characteristics.pool {binGroup}

Testing expenditure for informative Dorfman testing

Description

Calculate the expectation and variation of the testing expenditure of a pool used with informative Dorfman testing.

Usage

characteristics.pool(p, se, sp)

Arguments

p

a vector of each individual's probability of infection.

se

the sensitivity of the diagnostic test.

sp

the specificity of the diagnostic test.

Details

This function calculates the expected value and variance of the testing expenditure of a pool of size greater than or equal to one used with informative Dorfman testing. Calculations of these measures are done using the equations presented in McMahan et al. (2012).

Value

a list containing:

e

the expected testing expenditure of the pool.

v

the variation of the testing expenditure of the pool.

Author(s)

This function was originally written by Christopher S. McMahan for McMahan et al. (2012). The function was obtained from http://chrisbilder.com/grouptesting.

References

McMahan, C., Tebbs, J., Bilder, C. (2012). “Informative Dorfman Screening.” Biometrics, 68(1), 287–296. ISSN 0006341X, doi: 10.1111/j.1541-0420.2011.01644.x.

See Also

http://chrisbilder.com/grouptesting

Other Informative Dorfman functions: accuracy.dorf, inf.dorf.measures, opt.info.dorf, opt.pool.size, pool.specific.dorf, thresh.val.dorf

Examples

# This example takes less than 1 second to run.
# Estimated running time was calculated using a 
#   computer with 16 GB of RAM and one core of an 
#   Intel i7-6500U processor.
set.seed(8135)
p.vec <- p.vec.func(p=0.02, alpha=1, grp.sz=10)
characteristics.pool(p=p.vec[1:3], se=0.90, sp=0.90)