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Methods Inf Med 1985; 24(01): 35-36
DOI: 10.1055/s-0038-1635353
Original Article
Schattauer GmbH

On the Analysis of Three-Dimensional Contingency Tables-Application to the Influence of Allergy and Age on Cancer

Über die Analyse dreidimensionaler Kontingenztafeln – Anwendung auf den Einfluß von Allergie und Alter auf Krebs
M. A. A. Moussa
1   (From the Faculty of Medicine and the Cancer Control Centre, Kuwait)
,
A. M. Karnik
1   (From the Faculty of Medicine and the Cancer Control Centre, Kuwait)
,
Y. T. Omar
1   (From the Faculty of Medicine and the Cancer Control Centre, Kuwait)
,
F. F. Fenech
1   (From the Faculty of Medicine and the Cancer Control Centre, Kuwait)
› Author Affiliations
Further Information

Publication History

Publication Date:
20 February 2018 (online)

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Summary

A procedure is described for the analysis of I × J × K cross-classifications. This includes 1. selecting the appropriate model by iterative proportional fitting of the data to relevant configurations of log-linear models; 2. assumptions underlying reduction of three-way tables to two dimensions; 3. the Mantel-Haenszel statistic with reference to its relation to log-linear models.

The methods are applied to a data set based on a study recently conducted at the Cancer Control Centre, Kuwait to investigate the relation between allergy and cancer. It was concluded that the allergy rate is significantly lower in the cancer group which suggests that allergy could be a protective factor against cancer.

Ein Verfahren zur Analyse von I × J × K Kreuzklassifikationen wird beschrieben. Dies beinhaltet 1. die Auswahl des geeigneten Modells durch iterative proportionale Anpassung der Daten an relevante Konfigurationen log-linearer Modelle; 2. Annahmen, die der Reduktion von Dreiwegtabellen auf zwei Dimensionen zugrunde liegen; 3. den Mantel-Haenszel-Test in bezug auf seine Beziehung zu log-linearen Modellen.

Die Methoden werden auf einen Datensatz angewendet, der auf einer kürzlich im Cancer Control Centre von Kuwait durchgeführten Studie zur Untersuchung der Beziehung zwischen Allergie und Krebs basiert. Man kam zu der Schlußfolgerung, daß die Allergierate in der Gruppe der Krebspatienten erheblich niedriger ist, was zu der Annahme führt, daß Allergie ein Schutzfaktor gegen Krebs sein könnte.

Key-Words:

Three-Way Contingency Tables - Log-Linear Models - Mantel-Haenszel Statistic

Schlüssel-Wörter:

Dreiwegkontingenztafeln - log-lineare Modelle - Mantel-Haenszel-Test
 

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