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To some reasonable test procedures in multiple contingency tables to investigate certain epidemiological or medicin‐sociological relationships
Author(s) -
Enke H.
Publication year - 1980
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710220813
Subject(s) - contingency table , pairwise comparison , contingency , independence (probability theory) , mathematics , simple (philosophy) , statistical hypothesis testing , conditional independence , test (biology) , econometrics , statistics , epistemology , paleontology , philosophy , biology
One of the most important tasks of the application of mathematical‐statistical methods consists in giving help in the search for possible relationships, and connected with this, the specification of new hypotheses. The progress of both the special diciplines of sciences and mathematical statistics itself leads to the application of more and more complex, that means multivariate, methods. In medical fields, especially in epidemiological and medicin‐sociological studies, this fact means the necessity of analysing multidimensional contingency tables. The above formulated problem is equivalent to the problem of fitting an appropriate mathematical model (for contingency tables is this a log‐linear model) to the data in a way which makes the structural relationships clear to us. In this paper it is shown that one is able to get to well‐interpretable models of independence with relatively simple means. Two stepwise test procedures are described yielding essentially the same results: a so called reduction procedure which is particularly profitable in sparsely occupied tables and a procedure which uses a combination of hypotheses of conditional pairwise independence.