The moran coefficient and the geary ratio: Some mathematical and numerical comparisons

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Abstract

This chapter discusses relationships between the Moran coefficient (MC) and the Geary ratio (GR) under different distributional assumptions (normal, uniform, beta, and exponential) and selected geographic neighborhood definitions (linear, square rook, hexagon, square queen, maximum planar, maximum hexagon, and a constant number of neighbors). It focuses on comparisons of efficiency and power for the MC and the GR. Its results should inform features of spatial data analysis.

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Luo, Q., Griffith, D. A., & Wu, H. (2017). The moran coefficient and the geary ratio: Some mathematical and numerical comparisons. In Advances in Geographic Information Science (pp. 253–269). Springer Heidelberg. https://doi.org/10.1007/978-3-319-22786-3_23

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