Question

school experience (0=less than high school; 1=completed high school; 2=some college) and drug use (0=never; 1=once; 2=twice; 3=three). Which statistic is most appropriate for making an inference about the existence of a relationship between these two variables in the population?

a. chi-square

b. phi- coefficient

c. cramer's v

d. yules q

e. goodman and kruskals gamma

2. for the same data : Which statistic is most appropriate for describing the strength of the relationship between these two variables?

Answer 1

For making an inference about the existence of a relationship between given variables in the population,we can use chi-square.

Reason: -

• The Chi-square statistic is usually used for testing the relationship between two categorical variables.
• The null hypothesis will be there is no relationship exists in between the given categorical variables in population, Means they are independent.

To Describe the strength of the relationship between two categorical variables we can use phi - coefficient | cramer's v

But in this case categorical variables have more than two classes or types so we can go for cramer's v.

If the categorical variables have two classes or types like live|dead , True|False then we can go for phi - coefficient | cramer's v.