Correlation, association and regression lines

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