Type I and type II errors

Type I and type II errors

In statistical hypothesis testing, a type I error is the mistaken rejection of an actually true null hypothesis (also known as a "false positive" finding or conclusion; example: "an innocent person is convicted"), while a type II error is the failure to reject a null hypothesis that is actually false (also known as a "false negative" finding or conclusion; example: "a guilty person is not convicted"). Much of statistical theory revolves around the minimization of one or both of these errors, though the complete elimination of either is a statistical impossibility if the outcome is not determined by a known, observable causal process.By selecting a low threshold (cut-off) value and modifying the alpha (α) level, the quality of the hypothesis test can be increased. The knowledge of type I er

Comment
enIn statistical hypothesis testing, a type I error is the mistaken rejection of an actually true null hypothesis (also known as a "false positive" finding or conclusion; example: "an innocent person is convicted"), while a type II error is the failure to reject a null hypothesis that is actually false (also known as a "false negative" finding or conclusion; example: "a guilty person is not convicted"). Much of statistical theory revolves around the minimization of one or both of these errors, though the complete elimination of either is a statistical impossibility if the outcome is not determined by a known, observable causal process.By selecting a low threshold (cut-off) value and modifying the alpha (α) level, the quality of the hypothesis test can be increased. The knowledge of type I er
Date
17 May 2018
Depiction
ROC curves.svg
Has abstract
enIn statistical hypothesis testing, a type I error is the mistaken rejection of an actually true null hypothesis (also known as a "false positive" finding or conclusion; example: "an innocent person is convicted"), while a type II error is the failure to reject a null hypothesis that is actually false (also known as a "false negative" finding or conclusion; example: "a guilty person is not convicted"). Much of statistical theory revolves around the minimization of one or both of these errors, though the complete elimination of either is a statistical impossibility if the outcome is not determined by a known, observable causal process.By selecting a low threshold (cut-off) value and modifying the alpha (α) level, the quality of the hypothesis test can be increased. The knowledge of type I errors and type II errors is widely used in medical science, biometrics and computer science. Intuitively, type I errors can be thought of as errors of commission, i.e. the researcher unluckily concludes that something is the fact. For instance, consider a study where researchers compare a drug with a placebo. If the patients who are given the drug get better than the patients given the placebo by chance, it may appear that the drug is effective, but in fact the conclusion is incorrect.In reverse, type II errors are errors of omission. In the example above, if the patients who got the drug did not get better at a higher rate than the ones who got the placebo, but this was a random fluke, that would be a type II error. The consequence of a type II error depends on the size and direction of the missed determination and the circumstances. An expensive cure for one in a million patients may be inconsequential even if it truly is a cure.
Hypernym
Rejection
Is primary topic of
Type I and type II errors
Label
enType I and type II errors
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SameAs
1종 오류와 2종 오류
2QAi7
Chyby typu I a II
Elsőfajú és másodfajú hiba
Errores de tipo I y de tipo II
Errors de tipus I i de tipus II
Erros do tipo I e do tipo II
Fehler 1. und 2. Art
Fout (statistiek)
Höfnunar- og fastheldnismistök
I ja II tüüpi viga
m.0159l8
m.0dynqq
Q25536108
Q989120
Statistisk feil
Type I and type II errors
Σφάλματα πρώτου και δευτέρου βαθμού
Σφάλματα τύπου Α και Β
Грешки от първи и от втори род
Ошибки первого и второго рода
Помилки першого і другого роду
שגיאות מסוג I ו-II
خطأ النوع الأول وخطأ النوع الثاني
خطای نوع اول و دوم
ความผิดพลาดชนิดที่ 1 และ 2
型一錯誤與型二錯誤
第一種過誤と第二種過誤
SeeAlso
Coverage probability
Sensitivity
Specificity
Subject
Category:Design of experiments
Category:Error
Category:Spam filtering
Category:Statistical hypothesis testing
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