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Considering of certain relevant information in the analysis of contingency tables. A three‐step procedure
Author(s) -
Enke H.
Publication year - 1982
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.4710240608
Subject(s) - contingency table , mathematics , heuristic , independence (probability theory) , conditional independence , table (database) , contingency , computer science , statistics , algorithm , data mining , mathematical optimization , linguistics , philosophy
Abstract A heuristic three‐step procedure for analysing multidimensional contingency tables is given to meet the requirements of a mixed analysis from both hypotheses‐ruled and data‐ruled type. The first‐step provides the structure of relationships among the attributes by fitting an appropriate unsaturated log‐linear model to the data of the given contingency table. Restriction to elementary hierarchical models allows to get them by combining pairs of conditional independence. The result of the first step may be regarded as a certain validisation of real model ideas. In the second step the significant pairs of conditional dependence are analysed in regard to the levels of the condition complex. Only such significant pairs are to be considered, in general, where the condition complex does not include the response variable. The third‐step may test special subtests in that significant two‐dimensional tables found in step two or may extend the general statements by partitioning, the corresponding test statistics in additive components. Application examples demonstrate the general line of action.