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On some linera and log-linear problems about the marginal distributions of two-and three-dimensional contingency tables
Author:
JEAN-REN
Mathieu a
Mathieu a
| Affiliation: | a Universit Paul Sabatier, Laboratoire de Statistique et Probabilits, Toulouse Cedex, France |
DOI:
10.1080/02331888708801990
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
PDF
(English)
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Abstract
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.
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| Keywords: Primary 62 H 17; secondary 62 F 10; Contingency tables; marginal homogeneity; separability of hypotheses |
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