Abstract
In the previous chapters, we studied the association between two georeferenced sequences from a hypothesis testing perspective. In the following three chapters, we focus on some coefficients of spatial association. These coefficients are not simple modifications of the correlation coefficient, but the underlying idea of its construction relies on the properties of the inner product from which the correlation coefficient was designed.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Anderson, T. W. (2003). An introduction to multivariate statistical analysis. New Jersey: Wiley.
Bivand, R. (1980). A Monte Carlo study of correlation coefficient estimation with spatially autocorrelated observations. Quaestiones Geographicae, 6, 5–10.
Cliff, A. D., & Ord, J. K. (1981). Spatial processes. London: Pion.
Glick, B. J. (1982). A spatial rank-order correlation measure. Geographical Analysis, 14, 177–181.
Fristedt, B., & Gray, L. (1997). A modern approach to probability theory. Boston: Birkhauser.
Hubert, L., & Golledge, R. G. (1982). Measuring association between spatially defined variables: Tjøstheim’s coefficient index and some extensions. Geographical Analysis, 14, 273–278.
Hubert, L., Golledge, R. G., Constanzo, C. M., & Gale, N. (1985). Measuring association between spatially defined variables-An alternative procedure. Geographical Analysis, 17, 36–46.
Kashiwagi, T., Du, F., Winey, K. I., Groth, K. M., Shields, J. R., Bellayer, S. P., et al. (2005). Flammability properties of polymer nanocomposites with single-walled carbon nanotubes: Effects of nanotube dispersion and concentration. Polymer, 46, 471–481.
Lai, D., Sharma, R., Wolinsky, J. S., & Narayana, P. A. (2010). A comparative study of correlation coefficients in spatially MRSI-observed neurochemicals from multiple sclerosis patients. Journal of Applied Statistics, 30, 1221–1229.
Lawson, C. L., Hanson, R. J., Kincaid, D., & Krogh, F. T. (1979). Basic linear algebra subprograms for FORTRAN usage. ACM Transactions on Mathematical Software, 5, 308–323.
Osorio, F., & Vallejos, R. (2020). Tools for assessment the association between two spatial processes. R package version 0.3-819. http://cran.r-project.org/package=SpatialPack.
Ribeiro, P. J, Jr., & Diggle, P. J. (2001). geoR: A package for geostatistical analysis. R-News, 1, 15–18.
Rukhin, A., & Vallejos, R. (2008). Codispersion coefficient for spatial and temporal series. Statistics & Probability Letters, 78, 1290–1300.
Tjøstheim, D. (1978). A measure of association for spatial variables. Biometrika, 56, 109–114.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2020 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Vallejos, R., Osorio, F., Bevilacqua, M. (2020). Tjøstheim’s Coefficient. In: Spatial Relationships Between Two Georeferenced Variables . Springer, Cham. https://doi.org/10.1007/978-3-030-56681-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-030-56681-4_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-56680-7
Online ISBN: 978-3-030-56681-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)