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A New Nonparametric Approach to the Comparison of K Independent Samples of Response Curves II: A K Sample Generalization of the F RIEDMAN Test
Author(s) -
Lehmacher W.
Publication year - 1979
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710210205
Subject(s) - nonparametric statistics , mathematics , generalization , statistics , test statistic , homogeneity (statistics) , multivariate statistics , statistic , goldfeld–quandt test , sign test , combinatorics , statistical hypothesis testing , mathematical analysis , wilcoxon signed rank test , z test , mann–whitney u test
A K sample generalization of the F RIEDMAN test (1937) is introduced which can be used as a nonparametric procedure for testing the homogeneity of the profiles of K independent samples of response curves measured at T identical points of time. While a similar procedure in L EHMACHER & W ALL (1978), section 3, is based on T combined tests, each of them at level a/T , here a finite and asymptotic test is presented which is based on a single test statistic. The application of the new multivariate test is illustrated by the same numerical example as in L EHMACHER & W ALL (1978). The properties of this test are discussed and compared with the combined test mentioned above.