Definition:Page Test

Definition

The Page test is a non-parametric test to detect for a monotonic trend in means using rankings randomized block design, 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.

Also known as

The Page test is also known as:

the Page's trend test

the Page's $L$ test.

Also see

• Definition:Jonckheere-Terpstra Test

• Results about the Page test can be found here.

Source of Name

This entry was named for Ellis Batten Page.

Historical Note

The Page test was designed by Ellis Batten Page in $1963$.

Sources

• 1963: Ellis Batten Page: Ordered hypotheses for multiple treatments: A significance test for linear ranks (JASA Vol. 58, no. 301: pp. 216 – 230)  www.jstor.org/stable/2282965
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Page test