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Biometrika 1986 73(3):717-721; doi:10.1093/biomet/73.3.717
© 1986 by Biometrika Trust
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MISCELLANEA

Tests for underlying Markovian structure from panel data with partially aggregated states

ROLF SUNDBERG

Institute of Actuarial Mathematics and Mathematical Statistics, University of Stockholm S-113 85 Stockholm, Sweden

For dichotomous longitudinal panel data assumed to have been generated by a Markov chain but with only one of its states identifiable, the likelihood ratio and related tests for underlying Markovian structure are studied. It is shown that the likelihood ratio may be written as a product of conditionally independent likelihood ratios for testing independence in certain contingency tables, given margins. The tests are illustrated on data from malaria and schistosomiasis surveys.

Key Words: Contingency table • Incomplete data • Likelihood ratio • Malaria • Schistosomiasis


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