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Table 5 Effect of uncertainty in the prevalence, w: the population value is w = 0.045; the assumed range is either 0.03–0.06 ( > 0, first three columns), or zero ( = 0, last three columns). AF, AB, EB refer to the asymptotic frequentist, approximate Bayesian, and exact Bayesian 10% intervals.

From: Interval estimation of genetic susceptibility for retrospective case-control studies

  > 0 = 0
Interval AF AB EB AF AB EB
n = m = 10       
Av. Length 0.375 0.308 0.394 0.371 0.303 0.391
Coverage 0.941 0.889 0.868 0.913 0.889 0.868
n = m = 50       
Av. Length 0.154 0.144 0.155 0.143 0.134 0.145
Coverage 0.929 0.924 0.920 0.902 0.898 0.895
n = m = 100       
Av. Length 0.110 0.107 0.110 0.096 0.093 0.097
Coverage 0.945 0.946 0.939 0.900 0.896 0.900
n = m = 500       
Av. Length 0.067 0.067 0.066 0.041 0.041 0.041
Coverage 0.993 0.993 0.992 0.897 0.899 0.900