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Data Transformation in Two-Way Analysis of Variance

James J. Schlesselman
Journal of the American Statistical Association
Vol. 68, No. 342 (Jun., 1973), pp. 369-378
DOI: 10.2307/2284078
Stable URL: http://www.jstor.org/stable/2284078
Page Count: 10
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Data Transformation in Two-Way Analysis of Variance
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Abstract

A procedure for choosing a power transformation so that data from a replicated two-way classification better satisfy the usual analysis of variance assumptions is described. The statistic proposed in this article is compared with the Box and Cox [7] likelihood procedure by empirical sampling. Its 95 percent confidence intervals performed at their nominal level, which was not true for the likelihood method. Point estimates for both techniques were the same on the average, although those based upon the likelihood statistic were somewhat less variable.

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