JSM 2005 - Toronto

Abstract #304298

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 74
Type: Contributed
Date/Time: Sunday, August 7, 2005 : 8:00 PM to 9:50 PM
Sponsor: General Methodology
Abstract - #304298
Title: Using Asymptotic Results and Smoothing To Obtain a Confidence Interval for the Population Median
Author(s): Mojgan Khatoonabadi*+ and Mortaza Jamshidian
Companies: California State University, Fullerton and California State University, Fullerton
Address: 6573 E North View Dr, Anaheim, CA, 92807, United States
Keywords: confidence interval ; median ; coverage probability ; simulation ; smoothing ; pedagogy

Almost all introductory- and intermediate-level statistics textbooks include the topic of confidence interval for the population mean. Almost all these texts introduce the median as a robust measure of central tendency. Only a few of these books, however, cover inference on the population median, particularly confidence interval for the median. This may be due to the more complex nature of the problem. This paper introduces a method that is conceptually and practically simpler than the currently used methods in the textbooks and has the promise of being more accessible to elementary/intermediate level statistics students. The method is conceptually simpler because its development parallels that of obtaining a confidence interval for the mean. It is computationally simple because its major computational component is a smoothing method that is widely available in statistical software. For the latter reason, the proposed method is referred to as the \emph{Smoothing} method. A simple R program is given that produces confidence intervals using the smoothing method.

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Revised March 2005