Table 10 OLS and quantile regression estimates for quantiles \(\tau _{1} = 0.1, \dots, \tau _{9} = 0.9\) of the health variable
From: A distributional regression approach to income-related inequality of health in Australia
Variable | OLS | Ï„ 1 | Ï„ 2 | Ï„ 3 | Ï„ 4 | Ï„ 5 | Ï„ 6 | Ï„ 7 | Ï„ 8 | Ï„ 9 |
|---|---|---|---|---|---|---|---|---|---|---|
log(Income) | \(\underset {(0.001)}{\hspace {2.3pt}0.012}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.018}^{**}\) | \(\underset {(0.002)}{\hspace {3pt} 0.018}^{**}\) | \(\underset {(0.002)}{\hspace {1.7pt}0.017}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.016}^{**}\) | \(\underset {(0.002)}{\hspace {1.9pt}0.015}^{**}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.012}^{**}\) | \(\underset {(0.001)}{\hspace {1.8pt}0.009}^{**}\) | \(\underset {(0.001)}{\hspace {2.5pt}0.008}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.005}^{**}\) |
Indigenous | \(\underset {\phantom {-}(0.006)}{\hspace {1pt} -0.020}^{**}\) | \(\underset {\phantom {-}(0.011)}{\hspace {1pt} -0.029}^{**}\) | \(\underset {\phantom {-}(0.009)}{-0.027}^{**}\) | \(\underset {\phantom {-}(0.008)}{-0.026}^{**}\) | \(\underset {\phantom {-}(0.009)}{\hspace {1pt} -0.025}^{**}\) | \(\underset {\phantom {-}(0.008)}{-0.022}^{**}\) | \(\underset {\phantom {-}(0.008)}{\hspace {1pt} -0.018}^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.006)}{-0.013}^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.006)\phantom {^{**}}} {\hspace {2pt} -0.004\phantom {^{**}}}\) | \(\underset {\phantom {-}(0.005)\phantom {^{**}}} {\hspace {2.5pt}-0.007\phantom {^{**}}}\) |
Age | \(\underset {\phantom {-}(0.000)}{\hspace {1pt} -0.001 }^{**}\) | \(\underset {\phantom {-}(0.000)}{\hspace {1pt} -0.001}^{**}\) | \(\underset {\phantom {-}(0.000)}{-0.001 }^{**}\) | \(\underset {\phantom {-}(0.000)}{\hspace {.5pt}-0.001 }^{**}\) | \(\underset {\phantom {-}(0.000)}{-0.001 }^{**}\) | \(\underset {\phantom {-}(0.000)}{-0.001 }^{**}\) | \(\underset {\phantom {-}(0.000)}{\hspace {1pt} -0.001 }^{**}\) | \(\underset {\phantom {-}(0.000)}{-0.001 }^{**}\) | \(\underset {\phantom {-}(0.000)}{-0.001 }^{**}\) | \(\underset {\phantom {-}(0.000)}{-0.001 }^{**}\) |
Age squared | \(\underset {(0.000)}{\hspace {2.4pt}0.000}^{**}\) | \(\underset {(0.000)}{\hspace {2pt} 0.000}^{**}\) | \(\underset {(0.000)}{\hspace {2.5pt}0.000}^{**}\) | \(\underset {(0.000)}{\hspace {2.5pt}0.000}^{**}\) | \(\underset {(0.000)}{\hspace {2pt} 0.000}^{**}\) | \(\underset {(0.000)}{\hspace {2pt} 0.000}^{**}\) | \(\underset {(0.000)}{\hspace {2.5pt}0.000}^{**}\) | \(\underset {(0.000)}{\hspace {2pt} 0.000}^{**}\) | \(\underset {(0.000)}{\hspace {2pt} 0.000 }^{**}\) | \(\underset {(0.000)}{\hspace {2.5pt}0.000}^{**}\) |
Children 0-4 | \(\underset {(0.002)}{\hspace {2.5pt}0.017}^{**}\) | \(\underset {(0.003)} {\hspace {2pt} 0.025}^{**}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.026}^{**}\) | \(\underset {(0.003)}{\hspace {2.5pt}0.020}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.017}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.016 }^{**}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.014}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.013}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.013}^{**}\) | \(\underset {(0.001)}{\hspace {2.5pt}0.010}^{**}\) |
Children 5-14 | \(\underset {(0.001)}{\hspace {2.2pt}0.005}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.006}^{*\phantom {*}}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.007}^{**}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.007}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.006}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.005}^{**}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.005}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.006}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.005}^{**}\) | \(\underset {(0.001)}{\hspace {2.5pt}0.003}^{*\phantom {*}}\) |
