I have conducted a study in which I have gathered 3 sentences per participant. These sentences were then classified and the words per sentence were counted. I want to test if there are significant differences in the word count means for the different categories of the classification.
However, because the sentences are not fully independent (each participant has entered 3 sentences), I am worried that ANOVA would not be the right analysis, since it assumes the independence of the cases.
Would it be better to carry out non-parametric statistics on transformed word counts, or is it okay to do an ANOVA?
PS I have asked a related question about using the $\chi^2$ test in a similar situation to identify interactions between factors.