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Abstract
Summary The modified latin square design (semi-latin square) is described and discussed. The expectations of the mean squares are derived and, from these, the nature of the bias is developed. Empirical values of the bias are obtained from some corn uniformity data and found to be small. An unbiased estimator of the error of a comparison among treatments is obtained. A formula for obtaining the efficiency of the modified latin square relative to randomized blocks, using modified latin square data, is given and this formula is applied to the uniformity data. The efficiency of the modified latin square with this type of data is found to be of the order of lattice designs. The analysis of variance of a group of modified latin square designs performed at different “places” is discussed.
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Schedule a callMore From: Journal of the Royal Statistical Society Series B: Statistical Methodology
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