Two-way layout factorial experiments of spatial point pattern responses in mineral flotation

• Jonatan A. González ^[2] ; Bernardo M. Lagos-Álvarez ^[1] ; Jorge Mateu ^[2]
  1. [1] Universidad de Concepción

     Universidad de Concepción

     Comuna de Concepción, Chile

     
  2. [2] Department of Mathematics, University Jaume I, Castellón, Spain
• Localización: Test: An Official Journal of the Spanish Society of Statistics and Operations Research, ISSN-e 1863-8260, ISSN 1133-0686, Vol. 30, Nº. 4, 2021, págs. 1026-1045
• Idioma: inglés
• DOI: 10.1007/s11749-021-00768-w
• Texto completo no disponible (Saber más ...)
• Resumen

  • Factorial experiments are well-understood when the given observations are outcomes of random variables. However, when we observe spatial point patterns in each combination of factors cells, the methodology is much less developed. Motivated by a real problem of locations of bubbles in a mineral flotation experiment where the interest is analysing if the spatial distribution might be affected by frother concentrations and volumetric airflow rates, we develop an approach for statistical testing of two-way factorial experiments for spatial point patterns. We describe the point patterns through the K-function, a second-order summary statistic, and develop a set of new Fisher-based statistics using weighted means. For inference by Monte Carlo, we use random permutations of weighted residuals depending on the null hypothesis. We conduct simulation experiments to demonstrate the performance of the new test statistics and present the results of the real problem.