Table 4 Illustration of the effect of log(income) on nine predicted health quantiles
From: A distributional regression approach to income-related inequality of health in Australia
Ï„ | \({\hat {h}^{\tau }(\$20{,}000)}\) | \({\hat {h}^{\tau }(\$80{,}000)}\) | Absolute difference | Relative difference |
|---|---|---|---|---|
a) Smokers | ||||
0.1 | 0.651 [0.637; 0.664] | 0.676 [0.661; 0.688] | 0.025 [0.017; 0.034] | 3.71% [2.47%; 5.04%] |
0.2 | 0.711 [0.697; 0.721] | 0.735 [0.722; 0.746] | 0.025 [0.020; 0.033] | 3.35% [2.70%; 4.46%] |
0.3 | 0.749 [0.738; 0.760] | 0.772 [0.761; 0.784] | 0.023 [0.018; 0.028] | 3.02% [2.28%; 3.64%] |
0.4 | 0.780 [0.770; 0.788] | 0.803 [0.793; 0.810] | 0.022 [0.018; 0.029] | 2.79% [2.21%; 3.58%] |
0.5 | 0.802 [0.794; 0.811] | 0.822 [0.814; 0.831] | 0.021 [0.015; 0.026] | 2.50% [1.78%; 3.15%] |
0.6 | 0.826 [0.818; 0.833] | 0.842 [0.835; 0.849] | 0.016 [0.012; 0.022] | 1.90% [1.42%; 2.59%] |
0.7 | 0.842 [0.835; 0.849] | 0.855 [0.849; 0.862] | 0.013 [0.009; 0.017] | 1.53% [1.06%; 2.01%] |
0.8 | 0.862 [0.855; 0.869] | 0.873 [0.867; 0.880] | 0.011 [0.007; 0.016] | 1.24% [0.82%; 1.84%] |
0.9 | 0.895 [0.886; 0.903] | 0.901 [0.893; 0.908] | 0.006 [0.002; 0.011] | 0.69% [0.18%; 1.26%] |
b) Non-smokers | ||||
0.1 | 0.667 [0.654; 0.678] | 0.693 [0.680; 0.702] | 0.025 [0.016; 0.035] | 3.62% [2.35%; 5.00%] |
0.2 | 0.732 [0.720; 0.740] | 0.756 [0.746; 0.765] | 0.025 [0.020; 0.034] | 3.26% [2.60%; 4.41%] |
0.3 | 0.770 [0.761; 0.778] | 0.793 [0.785; 0.800] | 0.023 [0.018; 0.028] | 2.94% [2.23%; 3.57%] |
0.4 | 0.798 [0.788; 0.805] | 0.820 [0.813; 0.827] | 0.022 [0.018; 0.029] | 2.74% [2.19%; 3.49%] |
0.5 | 0.821 [0.812; 0.827] | 0.841 [0.834; 0.847] | 0.021 [0.015; 0.026] | 2.44% [1.78%; 3.03%] |
0.6 | 0.841 [0.835; 0.846] | 0.857 [0.851; 0.861] | 0.016 [0.012; 0.021] | 1.87% [1.40%; 2.49%] |
0.7 | 0.855 [0.850; 0.862] | 0.869 [0.864; 0.874] | 0.013 [0.009; 0.017] | 1.51% [1.04%; 1.96%] |
0.8 | 0.876 [0.869; 0.880] | 0.886 [0.881; 0.890] | 0.011 [0.007; 0.016] | 1.22% [0.80%; 1.83%] |
0.9 | 0.903 [0.894; 0.909] | 0.909 [0.902; 0.915] | 0.006 [0.002; 0.011] | 0.69% [0.18%; 1.24%] |