pi_rho_est function

Estimation of the binomial proportion and the intra class correlation.

pi_rho_est() estimates the overall binomial proportion $\hat{\pi}$ and the intra class correlation $\hat{\rho}$ of data that is assumed to follow the beta-binomial distribution. The estimation of $\hat{\pi}$ and $\hat{\rho}$ is done following the approach of Lui et al. 2000.

pi_rho_est(dat)

Arguments

• dat: a data.frame with two columns (successes and failures)

Returns

a vector containing estimates for $\pi$ and $\rho$

Examples

# Estimates for bb_dat1
pi_rho_est(bb_dat1)

References

Lui, K.-J., Mayer, J.A. and Eckhardt, L: Confidence intervals for the risk ratio under cluster sampling based on the beta-binomial model. Statistics in Medicine.2000;19:2933-2942. tools:::Rd_expr_doi("10.1002/1097-0258(20001115)19:21<2933::AID-SIM591>3.0.CO;2-Q")