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Table 1 Homogeneity Index guidelines for acceptance/rejection of proposed region defined by socioeconomic decile distribution

From: A framework for the identification and classification of homogeneous socioeconomic areas in the analysis of health care variation

Class Homogeneity Index (HI) guidelines for acceptance/rejection of proposed region defined by socioeconomic decile distribution P10
Equally populated deciles specification Range Decision support system
A \(HI\left( 4 \right) \le HI\left( {P_{10} } \right) \le HI\left( 1 \right)\) \(68.53 \le HI\left( {P_{10} } \right) \le 100\) Proposed region is acceptably homogeneous
B \(HI\left( 5 \right) \le HI\left( {P_{10} } \right) < HI\left( 4 \right)\) \(57.62 \le HI\left( {P_{10} } \right) < 68.53\) Marginal heterogeneity—reassignment of some units may be beneficial
C \(HI\left( 6 \right) \le HI\left( {P_{10} } \right) < HI\left( 5 \right)\) \(46.62 \le HI\left( {P_{10} } \right) < 57.62\) Judgement required whether to accept homogeneous region or to reassign units to other regions to improve homogeneity of current grouping units
D \(HI\left( {10} \right) \le HI\left( {P_{10} } \right) < HI\left( 6 \right)\) \(0 \le HI\left( {P_{10} } \right) < 46.62\) Proposed region is heterogeneous—reassignment of some units is needed
  1. HI(s): HI’s value of s equally populated deciles, s = 1, 4, 5, 6, 10