ExactCIdiff: An R Package for Computing Exact Confidence Intervals for the Difference of Two Proportions
The R Journal
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Comparing two proportions through the difference is a basic problem in statistics and has applications in many ﬁelds. More than twenty conﬁdence intervals (Newcombe, 1998a,b) have been proposed. Most of them are approximate intervals with an asymptotic inﬁmum coverage probability much less than the nominal level. In addition, large sample may be costly in practice. So exact optimal conﬁdence intervals become critical for drawing valid statistical inference with accuracy and precision. Recently, Wang (2010, 2012) derived the exact smallest (optimal) one-sided 1 – α confidence intervals for the difference of two paired or independent proportions. His intervals, however, are computer-intensive by nature. In this article, we provide an R package ExactCIdiff to implement the intervals when the sample size is not large. This would be the ﬁrst available package in R to calculate the exact conﬁdence intervals for the difference of proportions. Exact two-sided 1 – α interval can be easily obtained by taking the intersection of the lower and upper one-sided 1 – α/2 intervals. Readers may jump to Examples 1 and 2 to obtain these intervals.
Binary system (Mathematics); Mathematical statistics; Probabilities; Statistics
Clinical Trials | Medicine and Health Sciences | Statistical Methodology | Statistics and Probability | Vital and Health Statistics
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ExactCIdiff: An R Package for Computing Exact Confidence Intervals for the Difference of Two Proportions.
The R Journal, 5(2),