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On the determination of redundancies in sociometric chains

dc.contributor.authorRoss, Ian C.en_US
dc.contributor.authorHarary, Franken_US
dc.date.accessioned2006-09-11T16:21:17Z
dc.date.available2006-09-11T16:21:17Z
dc.date.issued1952-06en_US
dc.identifier.citationRoss, Ian C.; Harary, Frank; (1952). "On the determination of redundancies in sociometric chains." Psychometrika 17(2): 195-208. <http://hdl.handle.net/2027.42/45690>en_US
dc.identifier.issn0033-3123en_US
dc.identifier.issn1860-0980en_US
dc.identifier.urihttps://hdl.handle.net/2027.42/45690
dc.description.abstractThe use of a matrix to represent a relationship between the members of a group is well known in sociometry. If this matrix is raised to a certain power, the elements appearing give the total number of connecting paths between each pair of members. In general, some of these paths will be redundant. Methods of finding the number of such redundant paths have been developed for three- and four-step chains by Luce and Perry (3) and Katz (2), respectively. We have derived formulas for the number of redundant paths of five and six steps; and in addition, an algorithm for determining the number of redundant paths of any given length.en_US
dc.format.extent632427 bytes
dc.format.extent3115 bytes
dc.format.mimetypeapplication/pdf
dc.format.mimetypetext/plain
dc.language.isoen_US
dc.publisherSpringer-Verlag; Psychometric Societyen_US
dc.subject.otherPsychologyen_US
dc.subject.otherStatistics for Social Science, Behavorial Science, Education, Public Policy, and Lawen_US
dc.subject.otherStatistical Theory and Methodsen_US
dc.subject.otherPsychometricsen_US
dc.subject.otherAssessment, Testing and Evaluationen_US
dc.titleOn the determination of redundancies in sociometric chainsen_US
dc.typeArticleen_US
dc.subject.hlbsecondlevelPsychologyen_US
dc.subject.hlbtoplevelSocial Sciencesen_US
dc.description.peerreviewedPeer Revieweden_US
dc.contributor.affiliationumUniversity of Michigan, USAen_US
dc.contributor.affiliationumUniversity of Michigan, USAen_US
dc.contributor.affiliationumcampusAnn Arboren_US
dc.description.bitstreamurlhttp://deepblue.lib.umich.edu/bitstream/2027.42/45690/1/11336_2005_Article_BF02288782.pdfen_US
dc.identifier.doihttp://dx.doi.org/10.1007/BF02288782en_US
dc.identifier.sourcePsychometrikaen_US
dc.owningcollnameInterdisciplinary and Peer-Reviewed


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