I have a vector with 3000 data points consisting of values on a likert scale from 1 to 9. It is ordinal data without normal distribution. Now I would like to calculate the correlation of this vector to three other vectors each of size 3000 as follows:
Correlation to a vector with continuous values.
Correlation to a vector containing 21 different continuous values between 0.25 and 0.8.
Correlation to a vector containing only 4 different values (-2,2,-0.2,0.2).
Is it correct if I'm using for all three cases the Kendal's tau correlation?