| Type: | Package |
| Title: | Population Proportion Estimation using Group Testing |
| Version: | 1.0 |
| Depends: | R (≥ 3.1.0) |
| Imports: | stats |
| Date: | 2016-09-12 |
| Author: | Qingyang Zhang, Yanchuan Li |
| Maintainer: | Qingyang Zhang <qz008@uark.edu> |
| Description: | The population proportion using group testing can be estimated by different methods. Four functions including p.mle(), p.gart(), p.burrow() and p.order() are provided to implement four estimating methods including the maximum likelihood estimate, Gart's estimate, Burrow's estimate, and order statistic estimate. |
| License: | GPL-2 |
| Encoding: | UTF-8 |
| NeedsCompilation: | no |
| Packaged: | 2016-09-15 14:19:19 UTC; qingyangzhang |
| Repository: | CRAN |
| Date/Publication: | 2016-09-15 17:49:30 |
Population Proportion Estimation using Group Testing
Description
The population proportion using group testing can be estimated by different methods. Four functions including p.mle(), p.gart(), p.burrow() and p.order() are provided to implement four estimating methods including the maximum likelihood estimate, Gart's estimate, Burrow's estimate, and order statistic estimate.
Author(s)
Qingyang Zhang, Yanchuan Li
Maintainer: Qingyang Zhang <qz008@uark.edu>
References
Ayung, J. (2003) Tutorial on maximum likelihood estimation. Journal of Mathematical Psychology. 47(1). <http://www.sciencedirect.com/science/article/pii/S0022249602000287>
Ding, J. and Xiong, W. (2016) A new estimator for a population proportion using group testing. Communication in Statistics-Simulation and Computation. 45(101-114) <http://dx.doi.org/10.1080/03610918.2013.854909>
Gart, J. (1991) An application of score methodology: confidence intervals and tests of fit for one-hit curves. Handbook of Statistics, 8(395-406), Amsterdam Elsevier. <https://www.elsevier.com/books/book-series/handbook-of-statistics>
Burrows, P. (1987) Improved estimation of pathogen transmission rates by group testing. Phytopathology. 77(363-365) <https://www.apsnet.org/publications/phytopathology/backissues/Documents/1987Articles>
Examples
library(PEGroupTesting)
mydata=matrix(c(50,10,45),nrow=1,ncol=3,byrow=TRUE)
p.mle(mydata)
p.burrow(mydata)
p.gart(mydata)
p.order(mydata)
Burrow's estimate for population proportion using group testing
Description
This function estimates population proportion by group testing using Burrow's method. It is for equal group size only.
Usage
p.burrow(obs)
Arguments
obs |
A 1 by 3 matrix containing the data information. Column 1 is the number of groups. Column 2 is group size. Column 3 is number of positives. |
Value
Burrow's estimate for population proportion by group testing.
Author(s)
Qingyang Zhang, Yanchuan Li
References
Burrows, P. (1987) Improved estimation of pathogen transmission rates by group testing. Phytopathology. 77(363-365) <https://www.apsnet.org/publications/phytopathology/backissues/Documents/1987Articles>
Examples
library(PEGroupTesting)
mydata=matrix(c(50,10,45),nrow=1,byrow=TRUE)
p.burrow(mydata)
Gart's estimate for population proportion by group testing
Description
The function estimates the population proportion by group testing using Gart's method. It is for both equal and unequal group size.
Usage
p.gart(obs)
Arguments
obs |
A three-column matrix containing all the data information. Column 1 is the number of groups. Column 2 is group size. Column 3 is number of positives. Different rows corresponds to different group sizes. |
Value
Gart's estimate for population proportion by group testing
Author(s)
Qingyang Zhang, Yanchuan Li
References
Gary, J. (1991) An application of score methodology: confidence intervals and tests of fit for one-hit curves. Handbook of Statistics, 8(395-406), Amsterdam Elsevier. <https://www.elsevier.com/books/book-series/handbook-of-statistics>
Examples
library(PEGroupTesting)
mydata=matrix(c(50,10,40,40,8,37),nrow=2,byrow=TRUE)
p.gart(mydata)
Maximum likelihood estimate for population proportion by group testing
Description
This function estimates the population proportion by group testing using maximum likelihood method. It is for both equal and unequal group size.
Usage
p.mle(obs)
Arguments
obs |
A three-column matrix containing all the data information. Column 1 is the number of groups. Column 2 is group size. Column 3 is number of positives. Different rows corresponds to different group sizes. |
Value
The maximum likelihood estimate for population proportion by group testing
Author(s)
Qingyang Zhang, Yanchuan Li
References
Ayung, J. (2003) Tutorial on maximum likelihood estimation. Journal of Mathematical Psychology. 47(1). <http://www.sciencedirect.com/science/article/pii/S0022249602000287>
Examples
library(PEGroupTesting)
mydata=matrix(c(50,10,40,40,8,37),nrow=2,byrow=TRUE)
p.mle(mydata)
Order statistics estimate for population proportion using group testing
Description
This function estimates the population proportion using order statistics method (Ding and Xiong 2016). It is for equal group size only.
Usage
p.order(obs)
Arguments
obs |
A 1 by 3 matrix containing the data information. Column 1 is the number of groups. Column 2 is group size. Column 3 is number of positives. |
Value
Order statistics estimate for population proportion in group testing
Author(s)
Qingyang Zhang, Yanchuan Li
References
Ding, J. and Xiong, W. (2016) A new estimator for a population proportion using group testing. Communication in Statistics-Simulation and Computation. 45(101-114) <http://dx.doi.org/10.1080/03610918.2013.854909>
Examples
library(PEGroupTesting)
mydata=matrix(c(50,10,45),nrow=1,byrow=TRUE)
p.order(mydata)