Decomposition of effect of self-excluded model (3a) and its re-parameterized form (3b).

aAs explained in the main text, yij is an observed outcome of individual i in group j, xij is an individual-level social capital score of individual i in group j, = is the mean of social capital scores of all individuals in group j, nj is the size of the group j, and = is the mean of social capital scores of all individuals (excluding individual i) in group j.正如正文所述，$y_{ij}$为群组$j$中个体$i$的观测结果，$x_{ij}$为群组$j$中个体$i$的个体层面社会资本得分（individual-level social capital score）；$ar{x}_{.j}$为群组$j$内全体个体社会资本得分的均值，$n_j$为群组$j$的规模；$ar{x}_{-i,j}$为群组$j$中剔除个体$i$后其余所有个体社会资本得分的均值。