Robustness of a class of partial diallel cross designs to the unavailability of a complete block of observations.

Mansson, Ralph and Prescott, Philip (2004) Robustness of a class of partial diallel cross designs to the unavailability of a complete block of observations. Journal of Applied Statistics, 31 (2), 145-160. (doi:10.1080/0266476032000148830).

Record type: Article

Abstract

Complete and partial diallel cross designs are examined as to their construction and robustness against the loss of a block of observations. A simple generalized inverse is found for the information matrix of the line effects, which allows evaluation of expressions for the variances of the line-effect differences with and without the missing block. A-efficiencies, based on average variances of the elementary contrasts of the line-effects, suggest that these designs are fairly robust. The loss of efficiency is generally less than 10%, but it is shown that specific comparisons might suffer a loss of efficiency of as much as 40%.

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Published date: 2004

Keywords: partially balanced incomplete block designs, group divisible designs, information matrix, generalized inverse, eigenvalues, pairwise variances of treatment differences

Organisations: Statistics