Classical statistical inference contains many contradictions and absurdities. We give a collection of short and illustrative examples of various shortcomings. We concentrate on the central issues and not on the problems that may stem from misformulation of the model or the inappropriateness of quantitative methods. The use of classical statistical inference for practical purposes is discussed. In particular we consider it in the context of scientific progress and its use as a basis for decisions. It is shown that the usual output from most inference procedures is of little use. Finally we conclude that the difficulties to use classical inference protects the user from serious consequences of silly mistakes.

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Last update: 1998-12-07 / MC