Abstract: Intheliterature, therearemanyreferencestotheasymptoticnon-inferiority test that uses Z-statistic with pooled variance, but in none of these papers are
the test sizes computed. However, it is important for asymptotic tests to
determine behavior of test sizes, especially to determine whether the test is
liberal or conservative, and if the test is conservative, to measure how
conservative it is. In this study, non-inferiority test sizes are calculated for
the difference between two independent proportions based on Z-statistic
with pooled variance, for several continuity corrections, and the behavior of
these test sizes is analyzed.Sample sizesare examined with nominal
significance levels and non-inferiority margins .1, .15
for the test without continuity correction as well as that with five continuity
corrections. For sample size configurations, nominal significance levels and
non-inferiority margins, the test sizes of the asymptotic pooled Z-statistic
with the continuity corrections considered are erratic.
Keywords and phrases: non-inferiority test, binomial proportion, test size, asymptotic test.
