Format:
Online-Ressource
ISSN:
1521-4036
Content:
Abstract: Incomplete contingency tables, i.e. tables with structurally caused empty cells, are analysed by means of so‐called quasilog‐linear models. In general the expected values can be calculated by means of iterative cyclic adaption to corresponding marginals of the empirical contingency tables (in the same way as in complete tables) under different hierarchical hypotheses concerning the parameters of the models. For important cases of 2‐dimensional contingency tables it is possible to demonstrate that expected values and test statistics are to find in a closed form. If all 2‐dimensional sub or partial tables of a 3‐dimensional table can be assigned to such cases then the hypotheses of classes (AB×C) (), (B×C)/A (), (AB)/A () etc. are testable in closed form. But the expected values to (A×B×C) (×) have to be calculated iteratively. An example shows that some definite additive decompositions of the test statistic 2 I are no longer valid while some others remain valid in spite of incompleteness of the tables.
In:
volume:20
In:
number:3
In:
year:2007
In:
pages:229-242
In:
extent:14
In:
Biometrical journal, Berlin : Wiley-VCH, 1977-, 20, Heft 3 (2007), 229-242 (gesamt 14), 1521-4036
Language:
English
DOI:
10.1002/bimj.4710200304
URN:
urn:nbn:de:101:1-2405170440322.526956962681
URL:
https://doi.org/10.1002/bimj.4710200304
URL:
https://nbn-resolving.org/urn:nbn:de:101:1-2405170440322.526956962681
URL:
https://d-nb.info/1329742710/34
URL:
https://doi.org/10.1002/bimj.4710200304
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