Description Usage Arguments Value References See Also Examples
‘gtcorr.matrix.user’ calculates the efficiencies of matrix based group testing procedures, allowing for correlation between units and test error. Cluster arrangements can are specified by the user and probability of testing postive and correlation can vary by cluster.
1  gtcorr.matrix.user(clusters, p, sigma=0, se=1, sp=1, model = c("betabinomial", "Madsen", "MorelNeerchal"))

clusters 
a matrix of integers from 1 up to the total number of clusters.

p 
probability of a unit testing positive. If the length is one, then
all clusters have the same probability of testing positive. If the
length is the total number of clusters, then 
sigma 
pairwise correlation of two units in a cluster. If the length is one, then
all clusters have the same pairwise correlation. If the length is
the total number of clusters, then 
se 
sensitivity. The probability that a pool of units tests positive given than at least one unit in that pool is positive 
sp 
specificity. The probability that a pool of units tests negative given that at least one unit in that pool is negative 
model 
probability model for clusters. Should be ‘betabinomial’, ‘Madsen’, or ‘MorelNeerchal’. 
A length one vector containing the efficiency is returned
Samuel D. Lendle, Michael Hudgens, and Bahjat F. Qaqish, "Group Testing for Case Identification with Correlated Responses" Submitted 2011. Biometrics.
1 2 3 4 5 6 7 8 9 10 11  ##Calculate the efficiency of a 4 by 4 matrix procedure where the first
##two rows are in the first cluster, the bottom left 2 by 2 submatrix
##makes up the second cluster, and the bottom right 2 by 2 submatrix
##makes up the third cluster.
clusters < matrix(NA, 4, 4)
clusters[1:2, ] < 1
clusters[3:4, 1:2] < 2
clusters[3:4, 3:4] < 3
p < .01
sigma < .4
gtcorr.matrix.user(clusters, p, sigma)

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