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. 2012 Dec 10;7(12):e51717. doi: 10.1371/journal.pone.0051717

Table 4. Decomposition of effect of self-excluded model (3a) and its re-parameterized form (3b).

Model a All effect Decomposition of all effect
Original model (model 3a)
Inline graphic α 1+γ 3 Self effect: α 1
Others effect: γ 3
Re-parameterized model (model 3b)
Inline graphic α 1+γ 3 Individual-like effect: Inline graphic
Compositional-like effect: Inline graphic
a

As 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, Inline graphic = Inline graphic Inline graphic is the mean of social capital scores of all individuals in group j, nj is the size of the group j, and Inline graphic = Inline graphic Inline graphic is the mean of social capital scores of all individuals (excluding individual i) in group j.