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
Hammond, Ceejay Anne
3bc47224-b391-4b15-b42c-730e2c21871c
van der Heijden, Peter G.M.
85157917-3b33-4683-81be-713f987fd612
Smith, Paul A.
a2548525-4f99-4baf-a4d0-2b216cce059c
15 March 2023
Hammond, Ceejay Anne
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 Anne, van der Heijden, Peter G.M. and Smith, Paul A.
(2023)
Generating contingency tables with fixed marginal probabilities and dependence structures described by loglinear models.
arXiv.
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
More information
Accepted/In Press date: 15 March 2023
Published date: 15 March 2023
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: 2331-8422
PURE UUID: b184747b-b2bc-48fa-ae10-e2ac1057c324
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Date deposited: 14 Apr 2023 16:32
Last modified: 10 May 2023 01:45
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Author:
Ceejay Anne Hammond
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