Large Sample Inference on the Ratio of Two Independent Binomial Proportions
Abstract
The asymptotic distribution for the ratio of sample pro-
portions in two independent bernoulli populations is introduced. The
presented method can be used to derive the asymptotic con¯dence in-
terval and hypothesis testing for the ratio of population proportions.
The performance of the new interval is comparable with similar con¯-
dence intervals in the large sample cases. Then the simulation study
is provided to compare our con¯dence interval with some other meth-
ods. The proposed con¯dence set has a good coverage probability with
a shorter length.
portions in two independent bernoulli populations is introduced. The
presented method can be used to derive the asymptotic con¯dence in-
terval and hypothesis testing for the ratio of population proportions.
The performance of the new interval is comparable with similar con¯-
dence intervals in the large sample cases. Then the simulation study
is provided to compare our con¯dence interval with some other meth-
ods. The proposed con¯dence set has a good coverage probability with
a shorter length.
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