Outliers in block designs for diallel crosses

摘要

The purpose of this article is to formulate a test statistic for detection of a single outlier in block designs for diallel crosses. A correspondence between two existing criteria of robustness against a single outlier i.e. minimization of average Cook-statistic and minimization of variance of discrepancy or bias in estimation of error variance is established. It has been shown that a proper binary balanced block design for diallel crosses is robust against the presence of a single outlier. Block designs for diallel crosses in which every line appears an equal number of times in each block are also found to be robust against the presence of a single outlier.