# Similar test

From Encyclopedia of Mathematics

A statistical test for testing a compound hypothesis $H_0\colon\theta\in\Theta_0$ against a compound alternative $H_1\colon\theta\in\Theta_1$ ($\Theta_0\cap\Theta_1=\emptyset$), the power function (cf. Power function of a test) of which takes on $\Theta_0$ the same, fixed, value from the interval $(0,1)$.

See Neyman structure; Behrens–Fisher problem; Similarity region.

#### References

[1] | E.L. Lehmann, "Testing statistical hypotheses" , Wiley (1986) |

**How to Cite This Entry:**

Similar test.

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Similar_test&oldid=32947

This article was adapted from an original article by M.S. Nikulin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article