IDEAS home Printed from https://ideas.repec.org/a/sae/envira/v13y1981i3p309-320.html
   My bibliography  Save this article

Unidimensional Seriation: Implications for Evaluating Criminal Justice Data

Author

Listed:
  • L J Hubert
  • T Kenny
  • R G Golledge
  • G D Richardson

Abstract

The problem of validating a given unidimensional scale (that is, an ordering of a set of objects along a single dimension) is discussed in terms of a few simple properties of the data used to obtain the scale. Based on a set of asymmetric proximity values as raw data, a distinction between analyzing absolute-value information or sign information is presented that leads to a formal test of whether a given scale is being reliably represented. In short, a scale is generated from absolute-value information, but validated through sign information. A numerical example which deals with the perception of homicide rate over fifteen of the largest Standard Metropolitan Statistical Areas is included as an illustration of the general methodological discussion.

Suggested Citation

  • L J Hubert & T Kenny & R G Golledge & G D Richardson, 1981. "Unidimensional Seriation: Implications for Evaluating Criminal Justice Data," Environment and Planning A, , vol. 13(3), pages 309-320, March.
    • Handle: RePEc:sae:envira:v:13:y:1981:i:3:p:309-320
    DOI: 10.1068/a130309
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1068/a130309
    Download Restriction: no
    File URL: https://libkey.io/10.1068/a130309?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Marshall Greenberg, 1965. "A method of successive cumulations for the scaling of pair-comparison preference judgments," Psychometrika, Springer;The Psychometric Society, vol. 30(4), pages 441-448, December.
    2. Louis Guttman, 1968. "A general nonmetric technique for finding the smallest coordinate space for a configuration of points," Psychometrika, Springer;The Psychometric Society, vol. 33(4), pages 469-506, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Samuel Shye, 2010. "The Motivation to Volunteer: A Systemic Quality of Life Theory," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 98(2), pages 183-200, September.
    2. Patrick Groenen & Rudolf Mathar & Willem Heiser, 1995. "The majorization approach to multidimensional scaling for Minkowski distances," Journal of Classification, Springer;The Classification Society, vol. 12(1), pages 3-19, March.
    3. Gupta, Vipin & Hanges, Paul J. & Dorfman, Peter, 2002. "Cultural clusters: methodology and findings," Journal of World Business, Elsevier, vol. 37(1), pages 11-15, April.
    4. Kennon M. Sheldon & Evgeny N. Osin & Tamara O. Gordeeva & Dmitry D. Suchkov & Vlaidslav V. Bobrov & Elena I. Rasskazova & Oleg A. Sychev, 2015. "Evaluating the Dimensionality of the Relative Autonomy Continuum in Us and Russian Samples," HSE Working papers WP BRP 48/PSY/2015, National Research University Higher School of Economics.
    5. Yoshio Takane & Forrest Young & Jan Leeuw, 1977. "Nonmetric individual differences multidimensional scaling: An alternating least squares method with optimal scaling features," Psychometrika, Springer;The Psychometric Society, vol. 42(1), pages 7-67, March.
    6. Jayawickreme, Nuwan & Mootoo, Candace & Fountain, Christine & Rasmussen, Andrew & Jayawickreme, Eranda & Bertuccio, Rebecca F., 2017. "Post-conflict struggles as networks of problems: A network analysis of trauma, daily stressors and psychological distress among Sri Lankan war survivors," Social Science & Medicine, Elsevier, vol. 190(C), pages 119-132.
    7. Emilio Viano, 1973. "The styles of management inventory: A methodological analysis of a training and research instrument," Quality & Quantity: International Journal of Methodology, Springer, vol. 7(1), pages 91-106, March.
    8. Willem Heiser, 1991. "A generalized majorization method for least souares multidimensional scaling of pseudodistances that may be negative," Psychometrika, Springer;The Psychometric Society, vol. 56(1), pages 7-27, March.
    9. George K. Jarvis, 1974. "Establishing Critical Turning-Points in Temporal Variation," Sociological Methods & Research, , vol. 2(4), pages 455-484, May.
    10. Cees H. Elzinga & Matthias Studer, 2019. "Normalization of Distance and Similarity in Sequence Analysis," Sociological Methods & Research, , vol. 48(4), pages 877-904, November.
    11. Mark Groves, 1992. "Beyond spatial representation," Quality & Quantity: International Journal of Methodology, Springer, vol. 26(1), pages 49-59, February.
    12. Ingwer Borg & James Lingoes, 1981. "An alternative approach to confirmatory inference and geometric models," Quality & Quantity: International Journal of Methodology, Springer, vol. 15(6), pages 541-552, December.
    13. Murray C. Clark & Roy L. Payne, 2006. "Character‐Based Determinants of Trust in Leaders," Risk Analysis, John Wiley & Sons, vol. 26(5), pages 1161-1173, October.
    14. Aharon Tziner & Dov Elizur, 1987. "Work values as “reinforcer groupings”," Quality & Quantity: International Journal of Methodology, Springer, vol. 21(4), pages 377-392, December.
    15. Ingwer Borg & James Lingoes, 1978. "What weight should weights have in individual differences scaling?," Quality & Quantity: International Journal of Methodology, Springer, vol. 12(3), pages 223-237, September.
    16. Peter Lenk & Michel Wedel & Ulf Böckenholt, 2006. "Bayesian Estimation of Circumplex Models Subject to Prior Theory Constraints and Scale-Usage Bias," Psychometrika, Springer;The Psychometric Society, vol. 71(1), pages 33-55, March.
    17. Aubrey McKennell, 1974. "Surveying attitude structures: A discussion of principles and procedures," Quality & Quantity: International Journal of Methodology, Springer, vol. 7(2), pages 203-294, September.
    18. Jerzy Grobelny & Rafal Michalski & Gerhard-Wilhelm Weber, 2021. "Modeling human thinking about similarities by neuromatrices in the perspective of fuzzy logic," WORking papers in Management Science (WORMS) WORMS/21/09, Department of Operations Research and Business Intelligence, Wroclaw University of Science and Technology.
    19. Jan Garlicki & Daniel Mider, 2022. "Social Attitudes towards the Phenomenon of Corruption in Poland," European Research Studies Journal, European Research Studies Journal, vol. 0(1), pages 174-183.
    20. Mark Del Aguila & Ensiyeh Ghavampour & Brenda Vale, 2019. "Theory of Place in Public Space," Urban Planning, Cogitatio Press, vol. 4(2), pages 249-259.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:envira:v:13:y:1981:i:3:p:309-320. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.