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Exact F Tests for the Method of Unweighted Means in a 2k Experiment

F. M. Speed and Charles J. Monlezun
The American Statistician
Vol. 33, No. 1 (Feb., 1979), pp. 15-18
DOI: 10.2307/2683060
Stable URL: http://www.jstor.org/stable/2683060
Page Count: 4
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Exact F Tests for the Method of Unweighted Means in a 2k Experiment
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Abstract

The analysis of a general k-factor factorial experiment having unequal numbers of observations per cell is complex. For the special case of a 2k experiment with unequal numbers of observations per cell, the method of unweighted means provides a simple vehicle for analysis that requires no matrix inversion and can be used with existing software programs for the analysis of balanced data. All numerator sums of squares for testing main effects and interactions are χ2 with one degree of freedom. In addition, for tests having one degree of freedom in any factorial experiment, the method of unweighted means may be modified to yield exact tests.

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