[R-sig-ME] discrete data model classification
Maciej Swat
maciej.swat at gmail.com
Thu Nov 8 14:31:39 CET 2012
Hi,
I am interested in the classification of discrete data models.
The classification below I came up with is strongly based on Agresti (2002), Dobson (2002) and Plan et al. (2009), the last one compares different count-data models as used in pharmacometrics.
There are probably much more complex classifications, not only restricted to GLMs, out there but that's what I found out so far based on mentioned references.
Any comments, corrections and suggestions would be very appreciated.
Best Regards,
Maciej
1 Categorical data – Logit models
1.1 Binary response
1.1.1 Single explanatory variabel
e.g. Linear probability model, Logistic regression model
1.1.2 Multiple explanatory variabels
e.g. General logistic regression model
1.2 Multi-category response
1.2.1 Nominal response variables
e.g. Reference category logit model
1.2.2 Ordinal response variables – cumulative logit
e.g. Cumulative logit model, Proportional odds model, Adjacent category logit model, Continuation ratio logit model
1.2.3 Ordinal response variables – cumulative link
2 Categorical data – other models
e.g. Probit model, Log-log model
3 Count data
e.g. Poisson model, Poisson model with Markovian elements, Poisson model with mixture distribution, Negative Binomial model, Zero inflated model, Generalized Poisson model
4 Time-to-event
• Proportional hazard model, Weibull model
Agresti, A. (2002). Categorical data analysis. Wiley-Interscience, New York, 2nd ed edition.
Dobson, A. J. (2002). An introduction to generalized linear models. Chapman & Hall/CRC texts in statistical science 8 series. Chapman & Hall/CRC, Boca Raton, 2nd ed edition.
Plan, E. L., Maloney, A., Trocóniz, I. F., and Karlsson, M. O. (2009). Performance in population models for count 15 data, part i: maximum likelihood approximations. J Pharmacokinet Pharmacodyn, 36(4):353–66.
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