City

Null hypothesis

Trace test

Characteristic root test

Trace statistics

Threshold value (5%)

Characteristic root statistic

Threshold value (5%)

First class

none

56.39

29.8**

24.15

21.13**

At least one

32.24

15.5**

21.89

14.26**

At most two

10.36

3.84**

10.36

3.84**

Second class

none

36.48

29.8**

23.43

21.13**

At least one

13.05

15.5

11.16

14.26

At most two

1.89

3.84

1.89

3.84

Third class

none

46.06

29.8**

29.03

21.13**

At least one

17.03

15.5**

15.5

14.26**

At most two

1.52

3.84

1.52

3.84