Title of article :
Tests about a Set of Multivariate Simple Linear Models
Author/Authors :
Díaz-García, José A Universidad Autónoma de Chihuahua - Facultad de Zootecnia y Ecología, Periférico Fran- cisco R. Almada Km 1, Zootecnia, Chihuahua, México , Martínez-Jaime, Oscar A Universidad de Guanajuato - Departamento de Agronomía - División Ciencias de la Vida, Campus Irapuato-Salamanca, Ex-Hacienda "El Copal", Km. 9; carretera Irapuato-Silao, Guanajuato, México
Abstract :
In this article, the tests on parallelism, equal intercept and sets of lines in-
tersected at a fixed value for a set of r simple linear models or a set of r linearizable
regression models are generalized to the multivariate case, r = 2; 3; : : : ;R. Likewise,
the normality hypothesis is replaced assuming an elliptical matrix variate distribution,
concluding that the tests obtained under normality are valid and are invariant under
the whole family of elliptical matrix variate distributions. Finally, an application in an
agricultural acarology context is provided.
Keywords :
Union-Intersection Principles , Par- allelism , Multivariate Linear Models , Likelihood Rate , Elliptical Distributions
