What about these data would make the nonparametric measures appropriate choices?

Crowdedness. In a Chance magazine article (Summer 2005), Danielle Vasilescu and Howard Wainer used data from the United Nations Center for Human Settlements to investigate aspects of living conditions for several countries. Among the variables they looked at were the country’s per capita gross domestic product (GDP, in $) and Crowdedness, defined as the average number of persons per room living in homes there. This scatterplot displays these data for 56 countries:

a) The value of Kendall’s tau is -0.626. What does this tell us about the association?

b) The value of Spearman’s rho is -0.804. What does this tell us about the association?

c) What about these data would make the nonparametric measures appropriate choices?

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For which one of the following situations would Kendall’s tau be appropriate?

For which one of the following situations would Kendall’s tau be appropriate? a) The Mohs scale rates the hardness of minerals. If one mineral can scratch another, it is judged….

For which one of the following situations would Spearman’s rho be appropriate?

For which one of the following situations would Spearman’s rho be appropriate? a) Comparing the ratings of a new product on a 5-point Likert scale by a panel of consumers….

Are the breeds equally “intelligent?”

For which one of the following situations would Spearman’s rho be appropriate? a) The Mohs scale rates the hardness of minerals. If one mineral can scratch another, it is judged….