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Biometrika 1978 65(3):603-608; doi:10.1093/biomet/65.3.603
© 1978 by Biometrika Trust
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Singularities in the analysis of binomial data

PASCALE ROUSSEAU and DAVID SANKOFF

Centre de recherches mathematiques, Universite de Montreal

Transformed additive models accounting for the factors influencing a binomial probability sometimes give rise to infinite maximum likelihood estimates. Necessary and sufficient conditions for a given pattern of singular estimates to be produced are proved in terms of the scalability of the array of relative frequency data.

Key Words: Binomial probability • Divergent estimate • Guttman scale • Maximum likelihood • Transformed additive model


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