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Robust confidence intervals for trend estimation in meta-analysis with publication bias
Authors:H. Lu  P. Yin  R.X. Yue
Affiliation:1. School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, People's Republic of China;2. Department of Biostatistics, University of Liverpool, Liverpool, UK;3. College of Mathematics and Sciences, Shanghai Normal University, Division of Scientific Computation of E-Institute of Shanghai Universities and Scientific Computing Key Laboratory of Shanghai Universities, People's Republic of China
Abstract:
Confidence interval (CI) is very useful for trend estimation in meta-analysis. It provides a type of interval estimate of the regression slope as well as an indicator of the reliability of the estimate. Thus a precise calculation of confidence interval at an expected level is important. It is always difficult to explicitly quantify the CIs when there is publication bias in meta-analysis. Various CIs have been proposed, including the most widely used DerSimonian–Laird CI and the recently proposed Henmi–Copas CI. The latter provides a robust solution when there are non-ignorable missing data due to publication bias. In this paper we extended the idea into meta-analysis for trend estimation. We applied the method in different scenarios and showed that this type of CI is more robust than the others.
Keywords:meta-analysis  publication bias  random-effects model  robust confidence interval  trend estimation
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