>I would be careful with the Hamilton test in the case of powder
>diffraction, as your observations are not really independent from each
>other!
Strictly speaking this is not true. The individual measurements of powder
diffraction profile intensities are independent measurements. They do not
depend on the order of their measurement, for example. The fact that a
string of observations proceed over some feature of the diffraction profile
(i.e. a Bragg peak) is not evidence of their "dependence". The only
exception to this is profile measurements taken on a film or image plate
where one observation may "bleed over" onto neighboring ones. Only in that
case are the profile points correlated with each other in a statistical sense.
Bob Von Dreele