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A nonparametric procedure for the analysis of balanced crossover designs
Author(s) -
Tardif Serge,
Bellavance François,
Van Eeden Constance
Publication year - 2005
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.1002/cjs.5550330401
Subject(s) - nonparametric statistics , crossover , mathematics , permutation (music) , statistics , estimator , statistical hypothesis testing , combinatorics , computer science , physics , artificial intelligence , acoustics
The authors propose nonparametric tests for the hypothesis of no direct treatment effects, as well as for the hypothesis of no carryover effects, for balanced crossover designs in which the number of treatments equals the number of periods p , where p ≥ 3. They suppose that the design consists of n replications of balanced crossover designs, each formed by m Latin squares of order p. Their tests are permutation tests which are based on the n vectors of least squares estimators of the parameters of interest obtained from the n replications of the experiment. They obtain both the exact and limiting distribution of the test statistics, and they show that the tests have, asymptotically, the same power as the F ‐ratio test.