Abstract
Six methods of obtaining estimates of treatment effects in a row-column design are considered. Five methods use estimates of inter-row and inter-column variation, and the remaining method is Ordinary Least Squares. Using simulation, these methods are examined to see which are most appropriate for minimising the sum of the squared differences between the estimates of the elementary treatment contrasts and their true values. Recommendations are made of which methods to use.
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Eccleston, J. A. and John, J. A. (1986) Recovery of row and column information in row-column designs with adjusted orthogonality. J. R. Statist. Soc., B 48, 238–43.
Eccleston, J. and Russell, K. (1975) Connectedness and or-thogonality in multi-factor designs. Biometrika, 62, 341–45.
Eccleston, J. A. and Russell, K. G. (1977) Adjusted orthogonality in nonorthogonal designs. Biometrika, 64, 339–45.
Numerical Algorithms Group Ltd, The, Wilkinson House, Jordan Hill Road, Oxford OX2 8DR, UK, Genstat 5.
Patterson, H. D. and Thompson, R. (1971) Recovery of inter-block information when block sizes are unequal. Biometrika, 58, 545–54.
Shah, K. R. (1988) On uniformly better combined estimates in row-column designs with adjusted orthogonality. Commun. Statist.-Theor. Meth., A 17, 3121–24.
Shah, K. R. (1992) Recovery of interblock information: an up-date. J. Statist. Planning and Inference, 30, 163–72.
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Russell, K.G. A comparison of six methods of analysing row-column designs with inter-block information. Statistics and Computing 9, 239–246 (1999). https://doi.org/10.1023/A:1008934318578
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DOI: https://doi.org/10.1023/A:1008934318578