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On Permutation Tests in Multiple Regression and Analysis of Covariance Problems
Author(s) -
Oja Hannu
Publication year - 1987
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1987.tb00724.x
Subject(s) - covariate , permutation (music) , covariance , statistics , mathematics , multivariate statistics , analysis of covariance , resampling , multivariate normal distribution , regression analysis , regression , multivariate analysis , variable (mathematics) , econometrics , physics , mathematical analysis , acoustics
Summary We introduce distribution‐free permutation tests and corresponding estimates for studying the effect of a treatment variable x on a response y. The methods apply in the presence of a multivariate covariate z. They are based on the assumption that the treatment values are assigned randomly to the subjects.