Which statement lists correlation coefficients that are mentioned as examples in statistics?

Which statement lists correlation coefficients that are mentioned as examples in statistics?

• A. Pearson's r
• B. Spearman's rho
• C. Kendall's tau
• D. All of the above

Answer: (D)

Correlation coefficients come in several standard forms, each suited to different kinds of data and relationships. In statistics, three commonly cited examples are Pearson's r, Spearman's rho, and Kendall's tau. Pearson's r measures linear association between two continuous variables and assumes interval/ratio data with roughly bivariate normal scatter. Spearman's rho is based on the ranks of the data and captures monotonic relationships; it's nonparametric and robust to outliers and non-normality. Kendall's tau also uses ranks and expresses the strength of association via concordant versus discordant pairs; it is another nonparametric option with slightly different properties and often smaller sampling variability in small samples. Because the question asks for coefficients mentioned as examples, the option that lists all three is the best choice, since all three are standard, widely cited correlation measures.

Correlation coefficients come in several standard forms, each suited to different kinds of data and relationships. In statistics, three commonly cited examples are Pearson's r, Spearman's rho, and Kendall's tau. Pearson's r measures linear association between two continuous variables and assumes interval/ratio data with roughly bivariate normal scatter. Spearman's rho is based on the ranks of the data and captures monotonic relationships; it's nonparametric and robust to outliers and non-normality. Kendall's tau also uses ranks and expresses the strength of association via concordant versus discordant pairs; it is another nonparametric option with slightly different properties and often smaller sampling variability in small samples. Because the question asks for coefficients mentioned as examples, the option that lists all three is the best choice, since all three are standard, widely cited correlation measures.