Accession Number:

ADA149457

Title:

A New Method of Approximating Normal and t-Tail Areas.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1984-09-01

Pagination or Media Count:

11.0

Abstract:

The bounds of Boyd and Soms for the tail areas of the normal and t-distributions are used to obtain a new method of approximating the tail areas. The absolute and relative errors are given. A reasonable accurate and simple method of evaluating normal and t-tail areas and percentiles is described. This approach controls both absolute and relative errors, unlike the usual methods which only control the absolute error. The control of both errors is of importance in calculating Bonferroni percentiles and Bonferroni descriptive probability levels, which are useful in simultaneous inference. For example, a nonspecialist in statistics, unaware of the limitations of standard routines, might report a Bonferroni descriptive probability level that had a relative error of 100 or more. Authr.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE