How to quantify the evidence for the absence of a correlation.

Note, however, that even for these relatively uninformative studies the evidence favors \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {H}_{0}$\end{document} H 0 , whereas the respective classical p values equal p = .06 (i.e., “marginally significant”), p = .03 (i.e., “significant, reject \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathcal {H}_{0}$\end{document} H 0 ”), and p = .06 (i.e., “marginally significant”). 3 Finally, consider the evidence for the studies in which the effect is in the opposite direction and most of the posterior mass is concentrated on negative values of ρ .

also in 26,082 other papers