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68. same covariate × transitive triplets (sameXTransTrip), defined by the number of
transitive P
triplets i → h → j ← i that have the same covariate value for i and j,
net
si68 (x) = j xij xih xhj I{vi = vj };
69. different covariate × transitive triplets (diffXTransTrip), defined by the number
of transitive
P triplets i → h → j ← i that have different covariate values for i and j,
snet
(x)
=
i69
j xij xih xhj I{vi 6= vj };
70. indegree popularity from same covariate (sameXInPop) defined by the number of
incoming ties received by those to whom i is tied and sent by others who have the
same covariate
P value
P as i,
snet
(x)
=
x
ij
i70
j
h xhj I{vi = vh };
71. indegree popularity from different covariate (diffXInPop) defined by the number of
incoming ties received by those to whom i is tied and sent by others who have a
different covariate
P
Pvalue than i,
net
si71 (x) = j xij h xhj I{vi 6= vh };
72. outdegree activity to same covariate (sameXOutAct) defined by the squared number
of ties to those
2 the same covariate value as i,
P others who have
x
I{v
=
v
}
;
snet
(x)
=
i
j
i72
j ij
73. outdegree activity to different covariate (diffXOutAct) defined by the squared number of ties to
2 have a different covariate value than i,
Pthose others who
net
si73 (x) =
j xij I{vi 6= vj } ;
74. outdegree activity to homogeneous covariate (homXOutAct) defined by the sum of
outgoing ties weighted by the number of outgoing ties to those with the same covariate value
alter),
P (as P
snet
(x)
=
x
i74
j ij
h xih I{vj = vh };
75. outdegree activity weighted by alter’s covariate (altXOutAct) defined by the squared
sum of ties P
weightedby alter’s covariate values,
2
net
si75 (x) =
j xij vj ;
since the covariate here is used as a weight, this probably makes sense especially for
non-centered covariates;
76. homogeneous covariate × transitive triplets (homXTransTrip), defined by the number of transitive triplets i → h → j ← i that have the same covariate value for i, j,
and h, P
snet
i76 (x) =
j xij xih xhj I{vi = vj = vh };
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