Hypothesis test
Scheffé Test
The Scheffé test is a post-hoc multiple comparison procedure that controls the family-wise error rate simultaneously for all possible linear contrasts among group means following a significant ANOVA. Introduced by Henry Scheffé in his landmark 1953 Biometrika paper, it is the most general and conservative standard post-hoc method, remaining valid regardless of how many or which contrasts are examined after seeing the data.
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Sources
- Scheffé, H. (1953). A method for judging all contrasts in the analysis of variance. Biometrika, 40(1–2), 87–110. DOI: 10.1093/biomet/40.1-2.87 ↗
- Scheffé, H. (1959). The Analysis of Variance. Wiley. ISBN: 978-0471345053
- Montgomery, D. C. (2017). Design and Analysis of Experiments (9th ed.). Wiley. ISBN: 978-1119492443