This article is within the scope of WikiProject Elections and Referendums, an ongoing effort to improve the quality of, expand upon and create new articles relating to elections, electoral reform and other aspects of democratic decision-making. For more information, visit our project page.Elections and ReferendumsWikipedia:WikiProject Elections and ReferendumsTemplate:WikiProject Elections and ReferendumsElections and Referendums articles
I don't believe so. AFAIR, it has more to do with the fact that in modern industrial democracies the geographical distibution of blue-collar versus white-collar workers has a variance of about 13%. see Seats, Votes and the Spatial Organisation of Elections, Gudgin & Taylor (1979); and Geography of Elections, Johnston & Taylor (1976).
RodCrosby02:37, 20 March 2006 (UTC)reply
The law of large numbers reference doesn't appear to be meaningful and should probably be removed. The law of large numbers states that the average of a sequence of random samples will converge to their mean provide "enough" samples are taken. It does not involve a formula and is only a statement about long term behavior, hence there is nothing to really result in a cubic approximation. A reference to the central limit theorem would be slightly more appropriate because here at least the normal curve is involved. In
[2], it is stated that Kendall and Stuart considered voting constituencies (i.e. districts) with normally distributed support for a particular party. Apparently, if a certain standard deviation is used, then as support for one party changes, there will be a cubic relationship between a parties average level of support and the number of constituencies that are above/below the 50% threshold. Other ways in which the Cube Rule can be derived are also discussed.
EERac (
talk)
15:02, 6 November 2008 (UTC)reply
This article is within the scope of WikiProject Elections and Referendums, an ongoing effort to improve the quality of, expand upon and create new articles relating to elections, electoral reform and other aspects of democratic decision-making. For more information, visit our project page.Elections and ReferendumsWikipedia:WikiProject Elections and ReferendumsTemplate:WikiProject Elections and ReferendumsElections and Referendums articles
I don't believe so. AFAIR, it has more to do with the fact that in modern industrial democracies the geographical distibution of blue-collar versus white-collar workers has a variance of about 13%. see Seats, Votes and the Spatial Organisation of Elections, Gudgin & Taylor (1979); and Geography of Elections, Johnston & Taylor (1976).
RodCrosby02:37, 20 March 2006 (UTC)reply
The law of large numbers reference doesn't appear to be meaningful and should probably be removed. The law of large numbers states that the average of a sequence of random samples will converge to their mean provide "enough" samples are taken. It does not involve a formula and is only a statement about long term behavior, hence there is nothing to really result in a cubic approximation. A reference to the central limit theorem would be slightly more appropriate because here at least the normal curve is involved. In
[2], it is stated that Kendall and Stuart considered voting constituencies (i.e. districts) with normally distributed support for a particular party. Apparently, if a certain standard deviation is used, then as support for one party changes, there will be a cubic relationship between a parties average level of support and the number of constituencies that are above/below the 50% threshold. Other ways in which the Cube Rule can be derived are also discussed.
EERac (
talk)
15:02, 6 November 2008 (UTC)reply