Premium
An Exact Test for All‐Way Interaction in A 2 M Contingency Table: Application to Interval Capture–Recapture Estimation of Population Size
Author(s) -
Regal Ronald R.,
Hook Ernest B.
Publication year - 1999
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.0006-341x.1999.01241.x
Subject(s) - contingency table , statistics , interval (graph theory) , mark and recapture , interval estimation , confidence interval , estimation , population , table (database) , log linear model , mathematics , computer science , medicine , linear model , combinatorics , data mining , environmental health , management , economics
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.