On some linera and log-linear problems about the marginal distributions of two-and three-dimensional contingency tables

摘要

Using the properties of hypothese separability, tests of marginal linear and log-linear hypothese in the two and three-dimensional contingency tables are given. Equally these properties given rise to parameters estimations under marginal linear and log linear restraints. The calculation of the statistics and of the estimations under restraints does not need matrix inversion nor iterative procedures. A numerical example is given.