Tests of additivity in two-way layout without replication
ŠIMEČKOVÁ, M., ŠIMEČEK, P. & RASCH, D.. Testy aditivity v analýze dvojného třídění bez opakování. In Robust 2008. Praha : Jednota českých matematiká a fyziků, 2009, s. 417-424.
Year | 2009 |
Cathegory | Entries in proceedings |
Internal link | 9121.pdf |
Abstract | The two-way ANOVA mixed model with one observation for each row – column combination is considered and tests of interaction in this model are studied. The paper summarizes properties of five tests of additivity: Tukey test, Mandel test, Johnson – Graybill test, Tussel test and locally best invariant (LBI) test. These tests were developed for models with fixed effects. A modification of Tukey test to increase the power of this test for general interaction is proposed. Finally, an empirical formula for determination of the size of an experiment for the Johnson – Graybill test is introduced. |
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