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. 2018 Oct;24(10):1930–1933. doi: 10.3201/eid2410.180716

Table 1. Formula and examples of method for estimating prevalence of latent TB infection, United States, 2011–2015* .

Variable
a
b
c
d
e
f
g
h
Jurisdiction Population Average annual no. active TB cases Proportion of TB cases attributed to recent transmission Annual no. 
cases attributed to reactivation TB Estimated no. infected residents if 0.10% annual risk for progression Estimated prevalence of infection if 0.10% annual risk for progression, % Sensitivity analysis for 
estimated prevalence of latent infection, %
Lower uncertainty limit based on 0.14% annual risk for progression Upper uncertainty limit based on 0.06% annual 
risk for progression
Example X Any size 0 NA 0 NA <1 NA NA
Example Y 150,000 1 0 1 1,000 0.7 0.5 1.1
Example Z 2,000,000 50 0.2 40 40,000 2.0 1.4 3.3

*Let a = jurisdiction population, b = average annual no. TB cases in that jurisdiction, and c = proportion of TB cases attributed to recent transmission (i.e., [1 – c] = proportion attributed to latent TB infection). Then if b = 0, d = 0, and f <1%, otherwise d = b × (1 – c) and e = d/0.0010 if one assumes a 0.10% annual risk and f = e/a (×100 to express as a percentage) or (d/0.0014/a for lower uncertainty limit and h = d/0.0006/a for upper uncertainty limit. NA, not applicable; TB, tuberculosis.