Definition:Page Test
(Redirected from Definition:Page's Trend Test)
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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
- 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