IDEAS home Printed from
MyIDEAS: Log in (now much improved!) to save this article

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.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL:
File Function: link to article purchase
Download Restriction: no

Article provided by StataCorp LP in its journal Stata Journal.

Volume (Year): 12 (2012)
Issue (Month): 3 (September)
Pages: 375-392

in new window

Handle: RePEc:tsj:stataj:v:12:y:2012:i:3:p:375-392
Note: to access software from within Stata, net describe
Contact details of provider: Web page:

Order Information: Web:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

as in new window
  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.
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:tsj:stataj:v:12:y:2012:i:3:p:375-392. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F. Baum)

or (Lisa Gilmore)

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.