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

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


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.)

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