So, I've never had all these problems at the same time before, but I have: - Likert data, from a 9 point scale - n = 317 v 177 respectively - SD = 2.08 v. .274; 1.9 v. 2.6; 2.5 v. 2.9 etc. (you get the picture: it's not terrible, but Levene's test is significant) - nonnormal distribution (positively skewed; quite flat)
If it's just unequal variances, but not unequal sample sizes, I'd be happy running a Student's. If it's just unequal variances and sample sizes, I'd run Welch's. But the normality violation is bothering me. I know that I shouldn't worry too much if the sample sizes are sufficiently large, but I've never really know how large is large enough not to worry.