixed fission track ages. DMS Technical Report No. DMS-D96/46 . pp. 44 CSIRO Division of Mathematics and Statistics .
  • Wang , P. , Puterman , M. L. , Cockburn , I. and Le , N. 1996 . Mixed Poisson regression models with covariate dependent rates . Biometrics , 52 : 381 – 400 .
  • Williams , D. A. 1982 . Extra-binomial variation in logistic linear models . Applied Statistics , 31 : 144 – 148 .

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