- #1
Drudge
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Homework Statement
calculate the rank order correlation between the following data:
6, 5, 4, 2, 3, 3, 8, 3, 7, 6, 7, 5, 5, 4, 2, 7, 6, 2, 4, 6
4, 3, 6, 7, 6, 7, 1, 9, 1, 2, 3, 4, 5, 5, 7, 1, 2, 9, 5, 4
Homework Equations
Following the output from http://www.vassarstats.net/corr_rank.html, given the ranks, then from each individual rank subtract the equivalent opposing / matching rank. Lastly, raise every subtraction to the power of two and sum up results:
Ʃ( #x[itex]_{i}[/itex] - #y[itex]_{i}[/itex] )[itex]^{2}[/itex]
The Attempt at a Solution
I have used the aforementioned online site to help my calculations, and have used the ranks given there, from the appropriate variables, to perform the previously described actions.
The answer is ≈ -0.93. This is confirmed by vassarstat.net. However, vassarstat does not give any explanation how to perform the rest of the problem.
I can only get ≈-0.90. After Ʃ( #x[itex]_{i}[/itex] - #y[itex]_{i}[/itex] )[itex]^{2}[/itex], I get 2529. Then I use the spearman rank order correlation equation 1 - [itex]\frac{6 * 2529}{20 * (20^{2} - 1)}[/itex] ≈ -0.90