Alternative Hypothesis

Reference work entry
DOI: https://doi.org/10.1007/978-0-387-32833-1_4

An alternative hypothesis is the hypothesis which differs from the hypothesis being tested.

The alternative hypothesis is usually denoted by H1.

HISTORY

See hypothesis and hypothesis testing.

MATHEMATICAL ASPECTS

During the hypothesis testing of a  parameter of a  population, the null hypothesis is presented in the following way:
$$ H_0\colon\enskip\theta =\theta _0\:, $$
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REFERENCE

  1. 1.
    Lehmann, E.I., Romann, S.P.: Testing Statistical Hypothesis, 3rd edn. Springer, New York (2005)Google Scholar

Copyright information

© Springer-Verlag 2008