Calculate expected number of true transmission pairs assuming multiple-transmission and multiple-linkage

This function calculates the expected number of true transmission pairs in a sample of size M. The multiple-transmission and multiple-linkage method assumes the following:

1. Each case \(i\) is, on average, the infector of R cases in the population (\(N\))

2. Each case \(i\) is allowed to be linked by the linkage criteria to multiple cases \(j\) in the sampled population (\(M\)).

3. Linkage events are independent of one another (i.e, linkage of case \(i\) to case \(j\) has no bearing on linkage of case \(i\) to any other sample).

translink_expected_links_true_mtml(sensitivity, rho, M, R)

Arguments

sensitivity

scalar or vector giving the sensitivity of the linkage criteria

rho

scalar or vector giving the proportion of the final outbreak size that is sampled

M

scalar or vector giving the number of cases sampled

R

scalar or vector giving the effective reproductive number of the pathogen

Value

scalar or vector giving the expected number of true transmission pairs in the sample

See also

Other transmission linkage functions: translink_expected_links_obs_mtml(), translink_expected_links_obs_mtsl(), translink_expected_links_obs_stsl(), translink_expected_links_obs(), translink_expected_links_true_mtsl(), translink_expected_links_true_stsl(), translink_expected_links_true(), translink_fdr(), translink_prob_transmit_mtml(), translink_prob_transmit_mtsl(), translink_prob_transmit_stsl(), translink_prob_transmit(), translink_samplesize(), translink_tdr()

Author

John Giles, Shirlee Wohl and Justin Lessler

Examples

translink_expected_links_true_mtml(sensitivity=0.95, rho=0.2, M=1000, R=1)
#> [1] 190