> Now my question: Am I allowed to use these functions given 
> that my data is unbalanced? 

Unusually, Yes, assuming all the other requisite assumptions are reasonably 
well satisfied. One-way ANOVA interpretation is not much affected by imbalance 
because (among other things) with only one factor there is no 'model order' 
dependence or hypothesis separation to worry about. You don't need to use 
alternate sum-of-squares calculations (eg type II and III as in car) because 
types I, II and III sums of squares are all the same in a one-way case.

In a two-factor or higher analysis it's a (very) different story. 

However, one-way anova is still adversely affected by failures in homogeneity 
of variance, non-normality etc. 

S Ellison

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