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Exact Simultaneous Comparisons with Control in an r × c Contingency Table
Author(s) -
Passing H.
Publication year - 1984
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.4710260610
Subject(s) - contingency table , categorical variable , mathematics , statistic , statistics , test statistic , table (database) , monte carlo method , group (periodic table) , statistical hypothesis testing , computer science , data mining , chemistry , organic chemistry
Let categorical data coming from a control group and ( r ‐ 1) treated groups be given in an r × c contingency table. A simultaneous test procedure of the ( r ‐ 1) hypotheses that the probabilities of all c categories do not differ between the i ‐th treated group and the control is derived. For small tables and small cell frequencies it is exactly performed by generation of all tables having the given marginal sums. If 2 categories or 2 groups only are given the asymptotic distribution of the test statistic is known; otherwise its distribution may be simulated if the computational expenditure of performing an exact test is too large. By means of a Monte Carlo study it is shown that this method meets its level more reliably and that it has a better power than others.