Monte Carlo exact methods used for analysing interethnic unions in Great Britain
Monte Carlo exact methods used for analysing interethnic unions in Great Britain
In the analysis of symmetric intermarriage and social mobility tables, interest is focused on the models of quasi-independence and quasi-symmetry for the off-diagonal cells. Typically, many of the off-diagonal cell counts are small. This causes concern about the validity of using asymptotic tests, and exact tests should be considered. We develop Markov chain Monte Carlo methods for estimating the exact conditional p-value and the exact distribution of the residuals, for quasi-independence and quasi-symmetry. These methods are used to analyse a sparse 10 × 10 symmetric table of interethnic unions, extracted from the 1.
191-202
Smith, Peter W.F.
961a01a3-bf4c-43ca-9599-5be4fd5d3940
McDonald, John W.
9adae16e-e1e1-4ddf-bf4c-7231ee8c1c8e
Forster, Jonathan J.
e3c534ad-fa69-42f5-b67b-11617bc84879
Berrington, Ann M.
bd0fc093-310d-4236-8126-ca0c7eb9ddde
1996
Smith, Peter W.F.
961a01a3-bf4c-43ca-9599-5be4fd5d3940
McDonald, John W.
9adae16e-e1e1-4ddf-bf4c-7231ee8c1c8e
Forster, Jonathan J.
e3c534ad-fa69-42f5-b67b-11617bc84879
Berrington, Ann M.
bd0fc093-310d-4236-8126-ca0c7eb9ddde
Smith, Peter W.F., McDonald, John W., Forster, Jonathan J. and Berrington, Ann M.
(1996)
Monte Carlo exact methods used for analysing interethnic unions in Great Britain.
Journal of the Royal Statistical Society: Series C (Applied Statistics), 45 (2), .
Abstract
In the analysis of symmetric intermarriage and social mobility tables, interest is focused on the models of quasi-independence and quasi-symmetry for the off-diagonal cells. Typically, many of the off-diagonal cell counts are small. This causes concern about the validity of using asymptotic tests, and exact tests should be considered. We develop Markov chain Monte Carlo methods for estimating the exact conditional p-value and the exact distribution of the residuals, for quasi-independence and quasi-symmetry. These methods are used to analyse a sparse 10 × 10 symmetric table of interethnic unions, extracted from the 1.
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Published date: 1996
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Statistics
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Local EPrints ID: 29954
URI: http://eprints.soton.ac.uk/id/eprint/29954
ISSN: 0035-9254
PURE UUID: 019c9224-e427-489b-8e24-ead82f1b6ee7
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Date deposited: 19 Mar 2007
Last modified: 09 Jan 2022 02:46
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Author:
John W. McDonald
Author:
Jonathan J. Forster
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