Doyle, John R. 2010. Quantifying empirical QQ plots: stock markets, executive pay, and weather. [Working Paper]. Social Science Research Network. Available at: http://dx.doi.org/10.2139/ssrn.1596602 |
Abstract
This article introduces two new ideas in the use of QQ plots as visual aids to explore the comparative shapes of distributions. First, we investigate the situation where both x and y distributions are empirical. We derived a procedure for the QQ plot that is based on geometric mean regression, and is simple enough to be calculated in a spreadsheet. We also indicate how this procedure may be robustified, and how it maps onto the one-empirical/one-theoretical QQ plot normally encountered. The second innovation is to use bootstrap sampling to guard against over-interpreting what is seen in the QQ plot. This may also be implemented on a spreadsheet. We illustrate the method with three worked examples that compare the distributions of: (i) UK versus Chinese executive pay, (ii) daily returns for the Shanghai versus the Shenzhen stock markets, and (iii) annual temperatures in the USA, 1895-1951 versus 1952-2007.
Item Type: | Monograph (Working Paper) |
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Date Type: | Publication |
Status: | Published |
Schools: | Business (Including Economics) |
Subjects: | H Social Sciences > H Social Sciences (General) H Social Sciences > HB Economic Theory H Social Sciences > HD Industries. Land use. Labor H Social Sciences > HG Finance Q Science > QA Mathematics |
Publisher: | Social Science Research Network |
ISSN: | 15565068 |
Last Modified: | 05 Nov 2019 03:29 |
URI: | https://orca.cardiff.ac.uk/id/eprint/27495 |
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