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Table 2 Errors in density measurement have little impact on vaccine efficacy calculated by attributable fraction.

From: Malaria vaccine efficacy: the difficulty of detecting and diagnosing malaria

Mode of action of vaccine

True VE

Lower limit

Upper limit

30% reduction in density 25% reduction in febrile episodes

39.8

39.3

40.3

50% reduction in density 50% reduction in febrile episodes

89.5

89.5

89.5

70% reduction in density 25% reduction in febrile episodes

89.4

88.9

89.8

  1. V E = 1 − [ A F V × N V A F U V × N U V ] MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacH8akY=wiFfYdH8Gipec8Eeeu0xXdbba9frFj0=OqFfea0dXdd9vqai=hGuQ8kuc9pgc9s8qqaq=dirpe0xb9q8qiLsFr0=vr0=vr0dc8meaabaqaciaacaGaaeqabaqabeGadaaakeaacqWGwbGvcqWGfbqrcqGH9aqpcqaIXaqmcqGHsisldaWadaqaamaalaaabaGaemyqaeKaemOray0aaSbaaSqaaiabdAfawbqabaGccqGHxdaTcqWGobGtdaWgaaWcbaGaemOvayfabeaaaOqaaiabdgeabjabdAeagnaaBaaaleaacqWGvbqvcqWGwbGvaeqaaOGaey41aqRaemOta40aaSbaaSqaaiabdwfavjabdAfawbqabaaaaaGccaGLBbGaayzxaaaaaa@46A3@ , where AF is the attributable fraction, N is the total number of febrile episodes and V and UV designate vaccinated and unvaccinated groups, respectively. The vaccine efficacy in the absence of measurement error and the upper and lower bounds that may be observed due to measurement error are reported for different levels of reduction in parasite density and number of febrile episodes. The data from Smith et al [21] are used to fit the logistic regression model of the probability of fever as a function of parasite density. Density data is simulated by randomly choosing cases from specific density categories using a very large data set of febrile patients in order to match the proportions of the above data set.