Confusion surrounding the reporting and interpretation of results of classical statistical tests is widespread among applied researchers. The confusion stems from the fact that most of these researchers are unaware of the historical development of classical statistical testing methods, and the mathematical and philosophical principles underlying them. Moreover, researchers erroneously believe t...

Human errors are regarded as one of the main causes for railway accidents these days. In spite of this fact, the consideration of human error probabilities in quantified risk analyses has been very rudimentary up to now. A lack of comprehensive data and analyses in literature lead to the use of estimations and values from other industries. This paper discusses the transferability of human error...

Testing of a composite null hypothesis versus a composite alternative is considered when both have a related invariance structure. The goal is to develop conditional frequentist tests that allow the reporting of data-dependent error probabilities, error probabilities that have a strict frequentist interpretation and that reflect the actual amount of evidence in the data. The resulting tests are...

Testing of hypotheses for discrete distributions is considered in this paper. The goal is to develop conditional frequentist tests that allow the reporting of datadependent error probabilities such that the error probabilities have a strict frequentist interpretation and also reflect the actual amount of evidence in the observed data. The resulting randomized tests are also seen to be Bayesian ...