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Methods for diagnosing multiplicative-interaction models for two-way contingency tables. (English) Zbl 0591.62052

Summary: An expanded class of multiplicative-interaction models is proposed for two-way contingency tables. These models, a generalization of Goodman’s association models, fill in the gap between the independence and the saturated models.
Diagnostic rules based on a transformation of the data are proposed for the detection of such models. These rules, utilizing the singular value decomposition of the transformed data, are very easy to use.
Maximum likelihood estimation is considered and the computational algorithms discussed. Two data sets are used to demonstrate the diagnostic rules.

MSC:

62H17 Contingency tables
65C99 Probabilistic methods, stochastic differential equations
62-04 Software, source code, etc. for problems pertaining to statistics

Software:

BMDP
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Full Text: DOI

References:

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