Inducing a blockmodel structure of two-mode binary data using seriation procedures |
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Authors: | Michael Brusco Douglas Steinley |
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Institution: | a Department of Marketing, Florida State University, Tallahassee, FL 32306-1110, USA b University of Missouri-Columbia, USA |
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Abstract: | We show that seriation of the rows and columns of a two-mode, binary matrix can be an effective method for producing a reordering of the matrix that reveals a blockmodel structure of the data. The objective criterion of the seriation process is based on Robinson patterning of matrix elements. The key advantages of the proposed method are: (a) it can be used in conjunction with existing two-mode blockmodeling algorithms by facilitating selection of the number of classes for the rows and columns of the matrix and the appropriate types of ideal blocks; (b) the model uses a well-grounded index based on Robinson structure, (c) guaranteed optimal solutions can be obtained for problems of practical size, and (d) the seriation method is frequently capable of producing a solution that has a substantive interpretation with respect to the orderings of the row objects and column items. |
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Keywords: | Combinatorial data analysis Seriation Robinson matrix Blockmodel Two-mode binary data |
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