Which test is described as a parametric test of correlation?

The test described as a parametric test of correlation is Pearson's correlation coefficient. This test assesses the linear relationship between two continuous variables and assumes that the data for both variables are normally distributed and measured at the interval or ratio level. It not only measures the strength of the association between the variables but also provides a direction (positive or negative) based on the correlation value, which can range from -1 to +1.

In contrast, Spearman's rank correlation and Kendall's Tau are non-parametric tests that do not assume a normal distribution and are used for ordinal data or when the assumptions of Pearson's test are violated. The Chi-square test, on the other hand, is used to examine relationships between categorical variables and does not measure correlation in a parametric sense.