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On two approximations to the F ‐distribution: Application to testing for intraclass correlation in family studies
Author(s) -
Donner Allan,
Wells George A.,
Eliasziw Michael
Publication year - 1989
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 - 10.2307/3314849
Subject(s) - intraclass correlation , context (archaeology) , computation , mathematics , correlation , distribution (mathematics) , statistics , algorithm , mathematical analysis , psychometrics , geometry , paleontology , biology
Two approximations to the F ‐distribution are evaluated in the context of testing for intraclass correlation in the analysis of family data. The evaluation is based on a computation of empirical significance levels and a comparison between p ‐values associated with these approximations and the corresponding exact p ‐values. It is found that the approximate methods may give very unsatisfactory results, and exact methods are therefore recommended for general use.