期刊
BIOMETRIKA
卷 91, 期 4, 页码 987-994出版社
BIOMETRIKA TRUST
DOI: 10.1093/biomet/91.4.987
关键词
asymptotic t distribution; bivariate t distribution; dissociation; standardised difference
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.
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