Correlation, association and regression lines
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14 Terms
What is bivariate data?
Data for two variables
What does PMCC measure?
Linear correlation
To test for linear correlation, what must the data be?
Bivariate normal
What shape does bivariate normal data form?
An elliptical shape
What does SRCC measure?
Association between ranks
What is the value for PMCC?
r value
What is the value for SRCC?
rs value
Where are the critical regions for PMCC and SRCC?
On either end of the distribution (close to -1 and +1)
How do you calculate residuals?
Actual value - predicted value
What is the predicted value?
The value taken from the regression line
What should the sum of the residuals always add up to?
Zero
What do you need to do to the data before calculating the value for SRCC?
Rank the data
What are H0 and H1 for a SRCC hypothesis test?
H0: no association between x and y
H1: positive/negative/some association between x and y
What are H0 and H1 for a PMCC hypothesis test?
H0: p = 0
H1: p > 0 or p < 0 or p doesn’t equal 0
