Suppose Xij, i=1, 2,..., k, j=1, 2,..., ni, are random samples from independent populations distributed according to an exponential family with parameter [theta]i. Let Yi be the minimal sufficient statistic for population i and assume that the sum of any subset of the Yi, i=1, 2,..., k, is also...

Lee (1987) proposes four test statistics for testing homogeneity of multinomial parameters against an order-restricted alternative. We show that two of the four tests are often not monotone in some direction dictated by the ordered alternative. In such cases, oftentimes the tests based on these...

Consider k-independent normal populations with unknown means. Test the null hypothesis that the vector of means lies in a linear subspace (For example, the null could be all parameters are equal.) The alternative is that the vector of means lies in a closed convex cone (but not a linear...