Specification of Distribution for Measurement Results: Bayesian Approach

In the Cochrane Database of Systematic Reviews (CDSR) 75% reported meta-analyses contain five or fewer studies. For a small dataset reasonable goodness-of-fit test on statistical model cannot be performed since either it requires large sample size for validity asymptotic approximation might not powerful enough to detect deviation from target model. Random effects under assumption normality is commonly used in many fields science. It also appears classical approach data reduction interlaboratory studies metrology and meta-analysis medicine. However, fulfilled practical applications. If set small, then no distribution will perform well. The intrinsic Bayes factor selecting an appropriate probability among several competitors, which necessarily have nested. We apply proposed methodology measurement results determine Newtonian constant gravitation Planck constant.