How do you calculate landau's index of linearity?

Answer 1

In our simulations, we use this (in Matlab/Octave):

function l=linearityindex(matrix)

m=(matrix>matrix')+.5*(matrix==matrix');

rowsums=sum(m,2)-.5;

n=length(rowsums);

l=12/(n^3-n)*sum((rowsums-(n-1)/2).^2);

You may want to check out Landau's 1951 paper, "On dominance relations and the structure of animal societies: I. Effect of inherent characteristics".

From http://www.springerlink.com/content/366920782vwr0648/