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A spatial randomness test based on the box-counting dimension
Advances in statistical analysis : AStA : a journal of the German Statistical Society : Duplicate, marked for deletion ; : 1-26, 2022.
Article in English | EuropePMC | ID: covidwho-1609826
ABSTRACT
Statistical modelling of a spatial point pattern often begins by testing the hypothesis of spatial randomness. Classical tests are based on quadrat counts and distance-based methods. Alternatively, we propose a new statistical test of spatial randomness based on the fractal dimension, calculated through the box-counting method providing an inferential perspective contrary to the more often descriptive use of this method. We also develop a graphical test based on the log–log plot to calculate the box-counting dimension. We evaluate the performance of our methodology by conducting a simulation study and analysing a COVID-19 dataset. The results reinforce the good performance of the method that arises as an alternative to the more classical distances-based strategies.
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Collection: Databases of international organizations Database: EuropePMC Language: English Journal: Advances in statistical analysis : AStA : a journal of the German Statistical Society : Duplicate, marked for deletion Year: 2022 Document Type: Article

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Collection: Databases of international organizations Database: EuropePMC Language: English Journal: Advances in statistical analysis : AStA : a journal of the German Statistical Society : Duplicate, marked for deletion Year: 2022 Document Type: Article