Scientists, organizations, and governments are moving in the direction of sharing their data. This will lead to an unprecedented amount of available data that researchers could use as prior information in a Bayesian analysis. While Bayesian methods are a promising method for using the growing amount of available information to increase statistical power in research studies, there is a great need for developing guidelines for calibrating existing data to create accurate informative prior distributions. Bayesian methods that incorporate accurate prior information in the statistical analysis reduce the required sample size of the new study without decreasing the chance of detecting a true effect. However, prior data may be from a different population, measured using different instruments, and/or collected using different experimental procedures than those in the current study. Using the results from a prior study that differs from the current study in any of these respects as prior information in a Bayesian analysis can lead to biased results.
Several promising calibration methods have been proposed for linear regression analysis. In this project I proposed to extend and test these methods to models with third variables that reveal the conditions under which an effect exists (moderators), the mechanism through which one variable affects another (mediators), and variables that might explain an observed effect (confounders).