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 M¢25  Funded By Mahalo ? |  May 25, 2009 04:57 PM

Does anyone know what correlation coefficient is?

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May 25, 2009 08:23 PM | view on twitter
Correlation coefficient is one way to try to measure if two different things have a connection, for example daily temperature and ice-cream sales.

If the coefficient's value is 1 it means the two things move totally together.

It it's -1, it means the two things move in exactly the opposite way to each other, so if one goes up, the other goes down in proportion.

When it's 0, it means the two things don't move together at all, there is no apparent connection between them.

Most of the time, values aren't anything like 0, 1 or -1. Typically a value of 0.7 would be thought of as a high degree of correlation.

There are two important things to remember about correlation coefficients.

1) It is typically only looking for a certain simple ("linear") relationship between the two things being compared. There might be a strong relationship, but not of the simple kind that correlation coefficients are designed to measure.

2) There is a saying: "Correlation does not equal causality". That means just because two things are highly correlated, it doesn't mean one *causes* the other. For example if we found a strong correlation between drinking red wine and liking garlic, it doesn't mean that drinking wine *makes* you like garlic, or that liking garlic causes you to drink red wine.

Further reading:

http://www.socialresearchmethods.net/kb/statcorr.php


Tags: statistics

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May 25, 2009 07:48 PM | view on twitter
The correlation coefficient is a simple idea that is complex in use. Essentially, it asks:

If item 1 changes, what happens to item 2?

I'll use a simple example:
If you turn up the thermostat in your car or house, the temperature should go up - that is positive correlation.
If you wired things backwards on accident, when you turned it up the temperature would go down - that is negative correlation.
If you hooked things up wrong totally (or the power were out!) and you turned it up, and nothing happened, then there is no (zero) correlation.

The correlation coefficient is a number to describe that.
If you turn the setting up 5 degrees and the temperature goes UP 5 degrees, the coefficient is +1.0.
If you turn the setting up 5 degrees and the temperature goes DOWN 5 degrees, the coefficient is -1.0.
If you turn the setting up 5 degrees and the temperature doesn't change, the coefficient is 0.0.

Numbers in between work too, of course. If you turn up the setting 5 degrees and it goes up 2.5, then your coefficient is +0.5.
Source(s):
http://www.stats.gla.ac.uk/steps/glossary/paired_data.html#corrcoeff (a complex explanation)


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