I performed a test where 24 subjects performed 3 trials with 4
conditions.  So each person has three results of "best" conditions,
and I have a total of 72 "best" conditions. I did a chi square
goodness of fit test using all 72 trial results but realized I
violated the assumption that all data come from independent sources. 
Are there any other tests that allow me to use all 72 trials, or can I
only perform the chi square GoF test on the results of a single trial
(for example, trial 3 with n=24)?

The "best" measurement refers to task time, but each user did not
perform the same task so I can't do a parametric Anova.  I want to be
able to perform a statistical analysis of the best performing
condition across all subjects, so I'm looking at frequency of best
condition as opposed to using the time measurement.

For example: the frequecies of best condition are as follows (for all
72 trials)
condition 1:28, condition 2:16, condition 3:17, condition 4: 11
the chi square test shows significant difference when I compare all
conditions, and also when I compare condition 1 to all three of the
other conditions combined.

Any help is greatly appreciated.

-Joe
[EMAIL PROTECTED]
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