normal distribution

i have a 2D matrix whose values depends upon two axis

A=zeros(5,5);
A=[ 1 1 1 1 1;
  2 6 7 6 2;
  3 7 9 7 3;
  2 6 7 6 2;
  1 2 5 2 1;]
% now calculating mean value
area=sum(sum(A));
m_value=area/25
% calculating mean vector;
u=zeros(2,1);
for i=1:5
  for j=1:5
    u=u+(A(i,j)*[i;j]);  
  end
end
u=u/area
uu=u*u';
var=zeros(2);
for i=1:5
  for j=1:5
      sq=[i;j]*[i;j]';
      var=var+ (A(i,j)*sq/area);
  end
end
var=var-uu;% this is covariance matrix
%*NOw how do i test that data contained in matrix A  is normally distributed or not*
*which test/equation should i apply?*
*i think it is the case of multivariate *
    any suggestions comments are welcome

Answer 1

[the cyclist]

I am not aware of any tests for multivariate normality in MATLAB, including in the Statistics Toolbox.

I also scanned the file exchange, but did not see anything useful.

You could code it yourself. Mardia's test from this page:

http://en.wikipedia.org/wiki/Multivariate_normal_distribution#Multivariate_normality_tests

seems like it might not be too difficult to code.

[Avishek]

yeah coding is not my problem, but i am new to coding, i just want to know how to find whether the data in matrix follows distribution or not.

the link you provided has mean(u), sigma(variance),and X(mustbe data of x).

my confusion is " should i use the mean values or mean vectors"

and how do i incorporate these matrix, vectors in the equation , since they are for single elements.