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Apportionment methods


  • Ulrich Kohler

    () (Wissenschaftszentrum Berlin)

  • Janina Zeh

    () (Universitat Leipzig)


Apportionment methods are used to translate a set of positive natural numbers into a set of smaller natural numbers while keeping the proportions between the numbers very similar. The methods are used to allocate seats in a chamber proportionally to the number of votes for a party in an election or proportionally to regional populations. In this article, we describe six apportionment methods and the user-written egen function apport(), which implements these methods. Copyright 2012 by StataCorp LP.

Suggested Citation

  • Ulrich Kohler & Janina Zeh, 2012. "Apportionment methods," Stata Journal, StataCorp LP, vol. 12(3), pages 375-392, September.
  • Handle: RePEc:tsj:stataj:v:12:y:2012:i:3:p:375-392
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    References listed on IDEAS

    1. Udo Schwingenschlögl & Friedrich Pukelsheim, 2006. "Seat Biases in Proportional Representation Systems with Thresholds," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(1), pages 189-193, August.
    2. Friedrich Pukelsheim & Albert W. Marshall & Ingram Olkin, 2002. "A majorization comparison of apportionment methods in proportional representation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 19(4), pages 885-900.
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