RTI uses cookies to offer you the best experience online. By clicking “accept” on this website, you opt in and you agree to the use of cookies. If you would like to know more about how RTI uses cookies and how to manage them please view our Privacy Policy here. You can “opt out” or change your mind by visiting: http://optout.aboutads.info/. Click “accept” to agree.
The construction of coverage intervals for a proportion is difficult, especially when the proportion is very small or very large. Most of the methods treated in the literature implicitly assume simple random sampling. These interval-construction methods are not immediately applicable to data derived from a complex sample design. Some recent papers have addressed this problem, proposing modifications for complex samples. Matters are further complicated when a one-sided coverage interval is desired. This article provides an extensive review of existing methods for constructing coverage intervals for a proportion under both simple random and complex sample designs. It also evaluates the empirical performances of different one-sided coverage intervals under both a simple random and a stratified random sample design.