Table 5.

Difference in inequity between pairwise scenario comparisons calculated at different reference values

Comparison	Variance				Absolute Gini				Concentration index
	Direct unfairness		Fairness gap		Direct unfairness		Fairness gap		Direct standardization		Indirect standardization
	min	max	min	max	min	max	min	max	min	max	min	max
All illegitimate
Baseline-Education	0.0039	0.0039	0.0039	0.0039	0.0071	0.0071	0.0071	0.0071
Baseline-Exercise	0.0104	0.0104	0.0104	0.0104	0.0152	0.0152	0.0152	0.0152
Education-Exercise	0.0065	0.0065	0.0065	0.0065	0.0081	0.0081	0.0081	0.0081
Preference/Control
Baseline-Education	0.0029	0.0062	0.0031	0.0038	0.0068	0.0077	0.0050	0.0073
Baseline-Exercise	0.0000	0.0000	0.0063	0.0096	0.0000	0.0101	0.0124	0.0142
Education-Exercise	−0.0062	−0.0029	0.0032	0.0058	−0.0077	−0.0068	0.0056	0.0092
Standardization
Baseline-Education	0.0001	0.0024	−0.0022	0.0017	0.0012	0.0092	−0.0039	0.0074	−0.0167	−0.0027	−0.1025	−0.1025
Baseline-Exercise	0.0001	0.0065	−0.0039	0.0031	0.0021	0.0316	−0.0074	0.0137	−0.0067	−0.0007	−0.0044	−0.0044
Education-Exercise	−0.0006	0.0056	−0.0021	0.0021	−0.0015	0.0277	−0.0054	0.0064	0.0015	0.0144	0.0059	0.0059
SES
Baseline-Education	0.0000	0.0015	0.0001	0.0008	0.0027	0.0167	0.0009	0.0113	−0.0167	−0.0027	−0.0103	−0.0103
Baseline-Exercise	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
Education-Exercise	−0.0015	−0.0000	−0.0008	−0.0001	−0.0167	−0.0027	−0.0113	−0.0009	0.0027	0.0167	0.0103	0.0103

Note: For all ethical stances, the differences in the inequity measures between the two counterfactual situations (in the first column) were calculated for all possible sets of reference values. The table gives the minima and maxima for these differences. If maximum and minimum values of the difference have different sign, this points to a reversal in the inequity ranking of the counterfactual situations induced by the choice of reference values. These cases of rank reversal are indicated in bold.