Managers & professionals | \(\underset {\hspace {-3.5pt}(0.002)\phantom {^{**}}}{0.004\phantom {^{**}}}\) | \(\underset {(0.004)\phantom {^{**}}}{\hspace {3.5pt}0.004\phantom {^{**}}}\) | \(\underset {\hspace {-3.5pt}(0.004)\phantom {^{**}}}{0.002\phantom {^{**}}}\) | \(\underset {(0.003)\phantom {^{**}}} {\hspace {2.5pt}0.005\phantom {^{**}}}\) | \(\underset {(0.003)\phantom {^{**}}}{\hspace {3pt} 0.004\phantom {^{**}}}\) | \(\underset {(0.002)\phantom {^{**}}}{\hspace {3pt} 0.003\phantom {^{**}}}\) | \(\underset {(0.002)\phantom {^{**}}}{\hspace {3.5pt}0.002\phantom {^{**}}}\) | \(\underset {(0.002)\phantom {^{**}}}{\hspace {2.5pt}0.004\phantom {^{**}}}\) | \(\underset {(0.002)}{\hspace {2pt} 0.004}^{*\phantom {^{*}}}\) | \(\underset {(0.002)\phantom {^{**}}}{\hspace {2.5pt}0.001\phantom {^{**}}}\) |
Manual workers | \(\underset {\phantom {-}(0.003)}{-0.008}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.022}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.017}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.014}^{**}\) | \(\underset {\phantom {-}(0.004)} {-0.009}^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.003)}{-0.005}^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.003)}{-0.006}^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.002)}{-0.005}^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.003)\phantom {^{**}}}{\hspace {2pt} -0.003\phantom {^{**}}}\) | \(\underset {\phantom {-}(0.003)\phantom {^{**}}}{\hspace {2.5pt}-0.003\phantom {^{**}}}\) |
Unemployed | \(\underset {\phantom {-}(0.005)}{-0.032}^{**}\) | \(\underset {\phantom {-}(0.010)}{-0.043}^{**}\) | \(\underset {\phantom {-}(0.008)}{-0.039}^{**}\) | \(\underset {\phantom {-}(0.006)}{-0.039}^{**}\) | \(\underset {\phantom {-}(0.006)}{-0.038}^{**}\) | \(\underset {\phantom {-}(0.006)}{-0.031}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.029}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.023}^{**}\) | \(\underset {\phantom {-}(0.007)}{-0.015}^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.005)}{-0.014}^{**}\) |
Not in labour force | \(\underset {\phantom {-}(0.003)}{-0.047}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.059}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.060}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.061}^{**}\) | \(\underset {\phantom {-}(0.004)} {-0.055}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.045}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.040}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.032}^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.027}^{**}\) | \(\underset {\phantom {-}(0.002)} {-0.023}^{**}\) |
Smoking | \(\underset {\phantom {-}(0.002)}{-0.017}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.016}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.021}^{**}\) | \(\underset {\phantom {-}(0.004)}{\hspace {.5pt}-0.021}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.017}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.019}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.015}^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.013}^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.013}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.008}^{**}\) |
Very good sleep quality | \(\underset {(0.002)}{\hspace {2.5pt}0.028}^{**}\) | \(\underset {(0.004)}{\hspace {2pt} 0.040}^{**}\) | \(\underset {(0.004)}{\hspace {2.5pt}0.038}^{**}\) | \(\underset {(0.003)}{\hspace {2.5pt}0.034}^{**}\) | \(\underset {(0.003)}{\hspace {2pt} 0.029}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.024}^{**}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.021}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.021}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.020}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.020}^{**}\) |
Fairly bad sleep quality | \(\underset {\phantom {-}(0.002)}{\hspace {1pt} -0.039 }^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.040}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.049 }^{**}\) | \(\underset {\phantom {-}(0.003)}{\hspace {.5pt}-0.052}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.051}^{**}\) | \(\underset {\phantom {-}(0.003)} { -0.046 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.041}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.032 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.026}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.023}^{**}\) |
