| Title: | 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. |
| Authors: | Qingyang Zhang, Yanchuan Li |
| Maintainer: | Qingyang Zhang <[email protected]> |
| License: | GPL-2 |
| Version: | 1.0 |
| Built: | 2024-11-11 07:11:15 UTC |
| Source: | CRAN |
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.
Qingyang Zhang, Yanchuan Li
Maintainer: Qingyang Zhang <[email protected]>
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>
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)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)
This function estimates population proportion by group testing using Burrow's method. It is for equal group size only.
p.burrow(obs)p.burrow(obs)
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. |
Burrow's estimate for population proportion by group testing.
Qingyang Zhang, Yanchuan Li
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>
library(PEGroupTesting) mydata=matrix(c(50,10,45),nrow=1,byrow=TRUE) p.burrow(mydata)library(PEGroupTesting) mydata=matrix(c(50,10,45),nrow=1,byrow=TRUE) p.burrow(mydata)
The function estimates the population proportion by group testing using Gart's method. It is for both equal and unequal group size.
p.gart(obs)p.gart(obs)
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. |
Gart's estimate for population proportion by group testing
Qingyang Zhang, Yanchuan Li
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>
library(PEGroupTesting) mydata=matrix(c(50,10,40,40,8,37),nrow=2,byrow=TRUE) p.gart(mydata)library(PEGroupTesting) mydata=matrix(c(50,10,40,40,8,37),nrow=2,byrow=TRUE) p.gart(mydata)
This function estimates the population proportion by group testing using maximum likelihood method. It is for both equal and unequal group size.
p.mle(obs)p.mle(obs)
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. |
The maximum likelihood estimate for population proportion by group testing
Qingyang Zhang, Yanchuan Li
Ayung, J. (2003) Tutorial on maximum likelihood estimation. Journal of Mathematical Psychology. 47(1). <http://www.sciencedirect.com/science/article/pii/S0022249602000287>
library(PEGroupTesting) mydata=matrix(c(50,10,40,40,8,37),nrow=2,byrow=TRUE) p.mle(mydata)library(PEGroupTesting) mydata=matrix(c(50,10,40,40,8,37),nrow=2,byrow=TRUE) p.mle(mydata)
This function estimates the population proportion using order statistics method (Ding and Xiong 2016). It is for equal group size only.
p.order(obs)p.order(obs)
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. |
Order statistics estimate for population proportion in group testing
Qingyang Zhang, Yanchuan Li
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>
library(PEGroupTesting) mydata=matrix(c(50,10,45),nrow=1,byrow=TRUE) p.order(mydata)library(PEGroupTesting) mydata=matrix(c(50,10,45),nrow=1,byrow=TRUE) p.order(mydata)