correlation between binary strings

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Maria Imdad
Maria Imdad 2021-4-9
评论： Walter Roberson 2021-4-9
hi everyone I want to find the correlation between these two binary strings x and y
x=[1111111111111111111111111111111111111111111111111111111111111111];
y=[1000000001011001010110111110010101011010010000100010111101111110];
using the formula attached as figure. the value of E is 0.05 or 50%.
Thank you in advance

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回答（2 个）

Maria Imdad
Maria Imdad 2021-4-9
编辑：Maria Imdad 2021-4-9
0.05
  2 个评论
Walter Roberson
Walter Roberson 2021-4-9
If the values are represented by 0 and 1, then it seems to me using 0.5 would make more sense...

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Walter Roberson
Walter Roberson 2021-4-9
R = sum((x - E).*(y - E)) ./ (sqrt(sum((x-E).^2)) .* sqrt(sum((y-E).^2)));
  2 个评论
Maria Imdad
Maria Imdad 2021-4-9
will this formula compare and compute correlation between each corresponding bit? because i want it to iterrate for all 64 bits
Walter Roberson
Walter Roberson 2021-4-9
It handles all of x and all of y, assuming that they are the same size. It uses vector operations so it does not need to loop. The sigma operation in the equation is sum() here.

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