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effective_size uses all ties of alters instead of alter-alter ties #20

@mbojan

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@mbojan

Follow-up from #19. Quoting Hanneman&Riddle

Effective size of the network (EffSize) is the number of alters that ego has, minus the average number of ties that each alter has to other alters. Suppose that A has ties to three other actors. Suppose that none of these three has ties to any of the others. The effective size of ego's network is three. Alternatively, suppose that A has ties to three others, and that all of the others are tied to one another. A's network size is three, but the ties are "redundant" because A can reach all three neighbors by reaching any one of them. The average degree of the others in this case is 2 (each alter is tied to two other alters). So, the effective size of the network is its actual size (3), reduced by its redundancy (2), to yield an efficient size of 1.

while effective_size calculates degrees of alters including ties beyond the neighborhood of order 1 of ego.

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