ArticleAdvances in statistical analysis : AStA : a journal of the German Statistical Society2022
A spatial randomness test based on the box-counting dimension.
Article in Advances in statistical analysis : AStA : a journal of the German Statistical Society, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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3 citing papers in PubMed.
- Investigating the Utility of Fractal Measures as a Diagnostic for Glaucoma.Statistics in medicine · 2026Article
- Fractal dimension as a predictive biomarker for tumor grade and cerebellar mutism syndrome in pediatric posterior fossa tumors.Quantitative imaging in medicine and surgery · 2025Article
- Algorithm for analyzing randomness in point patterns.MethodsX · 2025Article
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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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