Work with interactive mapping tools from across the Census Bureau.
Collection of audio features and sound bites.
The Census Bureau packages data and information into easy-to-understand visuals.
Browse Census Bureau images.
Read briefs and reports from Census Bureau experts.
Watch Census Bureau vignettes, testimonials, and video files.
Read research analyses from Census Bureau experts.
Developer portal to access services and documentation for the Census Bureau's APIs.
Explore Census Bureau data on your mobile device with interactive tools.
Find a multitude of DVDs, CDs and publications in print by topic.
These external sites provide more data.
Download extraction tools to help you get the in-depth data you need.
Explore Census data with interactive visualizations covering a broad range of topics.
How we provide the best mix of timeliness, relevancy, quality, and cost for the data we collect.
Learn about other opportunities to collaborate with us.
Explore the rich historical background of an organization with roots almost as old as the nation.
Explore prospective positions available at the Census Bureau.
Explore Census programs targeted for particular needs.
Discover the latest in Census Bureau data releases, reports, and events.
The Census Bureau's Director writes on how we measure America's people, places and economy.
Find interesting and quirky statistics regarding national celebrations and major events.
Listen to audio files on fun facts, historical figures, and celebrations of the month.
Find media toolkits, advisories, and all the latest Census news.
See what's coming up in releases and reports.
This note is a simplication and expansion of the proof of the equivalence of Webster's method and Willcox's method of major fractions found in Fair Rep- resentation: Meeting the Ideal of One Man, One Vote, by Michel Balinski and H. Peyton Young, p. 103-104. The proof in Fair Representation demonstrates that Webster's method minimizes a function, which Willcox's method of major fractions also happens to minimize; it doesn't directly refer to Willcox's method. In this paper I have modied the proof to explicitly show that the two methods are equivalent and to include details, such as unstated lines of reasoning and algebraic steps, omitted from the Fair Representation proof.
Pat Hunley. (2014). Proof of Equivalence of Webster's Method and Willcox's Method of Major Fractions. Center for Statistical Research & Methodology Research Report Series (Statistics #2014-04). U.S. Census Bureau. Available online at <http://www.census.gov/srd/papers/pdf/RRS2014-2014-04.pdf>.
This symbol indicates a link to a non-government web site. Our linking to these sites does not constitute an endorsement of any products, services or the information found on them. Once you link to another site you are subject to the policies of the new site.