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A Modified Exact Test for 2 × 2 Contingency Tables
Author(s) -
Haber M.
Publication year - 1986
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.4710280414
Subject(s) - contingency table , test (biology) , exact test , mathematics , statistics , goldfeld–quandt test , exact statistics , statistical hypothesis testing , algorithm , z test , test statistic , biology , paleontology
A modified exact test is proposed for 2×2 contingency tables. This test, which is based on a less conservative definition of the concept of significance (STONE, 1969) is compared with a modified form of Pearson's X 2 test and with Tocher's randomized exact (UMPU) test. The sizes of the new test lie near the nominal 0.05 levels while those of the X 2 test usually exceed the nominal level, sometimes by a factor of 2 or more. The power of the modified test is usually close to that of the UMPU test.