The use of Bayesian methods for data analysis is creating a revolution in fields ranging from
genetics to marketing. Yet, results of our literature review, including more than 10,000 …

RA Fisher, the father of modern statistics, proposed the idea of fiducial inference during the
first half of the 20th century. While his proposal led to interesting methods for quantifying …

In the practice of data analysis, there is a conceptual distinction between hypothesis testing,
on the one hand, and estimation with quantified uncertainty on the other. Among frequentists …

Bayesian estimation for 2 groups provides complete distributions of credible values for the
effect size, group means and their difference, standard deviations and their difference, and …

Objective To estimate the basic reproduction number (R 0) for COVID-19 in Western Europe.
Methods Data (official statistics) on the cumulative incidence of COVID-19 at the start of the …

This article describes and demonstrates a two-step approach for transforming non-normally
distributed continuous variables to become normally distributed. Step 1 involves …

In frequentist inference, we commonly use a single point (point estimator) or an interval
(confidence interval/“interval estimator”) to estimate a parameter of interest. A very simple …

This essay grew out of an examination of one-tailed significance testing. One-tailed tests
were little advocated by the founders of modern statistics but are widely used and …

Recent assessments of climate sensitivity per doubling of atmospheric CO 2 concentration
have combined likelihoods derived from multiple lines of evidence. These assessments …

We consider parametric frameworks for the prediction of future values of a random variable
Y, based on previously observed data X. Simple pivotal methods for obtaining calibrated …