Inference on the Ratio of Correlations of Two Independent Populations

The asymptotic distribution for the ratio of the sample correlationsin two independent populations is established. the presentedmethod can be used to derive the asymptotic confidence interval andhypothesis testing for the ratio of population correlations. the performanceof the new interval is comparable with similar method. thenthe simulation study is provided to compare our confidence intervalwith fisher z-transform and cauchy-transform methods. the proposedconfidence set has a good coverage probability with a larger power.