A statistical test of a hypothesis : against the alternative : when at least one of the two parameter sets and is not topologically equivalent to a subset of a Euclidean space. Apart from this definition there is also another, wider one, according to which a statistical test is called non-parametric if the statistical inferences obtained using it do not depend on the particular null-hypothesis probability distribution of the observable random variables on the basis of which one wants to test against . In this case, instead of the term "non-parametric test" one speaks frequently of a "distribution-free statistical testdistribution-free test" . The Kolmogorov test is a classic example of a non-parametric test. See also Non-parametric methods in statistics; Kolmogorov–Smirnov test.
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Non-parametric test. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Non-parametric_test&oldid=15131