Confidence interval estimation of a common correlation coefficient

This paper presents a generalized variable approach for confidence interval estimation of a common correlation coefficient from several independent samples drawn from bivariate normal populations. This approach can provide one-sided bounds and two-sided confidence intervals with satisfying coverage probabilities regardless of the number of samples, sample sizes and magnitude of the common correlation coefficient while the large sample approach can be very liberal for one-sided bounds. The large sample approach generally performs well for two-sided confidence interval estimation.

[1]  Lili Tian,et al.  Inferences on the Common Mean of Several Log‐Normal Populations: The Generalized Variable Approach , 2007, Biometrical journal. Biometrische Zeitschrift.

[2]  Thomas Mathew,et al.  Tests for individual and population bioequivalence based on generalized p‐values , 2003, Statistics in medicine.

[3]  Samaradasa Weerahandi,et al.  Generalized Confidence Intervals , 1993 .

[4]  Asymptotic expansions for the moments of the distribution of correlation coefficient. , 1966 .

[5]  K Krishnamoorthy,et al.  Inferences on the Common Mean of Several Normal Populations Based on the Generalized Variable Method , 2003, Biometrics.

[6]  K. Krishnamoorthy,et al.  Inferences on correlation coefficients : One-sample, independent and correlated cases , 2007 .

[7]  A. Gayen,et al.  The frequency distribution of the product-moment correlation coefficient in random samples of any size drawn from non-normal universes. , 1951, Biometrika.

[8]  Sam Weerahandi,et al.  Exact Statistical Methods for Data Analysis , 1998, Journal of the American Statistical Association.

[9]  V W Berger,et al.  Exact Inference for Growth Curves with Intraclass Correlation Structure * , 1999, Biometrics.

[10]  Oldham Pd,et al.  A study of arterial blood pressure and its inheritance in a sample of the general population. , 1955 .

[11]  S. Paul Estimation of and testing significance for a common correlation coefficient , 1988 .

[12]  B. Rosner,et al.  On Inferences Concerning a Common Correlation Coefficient , 1980 .

[13]  Lili Tian,et al.  A new approach for interval estimation and hypothesis testing of a certain intraclass correlation coefficient: the generalized variable method , 2004, Statistics in medicine.