论文信息 - Raised conditional level of significance for the 2 × 2‐table when testing the equality of two probabilities

Raised conditional level of significance for the 2 × 2‐table when testing the equality of two probabilities

In this paper it is to be shown that Fisher's non‐randomizing exact test for 2 × 2‐tables, which is a conditional test, can by simple means be changed into an unconditional test using raised levels of significance; not seldom, especially for not too large samples, the level of significance can be doubled. This leads in many cases to a considerable increase of power of the test. A table with raised levels has been prepared up to sample sizes of 50 and a rule of thumb, which can be used if this table is not available, has been developEd.

R. D. Boschloo

[1] P. Patnaik,et al. The power function of the test for the difference between two proportions in a 2 X 2 table. , 1948, Biometrika.

[2] AUDREY M. B. PARKER. Unit Cell and Space-Group of Cc2Al9 , 1945, Nature.

[3] G. Barnard,et al. A New Test for 2 × 2 Tables , 1945 .

[4] K. D. Tocher. Extension of the Neyman-Pearson theory of tests to discontinuous variates. , 1950, Biometrika.

[5] G. Klerk‐Grobben,et al. Toets voor de gelijkheid van twee kleine kansen met behulp van even grote steekproeven en net onderscheidingsvermogen van deze toets1 , 1954 .

[6] R. Fisher,et al. A New Test for 2 × 2 Tables , 1945, Nature.

[7] G. Barnard. Significance tests for 2 X 2 tables. , 1947, Biometrika.

[8] B. M. Bennett,et al. On the power function of the exact test for the 2×2 contingency table , 1960 .