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.
ŠIMEČKOVÁ, Marie, ŠIMEČEK, Petr a RASCH, D., 2009 Tests of additivity in two-way layout without replication. In Robust 2008. Praha: Jednota českých matematiká a fyziků, s. 417-424. ISSN 978-80-7015-004-7
Year2009
CathegoryEntries in proceedings
Internal link9121.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.