Correlations Flashcards
3 characteristics described by a correlation coefficient?
Strength (consistency of relationship)
Direction (positive indicates variables move together)
Form (linear vs. nonlinear)
What factors influence the strength of meaning of a correlation
restricted range
outliers
What is the difference between r and r2?
r - estimate of degree of relationship between two variable
r2 - determination coefficient (overlap in variance of two variables; percentage of Y captured by X) - preferred way to describe strength, more directly interpretable
Pearson’s r
linear
continuous
spearman
non linear
ordinal
point biserial
dichotomous/continuous
similar to independent t-test
phi coefficient
two dichotomous variables
similar to chi squared
correlation vs. covariation
Correlation coefficient is in standardized metric versus covariance is unstandardized and is in the units of your variable
Correlation coefficient: average of the cross-products
Covariance: unstandardized coefficient that is based on the scaling of two variables