SOME BOUNDED SIGNIFICANCE LEVEL PROPERTIES OF THE EQUAL-TAIL SIGN TEST
Abstract
The purpose of this paper was to investigate under what generalized conditions the equal-tail sign test for the median is a satisfactory approximation to the corresponding generalized test in the sense that the significance levels are nearly the same. It was found that the significance levels of the two tests are approximately equal for a wide variety of situations if the number of observations is not large. This, from the viewpoint of significance level, the equal-tail sign test for the median is an idealization which represents a sufficiently accurate approximation to the test of interest for many practical cases. This significance level stability, combined with its other favorable properties, suggests that the equal-tail sign test be seriously considered for application whenever the population median is to be tested on the basis of a small number of observations. Corresponding confidence interval properties are also derived.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 03, 1951
- Accession Number
- AD0603800
Entities
People
- John E. Walsh
Organizations
- RAND Corporation