Recognize wheter or not two distributions are independent

[Ell]

Hello,
I'm performing some tests using the same group of people under different conditions.
All users have to perform the task with one set-up and then the same group of people performs the same task with another set-up.
I was thinking of comparing their performances with a 1-way ANOVA however, I was wondering about the dependency between the groups.
Can I consider them as independent distribution?

Thanks!

 

[Dason]

So you're going to have paired observations? I don't see how you could consider those independent.

 

[hlsmith]

Also, does it matter they have already done the task once? Did you randomize the individual ordering of cycles?

 

[Ell]

Which non-parametric test do you think I should use then?

 

[Ell]

Also, does it matter they have already done the task once? Did you randomize the individual ordering of cycles?

No I didn't

 

[hlsmith]

How is the outcome formatted and what distribution does it take on?