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.

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

Cite this entry as:: (2008) Alternative Hypothesis. In: The Concise Encyclopedia of Statistics. Springer, New York, NY