Robustness of diallel cross designs to the loss of one or more observations.

Prescott, Philip and Mansson, Ralph (2004) Robustness of diallel cross designs to the loss of one or more observations. Computational Statistics and Data Analysis, 47 (1), 91-109. (doi:10.1016/j.csda.2003.10.020).

Abstract

The effects of missing observations on complete and partial diallel cross designs are examined. A-efficiencies, based on average variances of the elementary contrasts of the line-effects, suggest that these designs are fairly robust. Simple g-inverses may be found for the information matrices of the line effects which allow evaluation of expressions for the variances of the line-effect differences with and without the missing observations. It is shown that, for small designs or when the number of lines is large, the reduction in efficiency for individual line comparisons can be quite large. When these designs are employed, care should be taken to ensure that individual observations are not lost.

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