An exact test for all-way interaction in a 2M contingency table: application to interval capture-recapture estimation of population size.
An exact conditional test for an M-way log-linear interaction in a fully observed 2M contingency table is formulated. From this is derived a procedure for interval estimation of the total count N in a 2M contingency table, one of whose entries is unobserved. This procedure has an immediate application to interval estimation of the size of a closed population from incomplete, overlapping lists of records, as in capture-recapture analysis of epidemiological data. Data on the prevalence of spina bifida in live births in upstate New York in 1969-1974 illustrate this application.
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Department of Mathematics and Statistics, University of Minnesota, Duluth, USA.
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D001699:Biometry; D004812:Epidemiologic Methods; D006801:Humans; D007231:Infant, Newborn; D015233:Models, Statistical; D009518:New York / Q000453:epidemiology; D011156:Population Density; D016135:Spinal Dysraphism / Q000453:epidemiology