4. Look at the following table. What type of correlation coefficient would you u

Question

4. Look at the following table. What type of correlation coefficient would you use to examine the relationship between sex (defined as male or female) and political affiliation? How about family configuration (two-parent or single-parent) and high school GPA? Explain why you selected the answers vou did Level of Measurement and Examples Correlation being computed The correlation between voting preference and gender Variable X Variable Y Type of correlation Nominal (gender, such as male o female) Phi coefficient Nominal (voting preference, such as Republican or Democrat) Nominal (social clas:s such as high, medium, or low) Ordinal (rank in high school graduating class) Rank biserial coefficient The correlation between social class and rank in high school Point biserial Nominal (family configuration, such as intact or single parent) Interval (grade point average The correlation between family configuration and grade point average The correlation between height and weight Ordinal (height converted Ordinal (weight converted to rank) correlation Spearman rank to rank) coefficient Interval (number of problems solved) The correlation between Interval (age in years) Pearson product moment correlation number of problems solved coefficient and the age in years

Explanation / Answer

The correlation coefficient between sex (male or female) and political affiliation is Phi coefficient because the both the variables are nominal and whenever both variables are nominal, we have to use the phi correlation coefficient..

The correlation coefficient between familiy configuration (two parents or single parent) and high school GPA is Point biserial because one variable is nominal(family configuration) and other variable is interval (high school GPA)

So, point biserial is the required correlation coefficient for family configuration and high school GPA.

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