# what statistical test should i use for three groups with different sample sizes?

What statistical test should I use if I have three independent groups of interval data and would want to check whether their means are significantly different? I'd also note that the samples sizes of each group is different (N1= 50, N2= 10, N3=13).

Would it be wiser to compare one with another and then do the same for the other two other pairs? (G1=G2; G2=G3; G1=G3)?

I understand that one-way ANOVA and a Tukey's post-hoc would be the best option but does the difference in sample size pose a problem?

Thank you!

• does the difference in sample size pose a problem? -- No Commented May 29, 2014 at 8:32
• @Glen_b I think it might when the assumption of equal variances is not satisfied. This is the first reference I found from google theanalysisfactor.com/… Commented Nov 24, 2014 at 0:35
• @Glen_b I see your point. The OP's question indeed does not suggest that any of the assumptions are violated. Commented Nov 24, 2014 at 9:20
• @JohnK It is something that's worth mentioning -- I was just trying to explain my reasoning for commenting the way I did. Commented Nov 24, 2014 at 9:41