Good evening everyone, I am conducting a study aiming to assess the impact of attending an urban/rural school on the academic performance of students in reading and mathematics at the end of their schooling. I intend to use the propensity score method for this purpose. However, I am facing a problem as my data is for a single year but is hierarchical at two levels, namely the student and the school levels. In the literature, there is mention of propensity score in a multilevel model. I have some knowledge of multilevel analysis, but I am unsure how to combine the two techniques to obtain more robust results. I would greatly appreciate your assistance. Here are the commands I have already entered and the variables selected for my analysis.
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pscore Localisation sexedeelv agedeélève ses red1ublemt mater0elle rvauxdome11ique langue1arlé Nbelvdanslécole Nbensgt typeécole INDICE_INFRASTRUCTURES INDICE_AMENAG_TERRI , pscore(myscore) blockid(myblock) comsup mfx compute pscore Localisation sexedeelv agedeélève ses red1ublemt mater0elle rvauxdome11ique langue1arlé Nbelvdanslécole Nbensgt typeécole INDICE_INFRASTRUCTURES INDICE_AMENAG_TERRI , kernel outcome(LL) psmatch2 Localisation sexedeelv agedeélève ses red1ublemt mater0elle rvauxdome11ique langue1arlé Nbelvdanslécole Nbensgt typeécole INDICE_INFRASTRUCTURES INDICE_AMENAG_TERRI , kernel outcome(LL) psmatch2 Localisation sexedeelv agedeélève ses red1ublemt mater0elle rvauxdome11ique langue1arlé Nbelvdanslécole Nbensgt typeécole INDICE_INFRASTRUCTURES INDICE_AMENAG_TERRI , kernel outcome( moyenlecture ) psmatch2 Localisation sexedeelv agedeélève ses red1ublemt mater0elle rvauxdome11ique langue1arlé Nbelvdanslécole Nbensgt typeécole INDICE_INFRASTRUCTURES INDICE_AMENAG_TERRI , outcome( moyenlecture ) common neighbor(1) psmatch2 Localisation sexedeelv agedeélève ses red1ublemt mater0elle rvauxdome11ique langue1arlé Nbelvdanslécole Nbensgt typeécole INDICE_INFRASTRUCTURES INDICE_AMENAG_TERRI , outcome( moyenlecture ) common neighbor(3) psmatch2 Localisation sexedeelv agedeélève ses red1ublemt mater0elle rvauxdome11ique langue1arlé Nbelvdanslécole Nbensgt typeécole INDICE_INFRASTRUCTURES INDICE_AMENAG_TERRI , radius caliper(0.03) outcome( moyenlecture )