Category:Errors of First or Second Type
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This category contains results about Errors of First or Second Type.
Definitions specific to this category can be found in Definitions/Errors of First or Second Type.
Type $\text I$ Error
A type $\text I$ error is the rejection of a true null hypothesis as the result of a hypothesis test.
The probability of a type $\text I$ error is controlled by fixing the significance level $\alpha$.
Type $\text {II}$ Error
A type $\text {II}$ error is the failure to reject a false null hypothesis as the result of a hypothesis test.
The probability of a type $\text {II}$ error depends on the alternative hypothesis $H_1$, and for a particular $H_1$ is often denoted $\beta$.
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