How i can program the following metrics in MATLAB

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zahid 2016-2-22

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编辑： Roger Stafford 2016-2-23

Dear all

With due respect i need to programme my problem where i need to calculate some following quantities.I do not know how i can programme this in matlab.Suppose the following matrix is given.

Now i need to calculate the following measures for this matrix

This formula calculate medians of absolute values of each column of the matrix X.The second measure is following

How i can program this in matalb.Total values for Pj will be n(i.e the number of rows) and total value of Ti will be k(i.e the number of columns).For simplicity we can define the matrix X =[1,5,3;7,2,-2;4,4,-2];Actually the value X in my problem is big but for simplicity i have taken this small data for understanding purpose.

Thanks

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Answer 1

Roger Stafford 2016-2-22

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https://ww2.mathworks.cn/matlabcentral/answers/269343-how-i-can-program-the-following-metrics-in-matlab#answer_210750

编辑：Roger Stafford 2016-2-23

在 MATLAB Online 中打开

In the definition of P(j) you have j varying from 1 to n, and therefore j should be the first (row) index of X, X(j,i), and not X(i,j). Assuming that to be true, do this:

   T = median(abs(X),1);
   P = sum(max(repmat(T,n,1),abs(X)),2);

The T result should be a row vector of length k and the P result a column vector of length n.

Read these:

 http://www.mathworks.com/help/matlab/ref/median.html
 http://www.mathworks.com/help/matlab/ref/max.html
 http://www.mathworks.com/help/matlab/ref/sum.html