Save the estimates from these separate analyses and then test if the mean of the estimates is different from zero. This strategy is advisable if the causal variable varies considerably within the nonindependent units. So for instance, if classrooms were not independent and gender of student was an independent variable, then one would compute the mean difference between boys and girls for each classroom. One issue with this approach is that often some of these estimates are more precise and so the analysis should weight some estimates more than others.
Combined or pooled analysis: Multilevel or hierarchical linear modeling essentially combines the two above strategies. In essence, it solves the unit of analysis question by making it a pseudo question. All the observations are analyzed, and the degree of nonindependence is empirically estimated. (This strategy is virtually required when units are