Sample size to estimate a prevalence

Input values:

Estimated sample size (ignoring clustering):

Estimated sample size (accounting for clustering):

Contribution of within- and between-cluster variance to the intra-class correlation coefficient:

How to cite this page:
A version of this tool is included in the R package epiR . So please cite this page as follows:

Stevenson M, Sergeant E, Nunes T, Heuer C, Marshall J, Sanchez J, Thornton R, Reiczigel J, Robison-Cox J, Sebastiani P, Solymos P, Yoshida K, Jones G, Pirikahu S, Firestone S, Kyle R, Popp J, Jay M, Reynard C, Cheung A, Singanallur N, Szabo A and Rabiee A (2022) epiR: An R package for the analysis of epidemiological data. R package version 2.0.53.

References:
Bennett, S., Woods, T., Liyanage, W.M., Smith, D.L. (1991). A simplified general method for cluster-sample surveys of health in developing countries. World Health Stat. Q. 44, 98-106.

Otte, M. & Gumm, I. (1997). Intra-cluster correlation coefficients of 20 infections calculated from the results of cluster-sample surveys. Prev. Vet. Med. 31, 147-150.