correlation between binary strings

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Maria Imdad
Maria Imdad on 9 Apr 2021
Commented: Walter Roberson on 9 Apr 2021
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
  1 Comment
Walter Roberson
Walter Roberson on 9 Apr 2021
the value of E is 0.05 or 50%.
?? 0.05 would be 5% not 50% ?

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Answers (2)

Maria Imdad
Maria Imdad on 9 Apr 2021
Edited: Maria Imdad on 9 Apr 2021
0.05
  2 Comments
Walter Roberson
Walter Roberson on 9 Apr 2021
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 on 9 Apr 2021
R = sum((x - E).*(y - E)) ./ (sqrt(sum((x-E).^2)) .* sqrt(sum((y-E).^2)));
  2 Comments
Maria Imdad
Maria Imdad on 9 Apr 2021
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 on 9 Apr 2021
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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