A Confidence Interval Comparison of Two Test Procedures Proposed for the Behrens-Fisher Problem.

S. James Press

Expert InsightsPublished 1965

A comparison of the procedures of Scheffe and Welch for testing equality of means, according to the expected lengths of the confidence intervals they yield. A criterion is developed for deciding which method is better in any given situation. An expression for the expected length of the confidence interval for the Scheffe procedure was developed by him. Because of the asymptotic series nature of the Welch procedure, in this case, the analogous expression is more involved, and is developed in the paper. Graphs are provided to summarize the numerical results. Finally, it is shown that, in large samples, the two procedures are equivalent. 19 pp.

Document Details

  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1965
  • Pages: 19
  • Document Number: P-2999-1

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Press, S. James, A Confidence Interval Comparison of Two Test Procedures Proposed for the Behrens-Fisher Problem. Santa Monica, CA: RAND Corporation, 1965. https://www.rand.org/pubs/papers/P2999-1.html.
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