Testing local versions of correlation coefficients

Data Driven Approaches to Testing Homogeneity of Intraclass Correlation Coefficients

The test of homogeneity for intraclass correlation coefficients has been one of the active topics in statistical research. Several chi-square tests have been proposed to test the homogeneity of intraclass correlations in the past few decades. The big concern for them is that these methods are seriously biased when sample sizes are not large. In this thesis, data driven approaches are proposed t...

Interpretation of correlation coefficients.

A recently published article by Ko et al1 illustrates a commonly encountered problem with the interpretation of correlation coefficients in medical research. The authors stated the correlation coefficient ranged from -0.002 to 0.15. If the P value was greater than 0.05, they interpreted the findings as indicating no correlation. Otherwise, there was weak correlation. The t value of the correlat...

New versions of Suen's correlation inequality

1. Introduction Suen 8] found a remarkable correlation inequality, giving estimates for the probability that a collection of dependent random indicator variables vanish simultaneously, or in other words, for the probability that none of a collection of dependent events occurs. The present author 4, 3] has found similar inequalities for a much more restricted situation; when applicable, these in...

The Correlation Coefficients

An Improved Correlation for Second Virial Coefficients of Pure Fluids

In the present work, a modified correlation is presented for the second virial coefficients of both polar and nonpolar fluids based on the corresponding states principle. The second virial coefficients of gaseous polar and non-polar compounds were calculated and compared with experimental data and with other correlations. Comparisons with the existing correlations show that the present work is ...