Title: Estimating the sample mean and standard deviation from the sample size, median, mid-range, and/or mid-quartile range
Authors: Tiejun Tong - Hong Kong Baptist University (Hong Kong) [presenting]
Abstract: Evidence-based medicine is attracting increasing attention to improve decision making in medical practice via integrating evidence from well designed and conducted clinical research. Meta-analysis is a statistical technique widely used in evidence-based medicine for analytically combining the findings from independent clinical trials to provide an overall estimation of a treatment effectiveness. The sample mean and standard deviation are two commonly used statistics in meta-analysis but some trials use the median, the minimum and maximum values, or sometimes the first and third quartiles to report the results. Thus, to pool results in a consistent format, researchers need to transform that information back to the sample mean and standard deviation. We will introduce our recent advances in the optimal estimation of the sample mean and standard deviation for meta-analysis from both theoretical and empirical perspectives. Specifically, we solve the problems by incorporating the sample size in a smoothly changing weight in the estimators to reach the optimal estimation. Our proposed estimators not only improve the existing ones significantly but also share the same virtue of the simplicity. The real data application indicates that our proposed estimators are capable to serve as rules of thumb and will be widely applied in evidence-based medicine.