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Visualizing Count Data Regressions Using Rootograms

  • Christian Kleiber

    ()

  • Achim Zeileis

    ()

We show how the rootogram - a graphical tool associated with the work of J. W. Tukey and originally used for assessing goodness of fit of univariate distributions - can help to diagnose and treat issues such as overdispersion and/or excess zeros in regression models for count data. Two empirical illustrations, from ethology and from public health, are included. The former employs a negative binomial hurdle regression, the latter a two-component finite mixture of negative binomial models for which weighted versions of rootograms are utilized.

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File URL: http://eeecon.uibk.ac.at/wopec2/repec/inn/wpaper/2014-20.pdf
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Paper provided by Faculty of Economics and Statistics, University of Innsbruck in its series Working Papers with number 2014-20.

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Length: 21
Date of creation: Jul 2014
Date of revision:
Handle: RePEc:inn:wpaper:2014-20
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  1. Mullahy, John, 1997. "Heterogeneity, Excess Zeros, and the Structure of Count Data Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 337-50, May-June.
  2. R. A. Rigby & D. M. Stasinopoulos, 2005. "Generalized additive models for location, scale and shape," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 54(3), pages 507-554.
  3. Friedrich Leisch, . "FlexMix: A General Framework for Finite Mixture Models and Latent Class Regression in R," Journal of Statistical Software, American Statistical Association, vol. 11(i08).
  4. Deb, Partha & Trivedi, Pravin K, 1997. "Demand for Medical Care by the Elderly: A Finite Mixture Approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 12(3), pages 313-36, May-June.
  5. Bettina Grün & Friedrich Leisch, . "FlexMix Version 2: Finite Mixtures with Concomitant Variables and Varying and Constant Parameters," Journal of Statistical Software, American Statistical Association, vol. 28(i04).
  6. repec:cup:cbooks:9781107667273 is not listed on IDEAS
  7. John Fox, . "Effect Displays in R for Generalised Linear Models," Journal of Statistical Software, American Statistical Association, vol. 8(i15).
  8. Cameron, A. Colin & Trivedi, Pravin K., 1990. "Regression-based tests for overdispersion in the Poisson model," Journal of Econometrics, Elsevier, vol. 46(3), pages 347-364, December.
  9. Mullahy, John, 1986. "Specification and testing of some modified count data models," Journal of Econometrics, Elsevier, vol. 33(3), pages 341-365, December.
  10. D. Mikis Stasinopoulos & Robert A. Rigby, . "Generalized Additive Models for Location Scale and Shape (GAMLSS) in R," Journal of Statistical Software, American Statistical Association, vol. 23(i07).
  11. Achim Zeileis & Christian Kleiber & Simon Jackman, . "Regression Models for Count Data in R," Journal of Statistical Software, American Statistical Association, vol. 27(i08).
  12. repec:cup:cbooks:9781107014169 is not listed on IDEAS
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