  Statistical pragmatism embraces all efficient methods in statistical
inference. Augmentation of the collected data is used herein to obtain
representative population information from a large class of non-representative
population's units. Parameter expansion of a probability model is shown to
reduce the upper bound on the sum of error probabilities for a test of simple
hypotheses, and a measure, R, is proposed for the effect of activating
additional component(s) in the sufficient statistic.
