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THE ROBUSTNESS OF THE F TEST TO VIOLATIONS OF CONTINUITY AND FORM OF TREATMENT POPULATION †
Author(s) -
Bevan Mark F.,
Denton James Q.,
Myers Jerome L.
Publication year - 1974
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1974.tb00540.x
Subject(s) - kurtosis , mathematics , robustness (evolution) , type i and type ii errors , skewness , statistics , population , measure (data warehouse) , econometrics , computer science , medicine , data mining , biochemistry , chemistry , gene , environmental health
This paper considers the appropriateness of the F test when the dependent measure is discretely distributed and takes on only a small number of possible values ( m = 3, 5 or 7). Effects of α level, number and size of treatment groups, and skewness and kurtosis of the parent population are described. Results are consistent with those previously reported for continuously distributed measures; the F test is quite robust with respect to Type I error rate.