1949/06/01 by R. Duncan Luce, Albert D. Perry · 13 citations
Business, Management and Accounting · Engineering · Mathematics · Psychology · #Optics and Image Analysis #Advanced Research in Systems and Signal Processing #Group (periodic table) #Matrix (chemical analysis) #Mathematics #Group structure #Statistics #Applied mathematics #Algebra over a field #Pure mathematics #Psychology #Materials science #Physics
paper · doi:10.1007/bf02289146
openalex publication_date 1949/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
Matrix methods may be applied to the analysis of experimental data concerning group structure when these data indicate relationships which can be depicted by line diagrams such as sociograms. One may introduce two concepts, n -chain and clique, which have simple relationships to the powers of certain matrices. Using them it is possible to determine the group structure by methods which are both faster and more certain than less systematic methods. This paper describes such a matrix method and applies it to the analysis of practical examples. At several points some unsolved problems in this field are indicated.