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Generating contingency tables with fixed marginal probabilities and dependence structures described by loglinear models

Generating contingency tables with fixed marginal probabilities and dependence structures described by loglinear models
Generating contingency tables with fixed marginal probabilities and dependence structures described by loglinear models
We present a method to generate contingency tables that follow loglinear models with prescribed marginal probabilities and dependence structures. We make use of (loglinear) Poisson regression, where the dependence structures, described using odds ratios, are implemented using an offset term. We apply this methodology to carry out simulation studies in the context of population size estimation using dual system and triple system estimators, popular in official statistics. These estimators use contingency tables that summarise the counts of elements enumerated or captured within lists that are linked. The simulation is used to investigate these estimators in the situation that the model assumptions are fulfilled, and the situation that the model assumptions are violated.
contingency tables, loglinear model, odds ratio, offset, simulation, dual-system estimator, triple-system estimator
0094-9655
Hammond, Ceejay
3bc47224-b391-4b15-b42c-730e2c21871c
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612
Smith, Paul A.
a2548525-4f99-4baf-a4d0-2b216cce059c
Hammond, Ceejay
3bc47224-b391-4b15-b42c-730e2c21871c
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612
Smith, Paul A.
a2548525-4f99-4baf-a4d0-2b216cce059c

Hammond, Ceejay, van der Heijden, Peter G.M. and Smith, Paul A. (2024) Generating contingency tables with fixed marginal probabilities and dependence structures described by loglinear models. Journal of Statistical Computation and Simulation. (doi:10.48550/arXiv.2303.08568). (In Press)

Record type: Article

Abstract

We present a method to generate contingency tables that follow loglinear models with prescribed marginal probabilities and dependence structures. We make use of (loglinear) Poisson regression, where the dependence structures, described using odds ratios, are implemented using an offset term. We apply this methodology to carry out simulation studies in the context of population size estimation using dual system and triple system estimators, popular in official statistics. These estimators use contingency tables that summarise the counts of elements enumerated or captured within lists that are linked. The simulation is used to investigate these estimators in the situation that the model assumptions are fulfilled, and the situation that the model assumptions are violated.

Text
2303.08568 - Accepted Manuscript
Restricted to Repository staff only until 31 July 2024.
Available under License Creative Commons Attribution.
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Accepted/In Press date: 5 May 2024
Keywords: contingency tables, loglinear model, odds ratio, offset, simulation, dual-system estimator, triple-system estimator

Identifiers

Local EPrints ID: 476208
URI: http://eprints.soton.ac.uk/id/eprint/476208
ISSN: 0094-9655
PURE UUID: b184747b-b2bc-48fa-ae10-e2ac1057c324
ORCID for Peter G.M. van der Heijden: ORCID iD orcid.org/0000-0002-3345-096X
ORCID for Paul A. Smith: ORCID iD orcid.org/0000-0001-5337-2746

Catalogue record

Date deposited: 14 Apr 2023 16:32
Last modified: 17 May 2024 01:45

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Contributors

Author: Ceejay Hammond
Author: Paul A. Smith ORCID iD

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