I am doing ANOVA using three fixed independent factors of which one is sex (two levels 'male' and 'female'), temperature (three levels: 1,2,3) and quality (two levels: good and bad) and I want to see the effect of these factors on dependent variable factors like life-span, weight and development. Now alongwith significant main effects I have significant interactions too. For eg. for weight I have significant three-way interaction of the above factors, and for development I have significant two way interaction of quality and temperature. the groups have unequal sample sizes. So what post-hoc tests can I use keeping in mind the unequal sample size and the three way interaction? I am interested in comparing between the good and bad quality effects for the three way interaction (as shown in the image below) Could anyone please guide me ? thanks .