Correlation does not always mean that one causes the other. It is very possible that there is a third factor involved.
Correlation usually has one of two directions. These are positive or negative. If it is positive, then the two sets go up together. If it is negative, then one goes up while the other goes down.
Explaining correlation [change]
Strong and weak are words used to describe correlation. If there is strong correlation, then the points are all close together. If there is weak correlation, then the points are all spread apart. There are ways of making numbers show how strong the correlation is. These measurements are called correlation coefficients. The best known is the Pearson product-moment correlation coefficient. You put in data into a formula and it gives you a number. If the number is 1 or −1, then there is strong correlation. If the answer is 0, then there is no correlation. Another kind of correlation coefficient is Spearman's rank correlation coefficient.
Correlation vs causation [change]
Correlation does not always mean that one thing causes the other thing (causation), because a something else might have caused both. For example, on hot days people buy ice cream, and people also go to the beach where some are eaten by sharks. There is a correlation between ice cream sales and shark attacks (they both go up as the temperature goes up in this case). But just because ice cream sales go up does not cause (causation) more shark attacks.
Because correlation does not imply causation scientists, economists, etc. will test out theories by creating isolated environments where only one factor is changed (this is not always possible though). However economists, scientists, and especially politicians and salesmen will sometimes say that correlation implies causation for personal gain or out of stupidity.
Notes and references [change]
- Even though it is called 'Pearson', it was first made by Francis Galton.
Other pages [change]
- Cohen, J., Cohen P., West, S.G., & Aiken, L.S. (2003). Applied multiple regression/correlation analysis for the behavioral sciences. (3rd ed.) Hillsdale, NJ: Lawrence Erlbaum Associates.
Other websites [change]
- Correlation Information – At StatisticalEngineering.com
- Statsoft Electronic Textbook
- Pearson's Correlation Coefficient – How to work it out it quickly
- Learning by Simulations – The spread of the correlation coefficient
- CorrMatr.c simple program for working out a correlation matrix
- Understanding Correlation – More beginner's information by a Hawaii professor