I have 200 participants who worked in pairs to complete collaborative problem-solving (CPS) tasks. I am studying the relationship between enjoyment and CPS performance. I believe this relationship is mediated by effort regulation. So, I have two latent variables (enjoyment, effort regulation), one continuous dependent variable (CPS performance), and I would like to control for Gender and Prior knowledge in numeracy. My data is nested, and participants were paired based on gender. So, I have 100 pairs, 50 pairs females, 50 pairs males
Is it correct to do SEM, Type=Complex, Cluster=pairs, to study this mediation?
Is it a problem that groups are comprised of only two people?