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Biometrika 1977 64(2):265-269; doi:10.1093/biomet/64.2.265
© 1977 by Biometrika Trust
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A comparison of iterative methods for obtaining maximum likelihood estimates in contingency tables with a missing diagonal

B. J. T. MORGAN and D. M. TITTERINGTON

Mathematical Institute, University of Kent Canterbury
Department of Statistics, University of Glasgow

This paper considers maximum likelihood estimation for the parameters of quasiindepen-dence in a contingency table with a miiming or excluded diagonal. Two of the methods discussed derive from the em algorithm of Dempster, Laird & Rubin (1977), the other two methods being Newton-Raphson and iterative scaling. Iterative scaling is found, empirically, to be the least efficient method.

Key Words: Convergence • em algorithm • Iterative scaling • Mover-stayer • Newton—Raphson • Quasiindependence


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