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Power calculations for detecting interaction in stratified 2×2 tables

✍ Scribed by Joseph Gardiner; Dorothy Pathak; Alka Indurkhya

Book ID
104302944
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
99 KB
Volume
41
Category
Article
ISSN
0167-7152

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✦ Synopsis

Given several 2 × 2 contingency tables, the ÿrst step in epidemiologic research is to test for homogeneity of odds ratios across these tables. A second problem of equal interest, but often overlooked, is to evaluate the power of detection of interaction if it is present. We address the latter issue in the context of 2 × 2 contingency tables. For the 2 × 2 × 2 case, given the marginal totals and the odds ratios for the respective two tables, we provide a closed form power formula for the rejection of the null hypothesis of homogeneity of the odds ratios. For several 2 × 2 tables, we provide a resampling approach to assessing the power for detecting interaction, if present.

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The Power Function of the Test for ‘No T
The Power Function of the Test for ‘No Three Factor Interaction’ in 2×2×2 Contingency Tables
✍ Dr. M. Haber 📂 Article 📅 1985 🏛 John Wiley and Sons 🌐 English ⚖ 203 KB 👁 3 views

Three approximations to the power function of the chi-square teat for the hypothema of 'no three factor interaction' in a 2 x2 x2 contingency table are introduced and compared. The firat method is baaed on the aampling distribution of the logarithm of the odds ratio, the second-on the noncentral dis