Change-in-ratio estimators for populations with more than two subclasses

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Change-in-ratio methods have been developed to estimate the size of populations with two or three population subclasses. Most of these methods require the often unreasonable assumption of equal sampling probabilities for individuals in all subclasses. This paper presents new models based on the weaker assumption that ratios of sampling probabilities are constant over time for populations with three or more subclasses. Estimation under these models requires that a value be assumed for one of these ratios when there are two samples. Explicit expressions are given for the maximum likelihood estimators under models for two samples with three or more subclasses and for three samples with two subclasses. A numerical method using readily available statistical software is described for obtaining the estimators and their standard errors under all of the models. Likelihood ratio tests that can be used in model selection are discussed. Emphasis is on the two-sample, three-subclass models for which Monte-Carlo simulation results and an illustrative example are presented.

Additional publication details

Publication type Article
Publication Subtype Journal Article
Title Change-in-ratio estimators for populations with more than two subclasses
Series title Biometrics
DOI 10.2307/2532404
Volume 47
Issue 4
Year Published 1991
Language English
Publisher Wiley
Contributing office(s) Alaska Science Center, Alaska Science Center Biology MFEB
Description 16 p.
First page 1531
Last page 1546