On testing a set of correlation coefficients for equality: Some asymptotic results
相关系数相等性检验的若干渐近结果
This note considers tests of the hypothesis H that the off-diagonal elements of a correlation matrix are equal. A test statistic T3 proposed by Aitkin, Nelson & Reinfurt (1968) is shown to be asymptotically equivalent, under H, to a member of a certain class of quadratic forms in the sample correlations. The asymptotic null distribution of each member of this class is obtained, the distribution of T3 and of statistics proposed by other authors following as a special case.…