Summary
A unified approach to statistical modelling is proposed through direct likelihood inference. An example is given for the choice of a regression model for a complex cross-classification.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Aitkin, M. (1978). The analysis of unbalanced cross-classifications(with Discussion) J.Roy. Statist.Soc.A 141 195–223.
Aitkin, M. (1979). A simultaneous test procedure for contingency table models. Appl.Statist 28 233–242.
Aitkin, M. (1980). A note on the selection of log-linear models. Biometrics 36 173–178.
Aitkin, M. (1982). Logit models for the contigency table analysis of large-scale survey data: the direct likelihood interpretation of G2 for goodness-of-fit in large sparse tables, and its implication for model selection. Interface XIV Proceedings (to appear).
Anscombe, F.J. (1964). Normal likelihood functions. Ann.Inst.Statist.Math. 26 1–19.
Barnard, G.A. (1949). Statistical inference (with Discussion). J.Roy.Statist.Soc.B 13 46–64.
Barnard, G.A., Jenkins, G.M. and Winsten, C.B. (1962). Likelihood inference and time series (with Discussion). J.Roy.Statist.Soc.A 125 321–372.
Edwards, A.W.F. (1972). Likelihood. Cambridge University Press.
Fisher, R.A. (1912). On an absolute criterion for fitting frequency curves. Mess. Math. 41 155–160.
Fisher, R.A. (1934). Two new properties of mathematical likelihood. Proc.Roy.Soc.A 144 285–307.
Kalbfleisch, J.D. and Sprott, D.A. (1970). Application of likelihood methods to models involving large numbers of parameters (with Discussion). J.Roy.Statist Soc.B 32 175–208.
Kendall, M.G. and Stuart, A. (1973). The Advanced Theory of Statistics. Vol.3. (3rd edn.) New York: Hafner.
Miller, R.G. (1966). Simultaneous Statistical Inference. New York: McGraw-Hill
Spjøtvoll, E. (1977). Alternatives to plotting Cp in multiple regression. Biometrika 64 1–8.
Sprott, D.A. and Kalbfleisch, J.D. (1969). Examples of likelihoods and comparisons with point estimates and large sample approximations. J.Amer.Statist.Assoc 64 468–484.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1982 Springer-Verlag New York Inc.
About this paper
Cite this paper
Aitkin, M. (1982). Direct Likelihood Inference. In: Gilchrist, R. (eds) GLIM 82: Proceedings of the International Conference on Generalised Linear Models. Lecture Notes in Statistics, vol 14. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-5771-4_8
Download citation
DOI: https://doi.org/10.1007/978-1-4612-5771-4_8
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90777-2
Online ISBN: 978-1-4612-5771-4
eBook Packages: Springer Book Archive