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OK, I try again.
I give you two functions of a sample x, call the functions f and g (or Z and s, or alpha and beta, or apple and banana). Symbols not important. How do we determine that f and g are independent?
I completely see the point about mean and dispersion, no issue, the plot is a nice example of apparent "correlationlessness".
Simulation of that specific case aside, how about generally, when f and g are not necessarily mean and dispersion indicators of the x-sample from a normal distribution?
I give you two functions of a sample x, call the functions f and g (or Z and s, or alpha and beta, or apple and banana). Symbols not important. How do we determine that f and g are independent?
I completely see the point about mean and dispersion, no issue, the plot is a nice example of apparent "correlationlessness".
Simulation of that specific case aside, how about generally, when f and g are not necessarily mean and dispersion indicators of the x-sample from a normal distribution?
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Pass or fail!
ElMaestro
Pass or fail!
ElMaestro
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Ing. Helmut Schütz