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Use and misuse of statistics seems to be the signum temporis of
past decades. But nowadays this practice seems slowly to be wearing
away, and common sense and responsibility recapturing their
position. It is our contention that little by little statistics
should return to its starting point, i.e., to formalizing and
analyzing empirical phenomena. This requires the reevalu ation of
many traditions and the rejection of many myths. We hope that our
book would go some way towards this aim. We show the sharp conflict
between what is needed and what is feasible. Moreover, we show how
slender are the links between theory and practice in statistical
inference, links which are sometimes no more than mutual
inspiration. In Part One we present the consecutive stages of
formalization of statistical problems, i.e., the description of the
experiment, the presentation of the aim of the investigation, and
of the constraints put upon the decision rules. We stress the fact
that at each of these stages there is room for arbitrariness. We
prove that the links between the real problem and its formal
counterpart are often so weak that the solution of the formal
problem may have no rational interpretation at the practical level.
We give a considerable amount of thought to the reduction of
statistical problems."
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