Estimated overall prevalence from a sample selection model
Estimated overall prevalence from a sample selection model
prev can be used to calculate the overall estimated prevalence from a sample selection model with binay outcome, with corresponding interval obtained using posterior simulation.
joint: If FALSE then the prevalence is obtained from the univariate model which neglects the presence of unobserved confounders. When TRUE, the prevalence is obtained from the simultaneous model which accounts for observed and unobserved confounders.
n.sim: Number of simulated coefficient vectors from the posterior distribution of the estimated model parameters. It may be increased if more precision is required.
prob.lev: Overall probability of the left and right tails of the prevalence distribution used for interval calculations.
Details
prev estimates the overall prevalence of a disease (e.g., HIV) when there are missing values that are not at random. An interval for the estimated prevalence can be obtained using posterior simulation.
Returns
res: It returns three values: lower confidence interval limit, estimated prevalence and upper confidence interval limit.
prob.lev: Probability level used.
sim.prev: Vector containing simulated values of the prevalence. This is used to calculate an interval.
Author(s)
Authors: Giampiero Marra, Rosalba Radice, Guy Harling, Mark E McGovern
Marra G., Radice R., Barnighausen T., Wood S.N. and McGovern M.E. (2017), A Simultaneous Equation Approach to Estimating HIV Prevalence with Non-Ignorable Missing Responses. Journal of the American Statistical Association, 112(518), 484-496.