Parametric and Non-Parametric Tests of Independence

Question 1

test of corelation (r)

Answer 1

t test
t = r*(n-2)^0,5/(1-r^2)^0,5

issue = big data will almost always be significant

Question 2

spearman rank corellation coeficient (rs)

Answer 2

non-parametric test of correlation

corelation based on ranked values (median)

1. we rank all of the data if there is a tie we make an average of theese and dicrie it as the same rank

we use different rs but the same t test for correlation

Question 3

test of independence

Answer 3

right tail only. we seek if data are independent