Re: particle distribution - randomness/uniformity

Posted by Albert Cardona on May 25, 2007; 4:54pm
URL: http://imagej.273.s1.nabble.com/particle-distribution-randomness-uniformity-tp3699301p3699304.html

Statistics books suggest that a random spread of particles would follow
a Poisson distribution.
For example, consider as many cells in a grid over the image as
particles per image. Then, following a Poisson, determine the expected
number of cells with zero, one, two, etc. particles.
Finally compare the distribution of your spread with the expected,
Poisson-following one. You can do this with a Chi-square.

The above gives you a qualitative answer: are your particles randomly
distributed or not. If they are, then you can do a k-means clustering
analysis to find out how many clusters arise from your particle spread.

Albert