spatial rough set-based interaction detector

Usage

srs_interaction_detector(y, x1, x2, wt)

Arguments

y: Dependent variable, factor, character or discrete numeric.
x1: Covariate \(X_1\), factor, character or discrete numeric.
x2: Covariate \(X_2\), factor, character or discrete numeric.
wt: Spatial adjacency matrix.

Value

A list.

Variable1 PD: the average local explanatory power for variable1
Variable2 PD: the average local explanatory power for variable2
Variable1 and Variable2 interact PD: the average local explanatory power for variable1 and variable2 interact
Variable1 SE_PD: the degree of spatial heterogeneity of the local explanatory power for variable1
Variable2 SE_PD: the degree of spatial heterogeneity of the local explanatory power for variable2
Variable1 and Variable2 SE_PD: the degree of spatial heterogeneity of the local explanatory power for variable1 and variable2 interact
Interaction: the interact result type

References

Bai, H., Li, D., Ge, Y., Wang, J., & Cao, F. (2022). Spatial rough set-based geographical detectors for nominal target variables. Information Sciences, 586, 525–539. https://doi.org/10.1016/j.ins.2021.12.019

Author

Wenbo Lv lyu.geosocial@gmail.com

Examples

data('srs_table')
data('srs_wt')
srs_interaction_detector(srs_table$d,srs_table$a1,srs_table$a2,srs_wt)
#> $`Variable1 PD`
#> [1] 0.4595238
#> 
#> $`Variable2 PD`
#> [1] 0.471645
#> 
#> $`Variable1 and Variable2 interact PD`
#> [1] 0.5080087
#> 
#> $`Variable1 SE_PD`
#> [1] 3.282169
#> 
#> $`Variable2 SE_PD`
#> [1] 3.304379
#> 
#> $`Variable1 and Variable2 interact SE_PD`
#> [1] 3.278937
#> 
#> $Interaction
#> [1] "Enhance, bi-"
#>