Abstract:
:The Log-odds ratio for 2 × 2 contingency tables is often approximated by a normal distribution with an approximated variance. Hwang and Biswas (2008) illustrated that the standard expression for the variance should be modified in the presence of correlation. They also provided an adjustment to this variance expression when a single 2 × 2 table is available with matched-pair data. In this present paper, we first provide the required adjustment for multiple 2 × 2 tables, theoretically and also with reference to some data examples. We illustrate that this variance-adjusted normal approximation is a better approximation for such data. We provide two examples, one of which came from a late-phase clinical trial. As the theoretical development of this research depends on the existence of a bivariate binomial distribution, a multivariate (and hence bivariate) binomial distribution is motivated and derived. We then provide a suitably correlation adjusted Mantel-Haenszel test procedure.
journal_name
J Biopharm Statjournal_title
Journal of biopharmaceutical statisticsauthors
Biswas A,Hwang JSdoi
10.1080/10543406.2010.494268subject
Has Abstractpub_date
2011-01-01 00:00:00pages
136-50issue
1eissn
1054-3406issn
1520-5711pii
931670832journal_volume
21pub_type
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