Loading...
Please wait, while we are loading the content...
Similar Documents
Smooth bootstrap-based confidence intervals for one binomial proportion and difference of two proportions
| Content Provider | Scilit |
|---|---|
| Author | Wang, Dongliang Hutson, Alan D. |
| Copyright Year | 2013 |
| Description | Constructing confidence intervals (CIs) for a binomial proportion and the difference between two binomial proportions is a fundamental and well-studied problem with respect to the analysis of binary data. In this note, we propose a new bootstrap procedure to estimate the CIs by resampling from a newly developed smooth quantile function in [ 11 Newcombe, R. G. 1998. Two-sided confidence intervals for the single proportion: Comparison of seven methods. Stat. Med., 17: 857–872. (doi:10.1002/(SICI)1097-0258(19980430)17:83.0.CO;2-E) [Crossref], [PubMed], [Web of Science ®] , [Google Scholar] ] for discrete data. We perform a variety of simulation studies in order to illustrate the strong performance of our approach. The coverage probabilities of our CIs in the one-sample setting are superior than or comparable to other well-known approaches. The true utility of our new and novel approach is in the two-sample setting. For the difference of two proportions, our smooth bootstrap CIs provide better coverage probabilities almost uniformly over the interval (−1, 1), particularly in the tail region as compared than other published methods included in our simulation. We illustrate our methodology via an application to several different binary data sets. |
| Related Links | http://europepmc.org/articles/pmc4789773?pdf=render https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4789773/pdf |
| Ending Page | 625 |
| Page Count | 12 |
| Starting Page | 614 |
| ISSN | 02664763 |
| e-ISSN | 13600532 |
| DOI | 10.1080/02664763.2012.750283 |
| Journal | Journal of Applied Statistics |
| Issue Number | 3 |
| Volume Number | 40 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2013-03-01 |
| Access Restriction | Open |
| Subject Keyword | Journal: Journal of Applied Statistics Statistics and Probability Bootstrap Quantile Function Confidence Interval Proportion Binary Data |
| Content Type | Text |
| Resource Type | Article |
| Subject | Statistics and Probability Statistics, Probability and Uncertainty |
