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On a Preliminary Test for Pooling Mean Squares in the Analysis of Variance

A. E. Paull
The Annals of Mathematical Statistics
Vol. 21, No. 4 (Dec., 1950), pp. 539-556
Stable URL: http://www.jstor.org/stable/2236605
Page Count: 18
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
On a Preliminary Test for Pooling Mean Squares in the Analysis of Variance
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Abstract

The paper describes the consequences of performing a preliminary F-test in the analysis of variance. The use of the 5% or 25% significance level for the preliminary test results in disturbances that are frequently large enough to lead to incorrect inferences in the final test. A more stable procedure is recommended for performing the preliminary test in which the two mean squares are pooled only if their ratio is less than twice the 50% point.

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