  The features of a logically sound approach to a theory of statistical
reasoning are discussed. A particular approach that satisfies these criteria is
reviewed. This is seen to involve selection of a model, model checking,
elicitation of a prior, checking the prior for bias, checking for prior-data
conflict and estimation and hypothesis assessment inferences based on a measure
of evidence. A long-standing anomalous example is resolved by this approach to
inference and an application is made to a practical problem of considerable
importance which, among other novel aspects of the analysis, involves the
development of a relevant elicitation algorithm.
