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correlation
relationship between two variables of interest
degree/magnitude and direction
measured, but not manipulated
correlation scatterplots
graph displaying relationship between two quantitative variables
closer data points mirror a circle, less of a relationship
correlation coefficient (Pearson’s r)
numerical value describing the direction and strength of a linear relationship
ranges from -1 to 1; 0 = no relationship
truncated range
occurs when one variable has little variance, artificially weakening a correlation
certain amount of spread/variability in scores needed
ex: SAT score/college GPA at an Ivy League school might seem to make SAT scores weak predictors of GPA, since 90% of average students not reflected
curvilinear/non-linear relationships
correlation coefficients cannot accurately reflect non-linear relationships, sometimes masking real relationships
spurious correlations
correlation that appears meaningful but is actually produced by another variable or chance
ex: ice cream sales and shark attacks; summertime drives both
correlation advantages
allows us to check relationships for things that cannot be manipulated or randomly assigned
can identify potential causes, leading to later experiments
high ecological validity
correlation disadvantages
causal directionality issue
reverse causality
3rd variables/confounds
causal directionality issue
two variables may be related, but cannot determine which caused the other
revserse causality issue
correlations cannot establish which variable is the cause and which is the outcome
can be addressed with longitudinal designs
longitudinal design
measures same variables/people across multiple time points, helping examine temporal order