| Type: | Package | 
| Title: | Nonparametric Confidence Intervals for Quantiles | 
| Version: | 0.9.0 | 
| Maintainer: | Li Yan <li.yan@roswellpark.org> | 
| Description: | Based on Alan D. Hutson (1999) <doi:10.1080/02664769922458>, "Calculating nonparametric confidence intervals for quantiles using fractional order statistics", Journal of Applied Statistics, 26:3, 343-353. | 
| License: | GPL-3 | 
| Encoding: | UTF-8 | 
| LazyData: | true | 
| Suggests: | dplyr, kableExtra, knitr, rmarkdown, testthat (≥ 2.1.0) | 
| Depends: | R (≥ 2.10) | 
| RoxygenNote: | 6.1.1 | 
| VignetteBuilder: | knitr | 
| NeedsCompilation: | no | 
| Packaged: | 2019-09-05 15:04:30 UTC; liyan | 
| Author: | Nicholas Hutson [aut], Alan Hutson [aut], Li Yan [aut, cre] | 
| Repository: | CRAN | 
| Date/Publication: | 2019-09-05 15:20:02 UTC | 
Calculate lower and upper CI of a given quantile using exact method, based on beta distribution
Description
Calculate lower and upper CI of a given quantile using exact method, based on beta distribution
Usage
exactBeta(n, q, alpha)
Arguments
| n | sample size | 
| q | quantile | 
| alpha | desired significance level | 
Value
a list of the lower and upper confidence limit of the quantiles.Values are between [0,1]
| u1 | lower confidence limit of the quantile | 
| u2 | upper confidence limit of the quantile | 
Examples
QuantileNPCI:::exactBeta(25, 0.5, 0.05)
The flood rate of Feature River and Blackstone River.
Description
A dataset containing the flood rate data, as presented in Hutson 1999 paper. Original source: Pericchi and Rodreiguez-Iturbe (1995)
Usage
flood
Format
A data frame with 96 rows and 3 variables:
- loc
- River name 
- year
- year of the record 
- discharge
- flood discharge rate 
quantCI
Description
Calculate nonparametric confidence intervals for quantiles using fractional order statistics,
Usage
quantCI(x, q, alpha, method)
Arguments
| x | vector of data | 
| q | the quantile | 
| alpha | the significance level | 
| method | the method used for calculate the confidence interval. Options are "exact" or "approximate". | 
Value
returns a list of 5 values:
| u1 | the lower confidence limit of the quantile | 
| u2 | the upper confidence limit of the quantile | 
| lower.ci | the estimated x value at u1 | 
| qx | the estimate x value of at the quantile q | 
| upper.ci | the estimated x value at u2 | 
Author(s)
Nicholas Hutson
Examples
x <- c(3.5,2.4,2.1,1.3,1.2,2.2,2.6,4.2)
quantCI(x, q=0.5, alpha=0.05, method = "exact")