Category:Definitions/Jonckheere-Terpstra Test

This category contains definitions related to Jonckheere-Terpstra Test.
Related results can be found in Category:Jonckheere-Terpstra Test.

The Jonckheere-Terpstra test is a non-parametric test where:

the null hypothesis $H_0$ is that three or more independent samples all come from the same population

the alternative hypothesis $H_1$ is that their means $\mu_i$ taken in order show a monotonic trend.

That is:

$H_0$: that $\mu_1 = \mu_2 = \cdots = \mu_k$

against:

$H_1$: that either:

$\mu_1 \le \mu_2 \le \cdots \le \mu_k$

or:

$\mu_1 \ge \mu_2 \ge \cdots \ge \mu_k$

in which at least one of the inequalities is strict.