Learning Objectives
Introduction to the concept of correlation
13-1: Explain reasons for creating a scatterplot for a set of data.
13-2: Describe three aspects of the relationship between variables.
13-3: Understand what the Pearson correlation coefficient (r) measures.
13-4: Describe the main features and characteristics of the Pearson r.
13-5: Describe the concept of covariance and the roles of covariance and variance in calculating the Pearson r.
Inferential statistics: Pearson correlation coefficient
13-6: Understand, in testing the Pearson r, what is implied by the null hypothesis (H0).and alternative (H1) hypothesis.
13-7: Calculate and interpret the degrees of freedom (df) and the Pearson correlation (r).
13-8: Understand what is represented by r2 for the Pearson correlation.
Predicting one variable from another: Linear regression
13-9: Describe the difference between ‘correlation’ and ‘regression’.
13-10: Understand the purpose of a linear regression equation.
13-11: Calculate and interpret the linear regression equation.
13-12: Understand how to draw a linear regression equation into a scatterplot.
Correlating two sets of ranks: The Spearman rank order correlation
13-13: Describe research situations that may involve the use of ranked variables.
13-14: Understand similarities and differences between the Spearman rank order correlation (rs) and the Pearson correlation (r).
13-15: Calculate and interpret the Spearman rank order correlation (rs).
Correlational statistics vs. correlational research
13-16: Understand the differences between correlational statistics and correlational research.