In statistics, the Jonckheere trend test (sometimes called the Jonckheere–Terpstra test) is a test for an ordered alternative hypothesis within an independent samples (between-participants) design. It is similar to the Kruskal–Wallis test in that the null hypothesis is that several independent samples are from the same population. However, with the Kruskal–Wallis test there is no a priori ordering of the populations from which the samples are drawn. When there is an a priori ordering, the Jonckheere test has more statistical power than the Kruskal–Wallis test. The test was developed by Aimable Robert Jonckheere, who was a psychologist and statistician at University College London.
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| - Jonckheere-Terpstra-Test (de)
- Test de Jonckheere-Terpstra (fr)
- Jonckheere's trend test (en)
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| - Der Jonckheere-Terpstra-Test ist ein parameterfreier statistischer Test, mit dem ähnlichwie beim Kruskal-Wallis-Test im Rahmen einer Varianzanalyse verglichen wird, ob sich verschiedene unabhängige Stichproben (Gruppen) hinsichtlich einer ordinalskalierten Variable unterscheiden.Der Unterschied zum Kruskal-Wallis-Test ist, dass hier auf das Vorliegen eines Trends zwischen den Gruppen getestet wird. Die Nullhypothese H0 lautet, dass alle Stichprobenwerte aus Grundgesamtheiten mit identischer Verteilung gezogen wurden: (de)
- In statistics, the Jonckheere trend test (sometimes called the Jonckheere–Terpstra test) is a test for an ordered alternative hypothesis within an independent samples (between-participants) design. It is similar to the Kruskal–Wallis test in that the null hypothesis is that several independent samples are from the same population. However, with the Kruskal–Wallis test there is no a priori ordering of the populations from which the samples are drawn. When there is an a priori ordering, the Jonckheere test has more statistical power than the Kruskal–Wallis test. The test was developed by Aimable Robert Jonckheere, who was a psychologist and statistician at University College London. (en)
- Le test de Jonckheere-Terpstra ou Test de tendance de Jonckheere est un test statistique qui s'utilise avec des échantillons indépendants. Il est similaire au test de Kruskal-Wallis car l'hypothèse nulle stipule que les différents échantillons proviennent de la même population. Cependant, le test de Kruskall-Wallis ne présuppose pas d'organisation à priori des ou de la population d'où sont issus les échantillons. S'il y a une présupposition à priori de l'organisation des ou de la population, le test de Jonckheere-Terpstra est plus puissant que le test de Kruskal-Wallis. (fr)
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| - Der Jonckheere-Terpstra-Test ist ein parameterfreier statistischer Test, mit dem ähnlichwie beim Kruskal-Wallis-Test im Rahmen einer Varianzanalyse verglichen wird, ob sich verschiedene unabhängige Stichproben (Gruppen) hinsichtlich einer ordinalskalierten Variable unterscheiden.Der Unterschied zum Kruskal-Wallis-Test ist, dass hier auf das Vorliegen eines Trends zwischen den Gruppen getestet wird. Die Nullhypothese H0 lautet, dass alle Stichprobenwerte aus Grundgesamtheiten mit identischer Verteilung gezogen wurden: Als Alternativhypothese HA gilt: , wobei mindestens eine strikteUngleichung gilt. (de)
- In statistics, the Jonckheere trend test (sometimes called the Jonckheere–Terpstra test) is a test for an ordered alternative hypothesis within an independent samples (between-participants) design. It is similar to the Kruskal–Wallis test in that the null hypothesis is that several independent samples are from the same population. However, with the Kruskal–Wallis test there is no a priori ordering of the populations from which the samples are drawn. When there is an a priori ordering, the Jonckheere test has more statistical power than the Kruskal–Wallis test. The test was developed by Aimable Robert Jonckheere, who was a psychologist and statistician at University College London. The null and alternative hypotheses can be conveniently expressed in terms of population medians for k populations (where k > 2). Letting θi be the population median for the ith population, the null hypothesis is: The alternative hypothesis is that the population medians have an a priori ordering e.g.: ≤ ≤ ≤ with at least one strict inequality. (en)
- Le test de Jonckheere-Terpstra ou Test de tendance de Jonckheere est un test statistique qui s'utilise avec des échantillons indépendants. Il est similaire au test de Kruskal-Wallis car l'hypothèse nulle stipule que les différents échantillons proviennent de la même population. Cependant, le test de Kruskall-Wallis ne présuppose pas d'organisation à priori des ou de la population d'où sont issus les échantillons. S'il y a une présupposition à priori de l'organisation des ou de la population, le test de Jonckheere-Terpstra est plus puissant que le test de Kruskal-Wallis.
* Portail des probabilités et de la statistique (fr)
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