A government agency is conducting a study on the performance of 12th grade students in mathematics across the country. In particular, they want to understand if there is a relationship between intelligence and scores, as well as the difference in performance between various locations.
Which combination of inferential statistics procedures should be used?
To understand the relationship between intelligence and scores, the correlation coefficient is an appropriate inferential statistical procedure as it measures the strength and direction of the relationship between two variables. To compare the performance differences between various locations, analysis of variance (ANOVA) is suitable as it determines if there are statistically significant differences between the means of three or more independent groups. Therefore, the combination of correlation coefficient and analysis of variance is the best choice for this study.
See 3.11 Exploratory Data Analysis - Elements: 3.Verify variable inter-dependence and collinearity. • Correlation and variance inflation. • ANOVA, t-test, F-test, chi square.