Applying spearman's correlation - Theme
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The scores for nine students in history and algebra are as follows:
Compute the Spearman rank correlation.
Student # | History Score | History Rank | Algebra Score | Algebra Rank |
1 | 35 | 3 | 30 | 5 |
2 | 23 | 5 | 33 | 3 |
3 | 47 | 1 | 45 | 2 |
4 | 17 | 6 | 23 | 6 |
5 | 10 | 7 | 8 | 8 |
6 | 43 | 2 | 49 | 1 |
7 | 9 | 8 | 12 | 7 |
8 | 6 | 9 | 4 | 9 |
9 | 28 | 4 | 31 | 4 |
Student # | History Score | History Rank | Algebra Score | Algebra Rank | d | d2 |
1 | 35 | 3 | 30 | 5 | 2 | 4 |
2 | 23 | 5 | 33 | 3 | 2 | 4 |
3 | 47 | 1 | 45 | 2 | 1 | 1 |
4 | 17 | 6 | 23 | 6 | 0 | 0 |
5 | 10 | 7 | 8 | 8 | 1 | 1 |
6 | 43 | 2 | 49 | 1 | 1 | 1 |
7 | 9 | 8 | 12 | 7 | 1 | 1 |
8 | 6 | 9 | 4 | 9 | 0 | 0 |
9 | 28 | 4 | 31 | 4 | 0 | 0 |
\[\rho = 1 - \frac{6\sum{d^2_i}}{n(n^2-1)}\]
= 1 – (6*12)/(9(81-1))
= 1 – 72/720
= 1-0.1
= 0.9
> The Spearman Rank Correlation for this set of data is 0.9.
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57002 | 2 | 1 |
Prif. Reza contributed on 11-01-2021 18:24
Azad university
Statistics Nwosu Chijioke Peter contributed on 04-06-2023 22:22
It added to my knowledge of statistics
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