An Exact Test for All-Way Interaction in A 2 ^M Contingency Table: Application to Interval Capture–Recapture Estimation of Population Size

Ronald R. Regal

Department of Mathematics and Statistics, University of Minnesota, Duluth, Minnesota, U.S.A.

Ernest B. Hook

School of Public Health, University of California at Berkeley, Warren Hall, M.C. 7360, Berkeley, California 94720-7360, U.S.A., and Department of Pediatrics, University of California, San Francisco, California, U.S.A. email: [email protected]

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Ronald R. Regal,

Ronald R. Regal

Department of Mathematics and Statistics, University of Minnesota, Duluth, Minnesota, U.S.A.

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Ernest B. Hook,

Ernest B. Hook

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First published: 25 May 2004

https://doi.org/10.1111/j.0006-341X.1999.01241.x

Citations: 2

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Abstract

Summary. An exact conditional test for an M-way log-linear interaction in a fully observed 2^M contingency table is formulated. Prom this is derived a procedure for interval estimation of the total count N in a 2 ^M 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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Volume55, Issue4

December 1999

Pages 1241-1246

An Exact Test for All-Way Interaction in A 2 ^M Contingency Table: Application to Interval Capture–Recapture Estimation of Population Size

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An Exact Test for All-Way Interaction in A 2 M Contingency Table: Application to Interval Capture–Recapture Estimation of Population Size

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An Exact Test for All-Way Interaction in A 2 ^M Contingency Table: Application to Interval Capture–Recapture Estimation of Population Size