Simple and composite hypothesis

Index: The Book of Statistical Proofs ▷ General Theorems ▷ Frequentist statistics ▷ Statistical hypotheses ▷ Simple vs. composite

Definition: Let $H$ be a statistical hypothesis. Then,

$H$ 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.
$H$ 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.

Sources:

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.