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Table 3 Five measures on the income-health relationship from fitting a gamma 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)

0.789 [0.786; 0.797]

0.802 [0.800; 0.809]

0.012 [0.008; 0.017]

1.53% [ 1.06%; 2.05%]

σ

0.110 [0.097; 0.115]

0.104 [0.091; 0.107]

0.007 [0.001; 0.013]

6.02% [ 0.85%; 12.14%]

Pavg

0.469 [0.443; 0.485]

0.425 [0.399; 0.436]

0.045 [0.033; 0.062]

9.48% [7.28%; 13.17%]

Pfair

0.188 [0.156; 0.195]

0.154 [0.123; 0.159]

0.033 [0.018; 0.051]

17.73% [10.66%; 27.90%]

Ppoor

0.062 [0.042; 0.068]

0.046 [0.029; 0.050]

0.016 [0.006; 0.026]

25.80% [11.71%; 43.44%]

b) Non-smokers

E(h)

0.801 [0.796; 0.806]

0.813 [0.808; 0.817]

0.012 [0.008; 0.016]

1.43% [0.96%; 1.92%]

σ

0.105 [0.096; 0.114]

0.099 [0.090; 0.107]

0.006 [0.001; 0.013]

6.02% [0.60%; 11.81%]

Pavg

0.426 [0.406; 0.447]

0.382 [0.364; 0.399]

0.044 [0.030; 0.059]

10.38% [7.31%; 13.55%]

Pfair

0.157 [0.138; 0.175]

0.127 [0.109; 0.143]

0.030 [0.014; 0.047]

19.03% [9.45%; 28.44%]

Ppoor

0.048 [0.036; 0.060]

0.035 [0.025; 0.045]

0.013 [0.004; 0.023]

27.38% [8.67%; 43.42%]

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