A STATISTICAL TEST FOR RANKING DATA FROM PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS

permutation approach for adjusted durbin rank test used in balanced incomplete block designs for tied data

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 bib...

Splitting balanced incomplete block designs

A-efficient balanced treatment incomplete block designs

The purpose of this paper is to present a large number of highly A-efficient incomplete block designs for making comparisons among a set of test treatments and a control treatment. These designs are BTIB designs. A simple method of construction of BTIB designs, based on BIB designs is proposed. The advantage of this method is that one can use the vast literature on BIB designs to obtain a large...

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

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 BI...

Robustness of Nested Balanced Incomplete Block Designs Against Missing Data

Robustness aspects of nested balanced incomplete block designs against missing data have been investigated using connectedness and efficiency criteria. Sufficient condition for robustness of a design has been obtained for the loss of any m observations, using connectedness criterion. Designs robust against the loss of any m observations belonging to one sub-block, loss of any two observations b...