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In statistics, a likelihood ratio test is a statistical test used to compare the goodness of fit of two models, one of which (the null model) is a special case of the other (the alternative model). The test is based on the likelihood ratio, which expresses how many times more likely the data are under one model than the other. This likelihood ratio, or equivalently its logarithm, can then be used to compute a p-value, or compared to a critical value to decide whether to reject the null model in favour of the alternative model. When the logarithm of the likelihood ratio is used, the statistic is known as a log-likelihood ratio statistic, and the probability distribution of this test statistic, assuming that the null model is true, can be approximated using .

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  • Likelihood-ratio test
  • Likelihood-Quotienten-Test
  • Rapporto di verosimiglianza
  • 尤度比検定
  • Aannemelijkheidsquotiënttoets
  • Тест отношения правдоподобия
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  • Der Likelihood-Quotienten-Test oder Likelihood-Ratio-Test ist ein statistischer Test, der zu den typischen Hypothesentests in parametrischen Modellen gehört. Viele klassische Tests wie der F-Test für den Varianzenquotienten oder der Zwei-Stichproben-t-Test lassen sich als Beispiele für Likelihood-Quotienten-Tests interpretieren. Einfachstes Beispiel eines Likelihood-Quotienten-Tests ist der Neyman-Pearson-Test.
  • 尤度比検定(ゆうどひけんてい)とは、尤度比を検定統計量として用いる統計学的検定の総称である。 検定統計量とは検定に用いる統計量(標本データの関数)であり、その値が予め決めた有意水準より小さいならば帰無仮説を棄却する検定を行う。
  • Un test clinico, come noto, è caratterizzato da una determinata sensibilità e una determinata specificità. Da questi valori si possono ricavare i rapporti di verosimiglianza (RV), utili per la valutazione del test clinico in sé e per il calcolo della probabilità di malattia o meno dopo il test.
  • In de statistiek is een aannemelijkheidsquotiënttoets, vaak ook aangeduid met de Engelse term likelihood-ratiotest, een parametrische toets die als toetsingsgrootheid een aannemelijkheidsquotiënt, of een functie daarvan, heeft. De toets vergelijkt de aannemelijkheid van de parameterwaarde(n) onder de nulhypothese met de aannemelijkheid van de waarde(n) onder de alternatieve hypothese en verwerpt de nulhypothese als de parameterwaarde(n) onder de alternatieve hypothese significant aannemelijker zijn dan die onder de nulhypothese. Veel klassieke toetsen, zoals de F-toets en de t-toets voor twee steekproeven kunnen als aannemelijkheidsquotiënttoets beschouwd worden.
  • Тест отноше́ния правдоподо́бия (англ. likelihood ratio test, LR) — статистический тест, используемый для проверки ограничений на параметры статистических моделей, оценённых на основе выборочных данных. Является одним из трёх базовых тестов проверки ограничений наряду с тестом множителей Лагранжа и тестом Вальда.
  • In statistics, a likelihood ratio test is a statistical test used to compare the goodness of fit of two models, one of which (the null model) is a special case of the other (the alternative model). The test is based on the likelihood ratio, which expresses how many times more likely the data are under one model than the other. This likelihood ratio, or equivalently its logarithm, can then be used to compute a p-value, or compared to a critical value to decide whether to reject the null model in favour of the alternative model. When the logarithm of the likelihood ratio is used, the statistic is known as a log-likelihood ratio statistic, and the probability distribution of this test statistic, assuming that the null model is true, can be approximated using .
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