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I wrote a function for a math formula, may I ask you please check my code?

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Hey all,
For my research, I needed to calculate some formula, So I searched everywhere, including Matlab file exchange and find nothing about the formula that I needed. Hence I decided to write a function for them and use them in my code. This is the very first time for me to write a function and also the first time to write a math formula. May I please ask you to check if where I do wrong?
Here is the formula:
And here is the function I wrote (I considered O as x and M as y):
function index_agreement = indexagreement(x,y)
%In the name of God - This function calculate
% Detailed explanation goes here
A = sum((y-x).^2);
B = abs(y - (mean(x)));
C = x - abs((mean(x)));
D = sum((B+C).^2);
index_agreement = 1 - (D);
end
Description: I run this function successfully, but I'm not sure about results because I believe they are not reasonable.
I want to thank you all.
Best Regards

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Accepted Answer

Image Analyst
Image Analyst on 15 Feb 2020
Assuming vertical bars mean absolute value and not modulus...
You got C wrong. Try
C = abs(x - abs((mean(x)));
then you need
index_agreement = 1 - abs(A / D);
There may be more errors, but I stopped looking once I found those errors.

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Behzad Navidi
Behzad Navidi on 15 Feb 2020
I'm sorry it's my bad, jsut one thing in this line:
index_agreement = 1 - abs(A / D);
why we should add an abs?
the formula is 1-(fraction) not 1-|fraction|. in fact, in the image, they used [] as a parenthesis.
is still should be :
index_agreement = 1 - abs(A / D);
%or now I should use:
index_agreement = 1 - (A / D);
?
Thank you
Image Analyst
Image Analyst on 16 Feb 2020
I thought it was weird because it should be positive already, but I just saw the vertical lines on either side of the fraction so I just said to do abs. If they are brackets, then I didn't notice the little "feet" on the bottom of the brackets, and the top ones are missing because your image clipped them off. But, no, you do not need the abs().

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