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RESEARCH PRODUCT

Test Procedures in Configural Frequency Analysis (CFA) Controlling the Local and Multiple Level

H.‐g. PerliH.‐g. PerliGerhard HommelW. Lehmacher

subject

Statistics and ProbabilityContingency tableGeneral MedicineTest (assessment)StatisticsPortmanteau testEconometricsChi-square testTest statisticStatistics Probability and UncertaintyConfigural frequency analysisIndependence (probability theory)MathematicsStatistical hypothesis testing

description

The test statistics used until now in the CFA have been developed under the assumption of the overall hypothesis of total independence. Therefore, the multiple test procedures based on these statistics are really only different tests of the overall hypothesis. If one likes to test a special cell hypothesis, one should only assume that this hypothesis is true and not the whole overall hypothesis. Such cell tests can then be used as elements of a multiple test procedure. In this paper it is shown that the usual test procedures can be very anticonservative (except of the two-dimensional, and, for some procedures, the three-dimensional case), and corrected test procedures are developed. Furthermore, for the construction of multiple tests controlling the multiple level, modifications of Holm's (1979) procedure are proposed which lead to sharper results than his general procedure and can also be performed very easily.

https://doi.org/10.1002/bimj.4710290302