IDEAS home Printed from https://ideas.repec.org/a/kap/jgeosy/v18y2016i1p87-96.html
   My bibliography  Save this article

A note on the SG(m) test

Author

Listed:
  • Fernando López
  • Mariano Matilla-García
  • Jesús Mur
  • Antonio Páez
  • Manuel Ruiz

Abstract

López et al. (Reg Sci Urban Econ 40(2–3):106–115, 2010 ) introduce a nonparametric test of spatial dependence, called SG(m). The test is claimed to be consistent and asymptotically Chi-square distributed. Elsinger (Reg Sci Urban Econ 43(5):838–840, 2013 ) raises doubts about the two properties. Using a particular counterexample, he shows that the asymptotic distribution of the SG(m) test may be far from the Chi-square family; the property of consistency is also questioned. In this note, the authors want to clarify the properties of the SG(m) test. We argue that the cause of the conflict is in the specification of the symbolization map. The discrepancies can be solved by adjusting some of the definitions made in the original paper. Moreover, we introduce a permutational bootstrapped version of the SG(m) test, which is powerful and robust to the underlying statistical assumptions. This bootstrapped version may be very useful in an applied context. Copyright Springer-Verlag Berlin Heidelberg 2016

Suggested Citation

  • Fernando López & Mariano Matilla-García & Jesús Mur & Antonio Páez & Manuel Ruiz, 2016. "A note on the SG(m) test," Journal of Geographical Systems, Springer, vol. 18(1), pages 87-96, January.
  • Handle: RePEc:kap:jgeosy:v:18:y:2016:i:1:p:87-96
    DOI: 10.1007/s10109-015-0221-7
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s10109-015-0221-7
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s10109-015-0221-7?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
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Manuel Ruiz & Fernando López & Antonio Páez, 2010. "Testing for spatial association of qualitative data using symbolic dynamics," Journal of Geographical Systems, Springer, vol. 12(3), pages 281-309, September.
    2. López, Fernando & Matilla-García, Mariano & Mur, Jesús & Marín, Manuel Ruiz, 2010. "A non-parametric spatial independence test using symbolic entropy," Regional Science and Urban Economics, Elsevier, vol. 40(2-3), pages 106-115, May.
    3. Elsinger, Helmut, 2013. "Comment on: A non-parametric spatial independence test using symbolic entropy," Regional Science and Urban Economics, Elsevier, vol. 43(5), pages 838-840.
    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. Herrera Gómez, Marcos & Ruiz Marín, Manuel & Mur Lacambra, Jesús, 2014. "Testing Spatial Causality in Cross-section Data," MPRA Paper 56678, University Library of Munich, Germany.
    2. Luc Anselin & Xun Li, 2019. "Operational local join count statistics for cluster detection," Journal of Geographical Systems, Springer, vol. 21(2), pages 189-210, June.
    3. Marcos Herrera & Manuel Ruiz & Jesús Mur, 2013. "Detecting Dependence Between Spatial Processes," Spatial Economic Analysis, Taylor & Francis Journals, vol. 8(4), pages 469-497, February.
    4. López-Hernández , Fernando A. & Artal-Tur, Andrés & Maté-Sánchez-Val, M. Luz, 2011. "Identifying nonlinear spatial dependence patterns by using non-parametric tests: Evidence for the European Union," INVESTIGACIONES REGIONALES - Journal of REGIONAL RESEARCH, Asociación Española de Ciencia Regional, issue 21, pages 19-36.
    5. Elsinger, Helmut, 2013. "Comment on: A non-parametric spatial independence test using symbolic entropy," Regional Science and Urban Economics, Elsevier, vol. 43(5), pages 838-840.
    6. Fernando López Hernández, 2021. "In memoriam of Professor Jesús Mur (1961–2020)," Journal of Spatial Econometrics, Springer, vol. 2(1), pages 1-5, December.
    7. Peichao Dai & Ruxu Sheng & Zhongzhen Miao & Zanxu Chen & Yuan Zhou, 2021. "Analysis of Spatial–Temporal Characteristics of Industrial Land Supply Scale in Relation to Industrial Structure in China," Land, MDPI, vol. 10(11), pages 1-18, November.
    8. Richard Harris & John Moffat & Victoria Kravtsova, 2011. "In Search of ‘ W ’," Spatial Economic Analysis, Taylor & Francis Journals, vol. 6(3), pages 249-270, February.
    9. Herrera Gómez, Marcos, 2010. "Causalidad Espacial. Enfoque No Paramétrico [Spatial Causality. Non-Parametric Approach]," MPRA Paper 61326, University Library of Munich, Germany.
    10. Herrera Gómez, Marcos & Ruiz Marín, Manuel & Mur Lacambra, Jesús, 2011. "Detección de Dependencia Espacial mediante Análisis Simbólico [Detection of Spatial Dependence using Symbolic Analysis]," MPRA Paper 38603, University Library of Munich, Germany.
    11. Ross W. Fineman, 2020. "The Shortest Path Isolation Index: A New Measure for Individual-level Residential Segregation," Sociological Methods & Research, , vol. 49(3), pages 742-777, August.
    12. Geniaux, Ghislain & Martinetti, Davide, 2018. "A new method for dealing simultaneously with spatial autocorrelation and spatial heterogeneity in regression models," Regional Science and Urban Economics, Elsevier, vol. 72(C), pages 74-85.
    13. Sensoy, Ahmet & Aras, Guler & Hacihasanoglu, Erk, 2015. "Predictability dynamics of Islamic and conventional equity markets," The North American Journal of Economics and Finance, Elsevier, vol. 31(C), pages 222-248.
    14. Sensoy, Ahmet, 2019. "The inefficiency of Bitcoin revisited: A high-frequency analysis with alternative currencies," Finance Research Letters, Elsevier, vol. 28(C), pages 68-73.
    15. Sensoy, Ahmet & Fabozzi, Frank J. & Eraslan, Veysel, 2017. "Predictability dynamics of emerging sovereign CDS markets," Economics Letters, Elsevier, vol. 161(C), pages 5-9.
    16. Marcos Herrera & Jesús Mur & Manuel Ruiz, 2016. "Detecting causal relationships between spatial processes," Papers in Regional Science, Wiley Blackwell, vol. 95(3), pages 577-594, August.
    17. Herrera Gómez, Marcos & Mur Lacambra, Jesús & Ruiz Marín, Manuel, 2012. "Selecting the Most Adequate Spatial Weighting Matrix:A Study on Criteria," MPRA Paper 73700, University Library of Munich, Germany.
    18. Anthony Jjumba & Suzana Dragićević, 2016. "Spatial indices for measuring three-dimensional patterns in a voxel-based space," Journal of Geographical Systems, Springer, vol. 18(3), pages 183-204, July.
    19. Herrera Gómez, Marcos & Ruiz Marín, Manuel & Mur Lacambra, Jesús & Paelinck, Jean, 2010. "A Non-Parametric Approach to Spatial Causality," MPRA Paper 36768, University Library of Munich, Germany.
    20. Yue Lin & Jinfeng Wang & Chengdong Xu, 2020. "Theoretical and empirical comparative evaluations on measures of map association," Journal of Geographical Systems, Springer, vol. 22(3), pages 361-390, July.

    More about this item

    Keywords

    SG(m) test; Spatial dependence; Nonparametric tests; Symbolic dynamics; Entropy; Bootstrap; C4;
    All these keywords.

    JEL classification:

    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics

    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:kap:jgeosy:v:18:y:2016:i:1:p:87-96. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.