Hypothesis test

Page's L Test for Ordered Alternatives

Page's L test is a nonparametric hypothesis test designed for repeated-measures (randomized complete block) designs in which the researcher has a specific, pre-stated ordering hypothesis across k ≥ 3 conditions. Introduced by Ellis Batten Page in 1963, it is more powerful than the Friedman test when the alternative hypothesis specifies a monotone trend rather than a general difference among conditions.

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Sources

  1. Page, E. B. (1963). Ordered hypotheses for multiple treatments: a significance test for linear ranks. Journal of the American Statistical Association, 58(301), 216–230. DOI: 10.1080/01621459.1963.10500843
  2. Hollander, M. & Wolfe, D. A. (1999). Nonparametric Statistical Methods (2nd ed.). Wiley. ISBN: 978-0471190455

Related methods

ScholarGatePage's L Test (Page's L Test for Ordered Alternatives). Retrieved 2026-06-04 from https://scholargate.app/en/statistics/page-test