Garthwaite, Paul H. and Crawford, John R.
|DOI (Digital Object Identifier) Link:||http://doi.org/10.1093/biomet/91.4.987|
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In this paper, the difference between two correlated t variables is divided by a function of their sample correlation and the distribution of the resulting quantity is examined. Functions of the sample correlation are found for which this quantity is approximately pivotal and has a t distribution, asymptotically. Simulations show that the asymptotic results hold well for small sample sizes. The results yield a useful test for comparing the difference in standardised scores of an individual with those of a group of controls. The test assumes that sampling is from a bivariate normal distribution and robustness of the test to departure from normality is examined.
|Item Type:||Journal Article|
|Copyright Holders:||2004 Biometrika Trust|
|Keywords:||asymptotic t distribution; bivariate t distribution; dissociation; standardised difference|
|Academic Unit/Department:||Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
|Depositing User:||Users 2598 not found.|
|Date Deposited:||27 Jun 2006|
|Last Modified:||04 Oct 2016 09:49|
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