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Table 8 Five measures on the income-health relationship from fitting a Weibull distribution to the transformed health variable using GAMLSS regression

From: A distributional regression approach to income-related inequality of health in Australia

 

$20,000

$80,000

Absolute difference

Relative difference

a) Smokers

E(h)

0.791 [0.786; 0.797]

0.803 [0.798; 0.808]

0.012 [0.008; 0.015]

1.44% [ 1.04%; 1.87%]

σ

0.099 [0.093; 0.103]

0.094 [0.089; 0.097]

0.005 [0.001; 0.008]

4.63% [ 1.50%; 8.03%]

P avg

0.499 [0.479; 0.525]

0.453 [0.433; 0.475]

0.046 [0.034; 0.060]

9.20% [ 6.97%; 11.83%]

P fair

0.180 [0.159; 0.194]

0.145 [0.126; 0.156]

0.035 [0.024; 0.049]

19.66% [13.46%; 26.74%]

P poor

0.039 [0.027; 0.046]

0.026 [0.018; 0.031]

0.012 [0.006; 0.019]

32.30% [18.93%; 46.65%]

b) Non-smokers

E(h)

0.802 [0.797; 0.807]

0.813 [0.809; 0.818]

0.011 [0.008; 0.014]

1.35% [ 0.97%; 1.75%]

σ

0.097 [0.093; 0.102]

0.093 [0.088; 0.097]

0.004 [0.001; 0.008]

4.62% [ 1.49%; 8.04%]

P avg

0.453 [0.433; 0.476]

0.408 [0.390; 0.428]

0.045 [0.033; 0.058]

9.89% [ 7.37%; 12.58%]

P fair

0.152 [0.135; 0.168]

0.121 [0.107; 0.135]

0.031 [0.020; 0.043]

20.38% [13.37%; 27.40%]

P poor

0.031 [0.023; 0.039]

0.021 [0.015; 0.027]

0.010 [0.005; 0.016]

32.66% [17.85%; 46.48%]

  1. Note. 95th percentile bootstrap confidence intervals denoted in brackets