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A Simple Joint Confidence Region for A Ranking of K Populations: Application to American Community Survey's Travel Time to Work Data
A Simple Joint Confidence Region for A Ranking of K Populations: Application to American Community Survey's Travel Time to Work Data
RRS2018-04
Abstract
National statistical agencies lack statistical methodology to express uncertainty in their released (explicit or implicit) estimated rankings, and we present a simple and novel measure for them to consider using theory, real data, and a visualization. Ranking a collection of populations from smallest to largest is typically based on the ranking of the observed estimates of parameters of the populations which make use of sample survey data. For example, the U.S. Census Bureau produced an “explicit” ranking of the states based on observed sample estimates during 2011 of estimated mean travel time to work for each state. Lack of statistical theory prevents a direct expression of uncertainty for the estimated ranking. We construct a joint confidence region for the true unknown ranking and present a visualization of the region that makes it easy to see the estimated ranking and its associated uncertainty. The observed estimated ranking is one of many likely rankings revealed by the joint confidence region visualization.
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WORKING PAPER
Statistical Research Reports and Studies
Page Last Revised - October 28, 2021
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