TY - JOUR
T1 - Controlling for size in centrality scores
AU - Bonacich, Phillip
AU - Oliver, Amalya
AU - Snijders, Tom A.B.
PY - 1998/4
Y1 - 1998/4
N2 - All measures of centrality in graphs seem to be correlated with degree, the sheer number of connections of a position. There are occasions in which one wants a measure that is not necessarily related to degree but whose relationship to degree is an empirical finding. Existing corrections, which force a lack of correlation, or which have no statistical justification, are inadequate for this purpose. Based on an algorithm developed by Snijders (1991) [Snijders, T.A.B., 1991. Enumeration and simulation methods for 0-1 matrices with given marginals. Psychometrika 56, 397-417.], for generating random graphs with fixed marginals, we suggest a measure of centrality that is logically but not necessarily empirically independent of degree. We examine the measure using data from Davis (1941) [Davis, A., Gardner, B., Gardner, M.R., 1941. Deep South. Univ. of Chicago Press, Chicago.] and Oliver (1993) [Oliver, A., 1993. New Biotechnology Firms: A Multilevel Analysis of Interorganizational Relations in an Emerging Industry. PhD dissertation, Univ. of California, Los Angeles.].
AB - All measures of centrality in graphs seem to be correlated with degree, the sheer number of connections of a position. There are occasions in which one wants a measure that is not necessarily related to degree but whose relationship to degree is an empirical finding. Existing corrections, which force a lack of correlation, or which have no statistical justification, are inadequate for this purpose. Based on an algorithm developed by Snijders (1991) [Snijders, T.A.B., 1991. Enumeration and simulation methods for 0-1 matrices with given marginals. Psychometrika 56, 397-417.], for generating random graphs with fixed marginals, we suggest a measure of centrality that is logically but not necessarily empirically independent of degree. We examine the measure using data from Davis (1941) [Davis, A., Gardner, B., Gardner, M.R., 1941. Deep South. Univ. of Chicago Press, Chicago.] and Oliver (1993) [Oliver, A., 1993. New Biotechnology Firms: A Multilevel Analysis of Interorganizational Relations in an Emerging Industry. PhD dissertation, Univ. of California, Los Angeles.].
UR - http://www.scopus.com/inward/record.url?scp=0007121333&partnerID=8YFLogxK
U2 - 10.1016/S0378-8733(97)00009-9
DO - 10.1016/S0378-8733(97)00009-9
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AN - SCOPUS:0007121333
SN - 0378-8733
VL - 20
SP - 135
EP - 141
JO - Social Networks
JF - Social Networks
IS - 2
ER -