The idea of degrees of freedom is pretty well sunk into my head, but I was wondering could someone perhaps give me few easy examples on how one would determine the number of degrees of freedom?
For example: Lets say that we have a sample of $n$ observations $x_1, x_2, ..., x_n$ following some distribution.
Could someone come up artificial examples of different number of degrees of freedom with this sample, say: examples where degrees of freedom are:
$$\text{degrees of freedom} = n$$ $$\text{degrees of freedom} = n-1$$ $$\text{degrees of freedom} = n-2$$ $$\text{degrees of freedom} = n-3$$
This would help get a grasp on, how one would determine the actual number of degrees of freedom. Thank you! :)
