Suppose i have several studies (e.g 5) and i use conditional quantile regression (e.g using the package quantreg
in R) to obtain conditional quantile estimates at several percentiles (e.g 0.1, 0.2, 0.3, ... 0.9) using the same model ($y=B_1x_1 + B_2x_2 + e$) in each study. Can i combine estimates at each percentile (separately) from the different studies using meta analysis, assigning random effect to the study from which the estimate was obtained?
I've read that conditional quantile regression cannot be generalized to the population, however doesn't random effects meta-analysis assess variance attributed to differences in sampling populations by definition?