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BOUNDS FOR THE AVERAGE SAMPLE NUMBER FUNCTION FOR A BINOMIAL SEQUENTIAL TEST
Author(s) -
Billard L.
Publication year - 1977
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1977.tb01083.x
Subject(s) - mathematics , binomial (polynomial) , binomial distribution , binomial test , sample (material) , negative binomial distribution , statistics , function (biology) , sample size determination , null hypothesis
Summary Recently, Billard (1977) developed a partial sequential procedure for comparing a null hypothesis against a two‐sided alternative hypothesis when the parameter under test is that of the binomial distribution. In that paper, approximations to the operating characteristic and average sample number function were derived. In this note, bounds to the average sample number function are derived. Using numerical results a comparison of the approximations, bounds and empirical values is made.