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Exact correction factor for estimating the OR in the presence of sparse data with a zero cell in 2 × 2 tables

Babu, Malavika, Mani, Thenmozhi, Sappani, Marimuthu, George, Sebastian, Bangdiwala, Shrikant I. and Jeyaseelan, Lakshmanan 2024. Exact correction factor for estimating the OR in the presence of sparse data with a zero cell in 2 × 2 tables. International Journal of Biostatistics 20 (1) , pp. 229-243. 10.1515/ijb-2022-0040

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Abstract

In case-control studies, odds ratios (OR) are calculated from 2 × 2 tables and in some instances, we observe small cell counts or zero counts in one of the cells. The corrections to calculate the ORs in the presence of empty cells are available in literature. Some of these include Yates continuity correction and Agresti and Coull correction. However, the available methods provided different corrections and the situations where each could be applied are not very apparent. Therefore, the current research proposes an iterative algorithm of estimating an exact (optimum) correction factor for the respective sample size. This was evaluated by simulating data with varying proportions and sample sizes. The estimated correction factor was considered after obtaining the bias, standard error of odds ratio, root mean square error and the coverage probability. Also, we have presented a linear function to identify the exact correction factor using sample size and proportion.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Centre for Trials Research (CNTRR)
Medicine
Publisher: Walter de Gruyter
ISSN: 1557-4679
Date of First Compliant Deposit: 13 September 2024
Date of Acceptance: 27 March 2023
Last Modified: 08 Nov 2024 01:30
URI: https://orca.cardiff.ac.uk/id/eprint/172098

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