Title

Rank-Based Test Procedures for Interaction in the Two-Way Layout With One Observation Per Cell

Document Type

Article

Publication Date

1999

Abstract

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 the new procedures are provided in settings where the numbers of levels for each of the factors is between 3 and 9, inclusive.

Journal

The Canadian Journal of Statistics

Volume

27

Issue

4

First Page

863

Last Page

874