I have an experimental factor that is X (YY vs. control group) and I want to measure if culture can influence the assessment of this experimental factor. I don't know if possibility 1 or2 is correct:

Possibility 1: I use a 2 (YY vs. control) group between-subject design and conduct this for three different countries. Then I use three different one-way ANOVAs to see results.

Possibility 2: I use a 2 (YY vs. control) x 3 (country 1, 2 & 3) group between-subject design and use an n-way ANOVA.

Which one is correct?? Thanks