skip to main content skip to footer

Small Sample Properties of Asymptotic Formulas for Expected Sample Size Savings in Curtailed Binomial Tests

Author(s):
Herrmann, Nira; Szatrowski, Ted H.
Publication Year:
1982
Report Number:
RR-82-16, PSRTR-82-31
Source:
ETS Research Report
Document Type:
Report
Page Count:
28
Subject/Key Words:
National Institute of Environmental Health Sciences, Mathematical Formulas, Sampling, Statistical Analysis

Abstract

Asymptotic formulas for expected sample size savings in curtailed binomial tests are derived using a central limit theorem of Feller (1943). Exact results for the expected sample size savings and the forms of the one- and two-sided curtailed tests are reviewed. The small sample properties of the asymptotic approximation are discussed and comparisons with the exact values and the recent results of Eisenberg and Ghosh (1981) are presented. The asymptotic results derived here compare very favorably to the exact results. (28pp.)

Read More