Three Graphic Representations to Aid Bayesian Inference
SummaryVisual representation may help physicians and patients interpret laboratory results, for example by aiding Bayesian reasoning. This paper is concerned with the psychological and formal properties of such visual representations. One popular way to present laboratory results is via signal detection curves. These curves represent many parameters of a laboratory test including parameters, such as distribution variance, that are not typically known. Such curves can be seriously misleading.Two alternative representations are suggested. Probability maps represent only the three laboratory test parameters most likely to be known: sensitivity, specificity and prevalence, and thus avoid the problems of the richer signal detection curves. Probability maps, however, do not remind the user of why there are false positives and false negatives nor of the nature of the criterion for positivity. Detection bars, a third type of representation, are a compromise between signal detection curves and probability maps.