Statistics

Question 1

Spearman rank-order Correlation

* Used as scores on both variables are in the form of ranks.

* The observations on each variable are between-subjects in nature.

Formula for Spearmans rank-order Correlations

R = 1 ÐŽV 6 D

N(N ÐŽV1)

Hypothesis:

H : = A=B

The ranks of A and B are significantly related

H : = A=B

There is no significant relationship between ranks A and B.

Reel A B D D

1 3 4 -1 1

2 5 5 0 0

3 1 3 -2 4

4 4 1 3 9

5 6 7 -1 1

6 7 6 1 1

7 2 2 0 0

D = 16

= 1- 6 D

N(N -1)

= 1- (6) (16)

7 (7 -1)

= 1- 96

336

= 1- 0.286

= 0.714

Critical value for Spearmans r: r = 1

A spearman rank-order Correlation addressed the relationship between rank-order scores for a new model fishing reel between Magazine A and Magazine B. For an alpha level of .05, the observed correlation was found to be significantly significant (r (5) = .071, p