On the Use of Confidence Regions to Test Hypotheses

Article

Jones, Donald A.; Karson, Marvin J.   (1972, ASQC)   University of Michigan, Ann Arbor, MI

Journal of Quality Technology    Vol. 4    No. 3
QICID: 5119    July 1972    pp. 156-158
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Article Abstract

The relationship between the rest of equality for two population means and the intersection of confidence intervals for the two means was developed in "Using Confidence Intervals to Test Hypotheses" by D.R. Barr in the October 1969 issue of JQT. In this paper an alternative procedure based on the best confidence region is developed. This alternative extends in a natural way for those cases when the standard deviation is unknown and/or the quality of more than two means is being tested.

Keywords

Confidence intervals,Hypothesis testing,Region of interest


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