Correlation

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Salvatore Turino
Salvatore Turino 2012-1-25
Hello who i can do the correlation between two numbers? thank you
[EDIT SCd - moved answer to question]
i've seen that there is the function corrcoef(x,y) but i want to know if i have an x and an y vector of the same size does this function correlate each x(i) element with the y(i) at the same position? to be clear i need the correlation of x(1) with y(1), x(2) with y(2)..x(n) with y(n).

回答(2 个)

Sean de Wolski
Sean de Wolski 2012-1-25
Yes. It does.
A good example:
corrcoef(1:10,10:-1:1)
More:
corrcoef when called with two scalars or vectors produces a 2x2 matrix. The diagonal of the matrix is the correlation of the two vectors to themselves. These should always be 1 (unless there is a nan or an inf).
The antidiagonal is each vector's correlation to each other.
so corrcoef(x,y) will be: [x2x, x2y; y2x y2y]
These are the values you are most likely after. Scalars will always be perfectly correlated to each other. If I give pi and 42 to corrcoef for the data provided they are perfectly correlated (as is pi and -42 or any other number out there!). The same is true for 2 element vectors except there is an addition of sign, e.g:
corrcoef([1,2],[1,1000])
versus
corrcoef([1,2],[1,-1000])
  1 个评论
Salvatore Turino
Salvatore Turino 2012-1-25
uhm if i do corrcoef(1,1) i expect 1 instead i got NaN, instead if i do corrcoef([1,2],[1,5]) i got a matrix...that is also strange since i have as result:
1.0000 1.0000
1.0000 1.0000
can you explain me how to interpretate this result?i mean what is the element 11, 12, 21 and 22 of this matrix?

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Salvatore Turino
Salvatore Turino 2012-1-25
ok but if i need the correlation of two scalar how can i do it?what i need is the simple correlation index of Pearson.
so a value that is around 0 or 1.
doing
corrcoef(1:10,10:-1:1)
at the end i obtain always a matrix 2x2 and i can't watch the correlation of the single values.
  5 个评论
Salvatore Turino
Salvatore Turino 2012-1-25
well from what my teacher told me i need to know how different is 1 from 3 or 1 from 2, and he told me to use the correlation.
Sean de Wolski
Sean de Wolski 2012-1-25
oh. I would use a difference (minus).
3 - 1

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