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Abstract Several possible methods are presented for constructing confidence intervals for the means of normally distributed, dependent variables when nothing is known about the correlations. One, which uses the Student t distribution, is found, when the degrees of freedom is not too small compared to the number of variables, to give intervals almost as short as can possibly be attained. Methods based on Hotelling's T and on Scheffé's confidence intervals for all linear contrasts are found to yield intervals appreciably longer than those using the t distribution. The extent to which these intervals may be shortened when some knowledge of the correlation structure is available is suggested as a problem for investigation.
Olive Jean Dunn (Tue,) studied this question.