I'm trying to make these similar concepts clear in my mind but it's not easy. Let's make a brainstorming together!
Although there are some differences the related literature says:
the intent of a meta-analysis is to aggregate the findings of quantitative studies and analyze this for a true effect;
the intent of a meta-synthesis is to synthesize the findings of qualitative studies and reinterpret the data;
On the other hand, when we need to examine both the quantitative and qualitative studies, we have to prefer a different method. However, what is the the correct option for us?
Is examining both the qualitative and quantitave studies at the same time a wrong approach?
Do we need to use meta-integration (aka mixed-meta synthesis) or systematic review? What are the differences between these two methods? What are the procedures that we need to follow?
Of course there are lots of studies in the literature but lets make it clear: which one is the "right" one? Let's share, discuss and try to make a consensus on this issue!