Henmi, Masayuki, Copas, John B. and Eguchi, Shinto. (2007) Confidence intervals and P-values for meta-analysis with publication bias. Biometrics, Vol.63 (No.2). pp. 475-482. ISSN 0006-341X

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Abstract

We study publication bias in meta-analysis by supposing there is a population (y, sigma) of studies which give treatment effect estimates y - N(theta, sigma(2)). A selection function describes the probability that each study is selected for review. The overall estimate of 0 depends on the studies selected, and hence on the (unknown) selection function. Our previous paper, Copas and Jackson (2004, Biometrics 60, 146-153), studied the maximum bias over all possible selection functions which satisfy the weak condition that large studies (small a) are as likely, or more likely, to be selected than small studies (large sigma). This led to a worst-case sensitivity analysis, controlling for the overall fraction of studies selected. However, no account was taken of the effect of selection on the uncertainty in estimation. This article extends the previous work by finding corresponding confidence intervals and P-values, and hence a new sensitivity analysis for publication bias. Two examples are discussed.

Item Type:	Journal Article
Subjects:	Q Science > QH Natural history > QH301 Biology Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Journal or Publication Title:	Biometrics
Publisher:	John Wiley & Sons Ltd.
ISSN:	0006-341X
Official Date:	June 2007
Dates:	Date Event June 2007 Published
Volume:	Vol.63
Number:	No.2
Number of Pages:	8
Page Range:	pp. 475-482
Identification Number:	10.1111/j.1541-0420.2006.00705.x
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/31865

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