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Physical Sciences and Mathematics Commons

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Statistics and Probability

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2017

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Full-Text Articles in Physical Sciences and Mathematics

Rank-Based Test Procedures For Interaction In The Two-Way Layout With One Observation Per Cell, Brad Hartlaub May 2017

Rank-Based Test Procedures For Interaction In The Two-Way Layout With One Observation Per Cell, Brad Hartlaub

Brad Hartlaub

ABSTRACT New aligned-rank test procedures for the composite null hypothesis of no interaction effects (without placing restrictions on the two main e#ects) against appropriate composite general alternatives are developed for the standard two-way layout with a single observation per cell. Relative power performances of the two new aligned-rank procedures and existing tests due to Tukey (1949) and de Kroon & van der Laan (1981) are examined via Monte Carlo simulation. Extensive power studies conducted on the 56and59two-way layouts with one observation per cell show superior performance of the new procedures for a variety of interaction e#ects. Simulated critical values for …