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Sensitivity of the χ 2 Goodness‐of‐Fit Test to the Choice of Classes
Author(s) -
Mooney Jennifer,
Jolliffe Ian
Publication year - 2004
Publication title -
teaching statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.425
H-Index - 13
eISSN - 1467-9639
pISSN - 0141-982X
DOI - 10.1111/j.1467-9639.2004.00140.x
Subject(s) - goodness of fit , sensitivity (control systems) , test (biology) , statistics , mathematics , econometrics , paleontology , electronic engineering , engineering , biology
Summary The χ 2 goodness‐of‐fit test is often one of the first tests of hypotheses encountered by students. When some of the expected frequencies are small, classes need to be combined. A real‐life example is given that illustrates a surprising sensitivity of the results of the test to the way in which such combinations are chosen.