One of the main objectives in meta-analysis is to estimate the overall effect size by calculating a confidence interval (CI). The usual procedure consists of assuming a standard normal distribution and a sampling variance defined as the inverse of the sum of the estimated weights of the effect sizes. But this procedure does not take into account…

The random variable p and its functions figure in several "tests of combined significance," meta-analysis summaries based on sample significance values, and ps have been used singly, as well as in other tests for evaluating the outcomes of individual research studies. In this work, asymptotic distributions of the sample one-sided…

It is easy to observe that meta-analysis is quickly establishing itself as useful tool of the social sciences. Perusal of representative journals confirms that meta-analysis has been applied in various ways to diverse literatures. It is imperative, therefore, that reviewers, publishers, consumers, and critics of these reviews be best informed…