Permutation approach for adjusted Durbin rank test used in balanced incomplete block designs for tied data

Document Type: Regular Paper

Authors

Department of Statistics, Faculty of Science, Gazi University, Teknikokullar Ankara, Turkey

Abstract

Durbin's rank test is widely used for testing treatment effects in Balanced Incomplete Block Designs (BIBDs)
which have wide applications in sensory analysis. This test is failed for BIBDs when ties data occur. An adjusted version of Durbin rank test for this kind of data is given to solve this problem. Chi-square approximation, which is commonly used for this test, is not adequate for small BIBDs. For this case, we investigate permutation approach for adjusted Durbin rank test. Also, in this study the tests used in BIBDs are compared by simulation study for tied data, which have not been discussed in the sensory literature.

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