Definition: Simple and composite hypothesis
Index:
The Book of Statistical Proofs ▷
General Theorems ▷
Frequentist statistics ▷
Statistical hypotheses ▷
Simple vs. composite
Sources:
Metadata: ID: D128 | shortcut: hyp-simp | author: JoramSoch | date: 2021-03-19, 14:24.
Definition: Let $H$ be a statistical hypothesis. Then,
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$H$ is called a simple hypothesis, if it completely specifies the population distribution; in this case, the sampling distribution of the test statistic is a function of sample size alone.
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$H$ is called a composite hypothesis, if it does not completely specify the population distribution; for example, the hypothesis may only specify one parameter of the distribution and leave others unspecified.
- Wikipedia (2021): "Exclusion of the null hypothesis"; in: Wikipedia, the free encyclopedia, retrieved on 2021-03-19; URL: https://en.wikipedia.org/wiki/Exclusion_of_the_null_hypothesis#Terminology.
Metadata: ID: D128 | shortcut: hyp-simp | author: JoramSoch | date: 2021-03-19, 14:24.