This is the map of the market. http://www.smartmoney.com/map-of-the-market/.
If you look at the map you will notice 11 key areas: Health care, Consumer Cyclicals, Financial
Technology, Energy, Capital Goods, Telecom, Utilities, Basic Materials, Transport and
Consumer Staples.
Each key area has certain number of core companies. How do I find the correlation between those areas?
[If we have two stocks S and T whose correlation has to be find, then cor(S,T) = sigma (( S(i) - SA) (T(i) - TA)) / (sigmassigmatn)
S(i) & T(i) are closing prices of the stock on the ith day, SA & TA are the mean prices of the stocks, sigmas = standard deviation of S, sigmat = standard deviation of T and n is the number of the days over which the correlation is to be found - Grabbed from a research paper]
Can above info be extended to find the correlation between those 11 key areas? If so, how?
Thank you for your thoughts!
Edit: What are you looking to do with the correlation? As a technical indicator, it can be interesting to see when markets diverge/converge in price. Is this what you're after?