![]() Borel, however, in a later discussion, considered that the method described could be applied with success provided that the character, x, of the observed facts were properly chosen-were, in fact, a character which he terms “en quelque sorte remarquable. Bertrand expressed the pessimistic view that no test of this kind could give reliable results. If P were very small, this would generally be considered as an indication that the hypothesis, H, was probably false, and vice versa. His method of attack, which is that in common use, consisted essentially in calculating the probability, P, that a certain character, x, of the observed facts would arise if the hypothesis tested were true. Bertrand put into statistical form a variety of hypotheses, as for example the hypothesis that a given group of stars with relatively small angular distances between them as seen from the earth, form a “system” or group in space. Covariance and correlation analysis including Pearson. Since then it has been discussed by many writers of whom we shall here mention two only, Bertrand and Borel, whose differing views serve well to illustrate the point from which we shall approach the subject. Support for cloud drive access, allowing you to open and save file directly to Dropbox, OneDrive. Its origin is usually connected with the name of Thomas Bayes, who gave the well-known theorem on the probabilities a posteriori of the possible “causes" of a given event. The problem of testing statistical hypotheses is an old one. ![]()
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