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On the Best Test for Non‐Additivity
Author(s) -
Onukogu Ike B.
Publication year - 1984
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.4710260104
Subject(s) - additive function , mathematics , goodness of fit , test (biology) , class (philosophy) , statistics , correlation , econometrics , computer science , artificial intelligence , mathematical analysis , paleontology , geometry , biology
The paper introduces the concept of confounded hypotheses. In particular, it is shown that the test of goodness‐of‐fit is confounded with the test of no interaction in a two‐way classification with one observation per cell. Further, the multiple correlation coefficient is shown to be a good criterion for choosing the best from a class of good tests for non‐additivity. Finally, the question is posed about whether different statistically adequate models do converge in some sense to the same or related mathematical functions.

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