Abstract
It is commonly assumed that likelihood based inferences are valid when data are missing at random. In his original work on this topic, Rubin defined precisely the extent to which this statement holds. In particular, the observed but not the expected information matrix can be used for frequentist inference. In the rapidly growing literature on this subject, this fact is not always appreciated. An illustration is given, in the setting of the log-linear model for correlated binary data.
G. Molenberghs is Assistant Professor, Biostatistics, Limburgs Universitair Centrum, Belgium. M.G. Kenward is a Reader in the Institute of Mathematics and Statistics, The University of Kent, UK
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References
Baker, S.G., Rosenberger, W.F., Dersimonian, R. (1992). Closed-form estimates for missing counts in two-way contingency tables. Statistics in Medicine, 11,643–657.
Cox, D. R. (1972). The analysis of multivariate binary data. Applied Statistics, 21 113–120.
Kenward, M.G., Molenberghs, G. (1996). Likelihood based frequentist inference when data are missing at random. Submitted for publication.
Laird, N.M. (1988). Missing data in longitudinal studies. Statistics in Medicine, 7, 305–315.
Little, R.J.A. (1976). Inference about means for incomplete multivariate data. Biometrika, 63 593–604.
Little, R.J.A., Rubin, D.B. (1987) Statistical Analysis with Missing Data. New York: Wiley.
Rubin, D.B. (1976). Inference and missing data. Biometrika, 63 581592.
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© 1997 Springer Science+Business Media New York
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Molenberghs, G., Kenward, M.G. (1997). Calculating the Appropriate Information Matrix for Log-linear Models When Data Are Missing at Random. In: Gregoire, T.G., Brillinger, D.R., Diggle, P.J., Russek-Cohen, E., Warren, W.G., Wolfinger, R.D. (eds) Modelling Longitudinal and Spatially Correlated Data. Lecture Notes in Statistics, vol 122. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0699-6_29
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DOI: https://doi.org/10.1007/978-1-4612-0699-6_29
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