I have to perform a meta-regression, using mixed or random effects model, but I don't have any software (except Matlab) and I'm new on this topic (having a relativelly poor statistics background).
Briefly the problem I'm addressing is as follows.
I've collected several effect sized from different studies. In my case, the effect size are percentages of adoption of a specific behaviour.
For example, one study analysed a sample of 100 individuals and concluded that 35 % adopt the behaviour under analysis, whereas another study analysed a sample of 150 individuals and concluded that 45 % adopt the behaviour. My goal is to determine the average of adoption of the behaviour. All the studies are observational (no control groups).
I have to perform a meta-analysis because its study have different characteristics, as for example, the sample size or for instance the average level of education of the sample. Some of the dependent variables are dummy variables.
I read many things about meta analysis/regression but I'm so confused and I don't know how should I start my analysis, which model should I follow, what are the adequate formulation to calculate variance and the weights etc. How the heterogenity is included in the model?
I thought about using this model: y=b0+b1x+b2x+...+u+e (fixed+random effect model)
Is the way I'm thinking correct? Do you have any suggestion for me? If not, what is the step-by-step procedure? (in matlab or excel).
I would appreciate if you could guide me on this analysis.
I'm sorry if I wasn't clear or specific enough.