In many statistical applications that concern mathematical psychologists, the concept of
Fisher information plays an important role. In this tutorial we clarify the concept of Fisher …

Supplement to “Penalising Model Component Complexity: A Principled, Practical Approach
to Constructing Priors”. The supplementary material contains the proofs of all theorems …

Harold Jeffreys pioneered the development of default Bayes factor hypothesis tests for
standard statistical problems. Using Jeffreys's Bayes factor hypothesis tests, researchers can …

Pearson's correlation is one of the most common measures of linear dependence. Recently,
Bernardo (11th International Workshop on Objective Bayes Methodology, 2015) introduced …

Across the empirical sciences, few statistical procedures rival the popularity of the frequentist
t-test. In contrast, the Bayesian versions of the t-test have languished in obscurity. In recent …

In objective Bayesian model selection, no single criterion has emerged as dominant in
defining objective prior distributions. Indeed, many criteria have been separately proposed …

We discuss hypothesis testing and compare different theories in light of observed or
experimental data as fundamental endeavors in the sciences. Issues associated with the p …

We use the small scales of the Dark Energy Survey (DES) Year-3 cosmic shear
measurements, which are excluded from the DES Year-3 cosmological analysis, to constrain …

We present a suite of Bayes factor hypothesis tests that allow researchers to grade the
decisiveness of the evidence that the data provide for the presence versus the absence of a …

We are entering an era where progress in cosmology is driven by data, and alternative
models will have to be compared and ruled out according to some consistent criterium. The …