Interactions in Multidimensional Contingency Tables

摘要: contingency table (r = 0, 1, 2, * *, m - 1), and we shall present methods for testing the hypothesis that any specified subset of these interactions is equal to zero. In addition, simple obtaining simnultaneous confidence intervals or them. special case where m-dimensional a 2 X ... (i.e., di i .. -, m), rth order defined herein are same as Good's [9], but tests proposed by Good different even in this from those presented herein. When > some values i, complex valued, whereas here real valued. We show H, all higher-order (defined Good) zero equivalent H* herein) zero, test within H,, < s) asymptotically (under H,) The are, cases, easier apply than tests. applicable wider range problems sense can be used null more general generalizations earlier Plackett [13] Goodman [10] H2* three