You are here:
SMALL SAMPLE PROPERTIES OF VARIOUS TESTS ON 2 X 2 TABLES
Citation:
Hasselblad, V. AND A. Stead. SMALL SAMPLE PROPERTIES OF VARIOUS TESTS ON 2 X 2 TABLES. U.S. Environmental Protection Agency, Washington, D.C., EPA/600/9-80/029.
Description:
With particular interest in the likelihood ratio tests and tests generated by the categorical analysis methods of Grizzle, Starmer, and Koch, the small sample behavior of actual alpha levels is graphically illustrated for several asymptotically chi-square statistics when testing is performed on 2 x 2 contingency table data at a nominal level of .05. This behavior is examined for hypotheses testing both homogeneity and independence. In the homogeneity case, the effects on these levels are examined for equal or unequal sample sizes. In the independence case, the effects of different constraints concerning individual cell probabilities are demonstrated. Visual comparisons of the power of the likelihood ratio and the Grizzle, Starmer, Koch related statistics are also provided.