Index: The Book of Statistical ProofsGeneral 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.


Metadata: ID: D128 | shortcut: hyp-simp | author: JoramSoch | date: 2021-03-19, 14:24.