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Table 1 Two schemes to distinguish mutual difference and equivalence test results in choropleth maps.

From: Combining difference and equivalence test results in spatial maps

Equivalence test result Difference test result Six combined scenarios Four combined scenarios
E 3 D -1 equivalent and significantly smaller equivalent (that is, result of difference test does not matter)
E3, E6, E8 D 0 equivalent and not significantly different  
E 8 D +1 equivalent and significantly larger  
E1, E2 D -1 not equivalent and significantly smaller not equivalent and significantly smaller
E1, E2, E4, E5, E7, E9, E10 D 0 not equivalent and not significantly different not equivalent and not significantly different
E9, E10 D +1 not equivalent and significantly larger not equivalent and significantly larger
  1. Note: The first scheme (column "6 combined scenarios") combines the three difference test results with the two main results of the equivalence test. The second scheme (column "4 combined scenarios") is a simplified alternative to the former. All significantly equivalent results are considered as one category, irrespectively of the result of the difference test. The difference test result only matters then in the case of a not equivalent result.