Estimates of smoking prevalence for four possible samples from a population with 50% males, ω= 0.5, when the true smoking prevalence is π= 0.2 and male and female smoking prevalence are πM = 0.25 and πF = 0.15, respectively (πD = 0.10)
Possible samples
1
2
3
4
Prop. Male
0.6
0.6
0.4
0.4
Gender-specific prevalence estimator
Male
0.2
0.3
0.15
0.3
Female
0.25
0.1
0.2
0.1
Difference
-0.05
0.2
-0.05
0.2
Prevalence estimator
Crude
0.2200
0.2200
0.1800
0.1800
Adjusted (using πD)
0.2100
0.2100
0.1900
0.1900
Direct adjusted (using )
0.2250
0.2000
0.1750
0.2000
Covariance adjusted
0.2248
0.2008
0.1752
0.1994
Li et al.Epidemiologic Perspectives & Innovations 2008 5:2 doi:10.1186/1742-5573-5-2