A note on Wilson coverage intervals for proportions estimated from complex samples

This note discusses the theoretical foundations for the extension of the Wilson two-sided coverage interval to an estimated proportion computed from complex survey data. The interval is shown to be asymptotically equivalent to an interval derived from a logistic transformation. A mildly better version is discussed, but users may prefer constructing a one-sided interval already in the literature.

Kott, P. S. (2017). A note on Wilson coverage intervals for proportions estimated from complex samples. Survey Methodology, 43(2), 235-240.