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Refers to the standard deviation of the sampling distribution of a statistic calculated from a sample. Standard errors are often required when forming confidence intervals or testing hypotheses about the population from which the statistic was sampled.
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Calculation of the individual standard error of the mean for meta analysis bias estimation
I do not favor the term 'publication bias', as the broader concept of small study effects is more appropriate and meaningfulfor most meta-analyses or meta-epidemiologic studies. See for instance this …