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Old 2009-02-24, 22:09   #1

226508 Posts
Default Spearman's rank correlation coefficient

Hi. I am not Flatlander, I am a 10 year old. ;-)

How did the constant '6' get into the formula?

Last fiddled with by akruppa on 2009-02-24 at 23:11 Reason: Note: post was in its own thread, I merged threads into one
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Old 2009-02-25, 04:58   #2
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Feb 2003

3·191 Posts
Default Spearman rank correlation coefficient

Originally Posted by Unregistered View Post
Hi. I am not Flatlander, I am a 10 year old. ;-)

How did the constant '6' get into the formula?
Short answer: it comes from the 6 in the formula for the sum of the squares of the numbers 1 to n.

A bit more detail:
The Spearman rank correlation coefficient is just the more common Pearson (or product-moment) correlation coefficient, using the ranks of the data instead of the original data. Because the ranks are just the numbers 1 to n (if there are no ties) the formula can be simplified a lot, using mostly the formula for the sum of the numbers 1 to n & the formula for the sum of their squares.

I hope that helps enough. (Probably broken rule 2 & given too much overt detail.) Anyway, feel free to ask for more.

Moderators: I think this should be a separate thread, so we don't have statistics formula posts mixed in with comet ones. And our not-Flatlander poster could more easily find it again, too.

Last fiddled with by akruppa on 2009-02-25 at 13:17 Reason: Moved posts into separate thread again, as requested
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Old 2009-03-03, 19:56   #3

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Thank you.
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