First I want to apologize for my Eniglish, I´m not a native speaker.

I am currently working on a research for school purposes, as I can´t write what my research is about I describe example equal to my research: I study relationship between eating bananas and extraversion.

I have 3 groups, heavy eaters, light eaters and noneaters. My first problem is, that these group are unequal in size (eg. HE=150, LE= 70, NE= 300). I´m currently using one-way ANOVA, Brown-Forsythe test and post hoc Games-Howell test because of unequality.

But I started to think if this is a good method to analyse ma data. I though about regression analysis, but I´ve read in my lecture notes that there is a problem with unequal sample sizes and correlation. And as I searched internet I found that many states that ANOVA and regression analysis are the same thing.

I am really confused by this "one-way ANOVA and regression are the same method" thing.

At school, we only had basic of statistics, so now I really struggle whenever I have to analyse data because I´m not sure when to use certain type of methods.

My second problem is that I have to compare my groups by gender also. Normaly, I would use two-way ANOVA, but same problem here, unequal sample sizes, and in Levene´s test, Sig. is lower than 0.05. But there is no nonparametric equivalent to two-way ANOVA, so I don´t know if I can still use two-way ANOVA despite Levene´s.

I´m using SPSS to analyse data.

Thanks in advance for every response