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Comparing Rectangular Data Matrices

Author

Listed:
  • L J Hubert

    (Department of Education, University of California at Santa Barbara, Santa Barbara, CA 93106, USA)

  • R G Golledge

    (Department of Geography, University of California at Santa Barbara, Santa Barbara, CA 93106, USA)

Abstract

A procedure is discussed for comparing two rectangular n × m data matrices. The two matrices would typically represent data on the same n objects (for example, cities or subjects) and the same m attributes (for example, crime rates or attitudinal variables). An index that measures the degree to which both matrices are similar is presented along with a significance testing strategy that takes into account the possible dependency among the m attributes. To illustrate the strategy, a numerical example is given that compares the seven index crime rates for a set of twenty standard metropolitan statistical areas for the years 1976 and 1977. In addition to giving several possible generalizations of the basic comparison method, including a natural procedure for comparing three or more data matrices, we show in some detail how the matrix comparison strategy encompasses and extends the work of Tjøtheim on measuring association for spatially related variables.

Suggested Citation

  • L J Hubert & R G Golledge, 1982. "Comparing Rectangular Data Matrices," Environment and Planning A, , vol. 14(8), pages 1087-1095, August.
    • Handle: RePEc:sae:envira:v:14:y:1982:i:8:p:1087-1095
    DOI: 10.1068/a141087
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    Citations

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    Cited by:

    1. Golledge, Reginald G & Zhou, Jack, 1999. "A GPS-based Analysis of Household Travel Behavior," University of California Transportation Center, Working Papers qt3hg1f5nb, University of California Transportation Center.
    2. Lawrence Hubert, 1984. "Statistical applications of linear assignment," Psychometrika, Springer;The Psychometric Society, vol. 49(4), pages 449-473, December.
    3. Zhou, Jack & Golledge, Reginald, 1999. "A GPS-based Analysis Household Travel Behavior," University of California Transportation Center, Working Papers qt3zf8h075, University of California Transportation Center.
    4. Golledge, Reginald G. & Zhou, Jianyu, 2001. "GPS-Based Tracking of Daily Activities," University of California Transportation Center, Working Papers qt9jb438r2, University of California Transportation Center.

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