Definition:Hypothesis Test
(Redirected from Definition:Statistical Significance)
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Definition
A hypothesis test is a rule that specifies, for a null hypothesis $H_0$ and alternative hypothesis $H_1$:
- For which sample values the decision is made to accept $H_0$
- For which sample values $H_0$ is rejected and $H_1$ is accepted.
Consideration of a suitable test statistic $T$ enables the null hypothesis to be rejected at a given significance level $\alpha$ only if $T$ lies in its critical region for $\alpha$.
Also known as
It is often convenient to refer to the process of hypothesis testing as a verb form meaning performing a hypothesis test.
The terms significance testing and significance test can also be found, which are synonyms of these.
Also found is the term statistical significance.
Also see
- Results about hypothesis testing can be found here.
Sources
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): hypothesis testing
- 1989: Ephraim J. Borowski and Jonathan M. Borwein: Dictionary of Mathematics ... (previous) ... (next): test
- 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): hypothesis testing
- 2002: George C. Casella and Roger L. Berger: Statistical Inference (2nd ed.) ... (previous) ... (next): $8.1$: Introduction: Definition $8.1.3$
- 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): hypothesis testing
- 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): hypothesis testing