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Table 2 Estimates of income-related health inequality for the CI-based indices under various changes to the health distribution

From: When the technical is also normative: a critical assessment of measuring health inequalities using the concentration index-based indices

Individuals (i) n = 5

Income (dollars)

(1) Baseline life expectancy (LE)

(2) 5% increase in LE

(3) Increase of 5 yrs to LE

(4) Ill-health (assume max LE of 120)

(5) Transfer of LE

1

20,000

59

61.95

64

61

59 + 3 → 62

2

30,000

63

66.15

68

57

63

3

58,000

70

73.50

75

50

70

4

74,000

85

89.25

90

35

85

5

100,000

92

96.60

97

28

92.3 → 89

Mean

56,400

73.80

77.49

78.80

46.20

73.80

Standard CI

 Point estimate

 

0.095

0.095

0.089

 − 0.152

0.082

Generalized CI

 Point estimate

 

7.040

7.392

7.040

 − 7.04

6.080

Extended CI, with inequality aversion = 3

 

0.139

0.139

0.130

 − 0.221

0.119

Symmetric index, with inequality aversion = 3

 

0.103

0.103

0.097

 − 0.165

0.087

Wagstaff index

 Point estimate × assume max LE of 120 yrs

 

0.248

0.269

0.260

 − 0.248

0.214

Erreygers index

 Point estimate × assume max LE of 120 yrs

 

0.235

0.246

0.235

 − 0.235

0.203

  1. The Wagstaff and Erreygers indices can only be used with bounded health variables
  2. Point estimates were calculated using “conindex” STATA package. Numbers rounded to three decimal places