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An Ordering Algorithm for Analysis of Data Arrays

Author

Listed:
  • Stephen B. Deutsch

    (Institute for Defense Analyses, Arlington, Virginia)

  • John J. Martin

    (Office of Science and Technology, Executive Office of the President, Washington, D. C.)

Abstract

This paper presents an algorithm for reordering data arrays. The object is to find a one-dimensional ordering of the rows and columns of an array, given no prior information other than the array itself. The algorithm is an iterative one, and, in finding what it considers to be the most satisfactory ordering of an array, it also enables one to determine immediately the most significant underlying variable. The algorithm has been applied to arrays representing data from a variety of fields; examples are presented of political and archaeological data that have been analyzed, and it is shown that meaningful relations can be found directly through use of the algorithm.

Suggested Citation

  • Stephen B. Deutsch & John J. Martin, 1971. "An Ordering Algorithm for Analysis of Data Arrays," Operations Research, INFORMS, vol. 19(6), pages 1350-1362, October.
    • Handle: RePEc:inm:oropre:v:19:y:1971:i:6:p:1350-1362
    DOI: 10.1287/opre.19.6.1350
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    Cited by:

    1. Hahsler, Michael, 2017. "An experimental comparison of seriation methods for one-mode two-way data," European Journal of Operational Research, Elsevier, vol. 257(1), pages 133-143.
    2. Tatiana Zaslavskaia & Il'Ia Muchnik, 1975. "A linguistic method for the classification of multidimensional social objects," Quality & Quantity: International Journal of Methodology, Springer, vol. 9(3), pages 203-227, September.

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