Hypothesis Testing

Question 1

Assumptions of PMCC test

Answer 1

Population must follow a bivariate normal distribution
X must be normally distributed
Y must be normally distributed
Sample must be random

Question 2

What is the test stat and how do you draw critical region for PMMC test

Answer 2

T.S = r
C.R = the long line with 0 in middle and -1 and 1 on both side

Get the value for critical region in formula book using n=

Question 3

Assumptions of Spearman’s Rank Test

Answer 3

Population : No assumptions about the population are required

Sample : the sample must be random

Question 4

What is the test stat and critical region for spearman’s rank test

Answer 4

T.S = rs

C.R = long line with 0 in the middle and -1 and 1 on the sides

The value for C.R comes from formula book

Question 5

Why is PMCC test better than Spearman’s rank

Answer 5

The test is more powerful so it is more likely to detect a correlation if one exists

Question 6

Why is PMCC test worse than Spearman’s rank test

Answer 6

You need the assumption that the underlying population has a bivariate normal distribution

Question 7

Why is Spearman’s rank test better than PMCC test

Answer 7

As long as the sample is random the test can always be used

Question 8

Why is Spearman’s rank test worse than PMCC test

Answer 8

It isn’t as powerful as the p-test. This is because it only uses ranks

Question 9

What is the H0 and H1 in PMCC test

Answer 9

e >
e <
e=\

Question 10

What is the H0 and H1 in Spearman’s rank test

Answer 10

es >
es <

es=\