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This question already has an answer here:

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! :)

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marked as duplicate by gung - Reinstate Monica, Nick Cox, Peter Flom - Reinstate Monica Dec 7 '13 at 13:07

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

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https://stats.stackexchange.com/a/894/31152

This answer helped me when I was thinking about degrees of freedom

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