A test is developed for hypotheses about the grand mean in the analysis of variance, using the known relationship between the t distribution and the F distribution with 1 df for the numerator. Examples are given to suggest that the test may be of value in some research settings, especially when a known comparison population exists, and collection of data on a control group is expensive. Where appropriate, the test is efficient, as its addition to a standard analysis of variance requires no additional data collection and results in no loss of df from other comparisons in the analysis.
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