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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
Complete thread:
- Statistical independence, what is it? I mean really, what is it?? ElMaestro 2020-06-27 21:35 [General Statistics]
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- You’ve lost me now. Helmut 2020-06-28 21:55
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- Still not sure what you are aiming at…ElMaestro 2020-06-30 00:55
- Still not sure what you are aiming at… Helmut 2020-06-29 16:46
- Worded differently ElMaestro 2020-06-29 08:30
- You’ve lost me now. Helmut 2020-06-28 21:55
- Still none the wiser ElMaestro 2020-06-28 18:20
- Die don’t remember the last roll. Really. Helmut 2020-06-28 15:36
- Die don’t remember the last roll. Really. ElMaestro 2020-06-28 14:45
- Statistical independence, what is it? I mean really, what is it?? martin 2020-07-01 08:40
- Statistical independence, what is it? I mean really, what is it?? ElMaestro 2020-07-01 09:42
- Statistical independence, what is it? I mean really, what is it?? martin 2020-07-01 10:07
- Statistical independence, what is it? I mean really, what is it?? ElMaestro 2020-07-01 09:42
- Die don’t remember the last roll. Really. Helmut 2020-06-28 13:35
Ing. Helmut Schütz