In this article, we propose a parametric bootstrap (PB) test for testing main, simple and interaction effects in heteroscedastic two-way MANOVA models under multivariate normality. The PB test is shown to be invariant under permutation-transformations, and affinetransformations, respectively.Moreover, the PB test is independent of the choice ofweights used to define the parameters uniquely. The...

The conventional approach for testing the equality of two normal mean vectors is to test first the equality of covariance matrices, and if the equality assumption is tenable, then use the two-sample Hotelling T (2) test. Otherwise one can use one of the approximate tests for the multivariate Behrens-Fisher problem. In this article, we study the properties of the Hotelling T (2) test, the conven...

This article analyzes the analogue ofHotellingls duopoly model when products are dejned by two characteristics. Using the assumptions of the original model of Hotelling, we show that demand and projt functions are continuous for a wide class of utility functions. When the utilityfunction is linear in the Euclidean distance in the space of characteristics, a noncooperative equilibrium in prices ...

The scientific literature is abundant regarding control charts in multivariate environments for numerical and mixed data; however, there are few publications qualitative data. Qualitative variables provide valuable information on processes various industrial, productive, technological, health contexts. Social no exception. There multiple nominal ordinal categorical used economics, psychology, l...

<p><strong>Objective:</strong> To determine the association of GH gene diversity with growth traits and to obtain morphometric characteristics in Kerinci ducks.</p><p><strong>Methods:</strong> The research method is an experiment using 96 blood samples duck blood. methods included data collection on quantitative (body weight, body weight gain, measureme...

We consider the problem of computing the power of some usual F transforms of the Wilks U, Hotelling-Lawley T, and Pillai V statistics for testing H0: CBA = Œ0 under the multivariate general linear model, Y = XB + ‰ , where the rows of ‰A are taken as independent N(0, Í) random vectors. Keeping all these matrices at full rank, let C be rC × rX and A be P × rA. For determining p-values, Fi (i ∈ {...

The interrelationships between plasma beta-carotene, alpha-tocopherol, and the level of systemic inflammation and oxidative stress were investigated in patients with advanced coronary artery disease (CAD). Plasma beta-carotene, alpha-tocopherol, malondialdehyde, free radicals, interleukin-6, high sensitive C-reactive protein levels, and other risk factors of CAD were determined in a group of pa...

In this paper we study variations of the standard Hotelling-Downs model of spatial competition, where each agent attracts the clients in a restricted neighborhood, each client randomly picks one attractive agent for service. Two utility functions for agents are considered: support utility and winner utility. We generalize the results by Feldman et al. to the case where the clients are distribut...