Empirical likelihood (EL) ratio tests are developed for testing for or against the hypothesis that k-population means μ1, μ2, . . . , μk are isotonic with respect to some quasi-order ≼ on {1, 2, . . . , k}. The null asymptotic distributions are derived and are shown to be of chibar squared type. The asymptotic power of the proposed test for testing for equality of these means against the order ...

Classical confidence intervals for the ratio of variance components can degenerate to a single point with positive probability, leaving no allowance for error. An alternative method is considered which avoids this problem, but maintains the frequentist coverage probability. The alternative intervals are compared to Bayesian credible intervals, derived from a non-informative prior; and the Bayes...

The point estimation of the ratio of variance components and the intraclass correlation coefficient for the unbalanced one way random effects model are considered. ANOVA, REML, ML, MIVQUE, MINQE type, and MU (median unbiased) estimators are compared with respect to their absolute biases and mean squared errors through a simulation study. Explicit, computable expressions with no matrix inversion...

Abstract: We consider a test for the hypothesis that the within-treatment variance component in a one-way random effects model is null. This test is based on a decomposition of a U -statistic. Its asymptotic null distribution is derived under the mild regularity condition that the second moment of the random effects and the fourth moment of the within-treatment errors are finite. Under the addi...

Biological invasions represent major threats to biodiversity as well as large-scale evolutionary experiments. Invasive populations have provided some of the best known examples of contemporary evolution [3-6], challenging the classical view that invasive species are genetically depauperate because of founder effects. Yet the origin of trait genetic variance in invasive populations largely remai...

Statistical analysis of the interaction effect in a two-way analysis of a variance/covariance model (typically unbalanced) is often performed to provide some additional support for the assessment of the main effect of interest. For example, an analysis of treatment-by-center interaction, in addition to the assessment of treatment effect, is required by the International Conference on Harmonizat...

This work aims to presented the k way nested random models (designs) and discuss the estimators for the variance components in this kind of models presented by Henderson (1953), proposing condition concern their existence, as well as its two proposed modifications presented by Khattree (1999). At the first proposal, where he choose to sacrifice the unbiasedness of the Henderson's one to preserv...