Very bad sleep quality | \(\underset {\phantom {-}(0.005)}{\hspace {1pt} -0.084 }^{**}\) | \(\underset {\phantom {-}(0.009)}{-0.092}^{**}\) | \(\underset {\phantom {-}(0.006)}{-0.089 }^{**}\) | \(\underset {\phantom {-}(0.007)}{-0.082}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.092}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.096 }^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.102}^{**}\) | \(\underset {\phantom {-}(0.007)}{-0.102 }^{**}\) | \(\underset {\phantom {-}(0.010)}{-0.068}^{**}\) | \(\underset {\phantom {-}(0.006)}{-0.052}^{**}\) |
Not reported | \(\underset {\phantom {-}(0.009)}{-0.046}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.076}^{**}\) | \(\underset {\phantom {-}(0.017)}{-0.079 }^{**}\) | \(\underset {\phantom {-}(0.017)}{-0.080 }^{**}\) | \(\underset {\phantom {-}(0.018)}{-0.055}^{**}\) | \(\underset {\phantom {-}(0.018)}{-0.047}^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.009)}{-0.029 }^{**}\) | \(\underset {\phantom {-}(0.009)}{-0.026 }^{**}\) | \(\underset {\phantom {-}(0.010)}{-0.021}^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.005)}{-0.014}^{**}\) |
Almost always stressed | \(\underset {\phantom {-}(0.003)}{\hspace {1pt} -0.036 }^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.045}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.042}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.042}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.041}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.038 }^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.034}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.029}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.028 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.023}^{**}\) |
Often stressed | \(\underset {\phantom {-}(0.002)}{\hspace {1pt} -0.020 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.027 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.026}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.027}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.025}^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.020}^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.017 }^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.014 }^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.014 }^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.012}^{**}\) |
Rarely stressed | \(\underset {(0.002)}{\hspace {2.5pt}0.024}^{**}\) | \(\underset {(0.004)}{\hspace {2pt} 0.018}^{**}\) | \(\underset {(0.004)}{\hspace {2.5pt}0.024}^{**}\) | \(\underset {(0.003)}{\hspace {2.5pt}0.025}^{**}\) | \(\underset {(0.003)}{\hspace {2.5pt}0.027}^{**}\) | \(\underset {(0.003)}{\hspace {2pt} 0.027}^{**}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.026}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.024}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.021}^{**}\) | \(\underset {(0.002)}{0.019}^{**}\) |
Never stressed | \(\underset {(0.006)}{\hspace {2.5pt}0.043}^{**}\) | \(\underset {(0.010)}{\hspace {2pt} 0.037}^{**}\) | \(\underset {(0.009)}{\hspace {2.5pt}0.037}^{**}\) | \(\underset {(0.007)}{\hspace {2.5pt}0.038}^{**}\) | \(\underset {(0.008)}{\hspace {2pt} 0.034}^{**}\) | \(\underset {(0.009)}{\hspace {2pt} 0.046}^{**}\) | \(\underset {(0.005)}{\hspace {2.5pt}0.053}^{**}\) | \(\underset {(0.005)}{\hspace {2.5pt}0.053}^{**}\) | \(\underset {(0.008)}{\hspace {2pt} 0.056}^{**}\) | \(\underset {(0.008)}{\hspace {2pt} 0.058}^{**}\) |
Life satisfaction | \(\underset {(0.001)}{\hspace {2.5pt}0.022}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.020}^{**}\) | \(\underset {(0.001)}{\hspace {2.5pt}0.024}^{**}\) | \(\underset {(0.001)}{\hspace {2.5pt}0.023}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.023}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.023}^{**}\) | \(\underset {(0.001)}{\hspace {2.5pt}0.023}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.022}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.019}^{**}\) | \(\underset {(0.001)}{\hspace {2pt} 0.016}^{**}\) |
Very satisfied with weight | \(\underset {(0.003)}{\hspace {2.5pt}0.016}^{**}\) | \(\underset {(0.006)}{\hspace {2pt} 0.019}^{**}\) | \(\underset {(0.006)}{\hspace {2.5pt}0.017}^{**}\) | \(\underset {(0.004)}{\hspace {2.5pt}0.018}^{**}\) | \(\underset {(0.004)}{\hspace {2pt} 0.014}^{**}\) | \(\underset {(0.003)}{\hspace {2pt} 0.012}^{**}\) | \(\underset {(0.003)}{\hspace {2.5pt}0.013}^{**}\) | \(\underset {(0.003)}{\hspace {2pt} 0.014}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.012}^{**}\) | \(\underset {(0.002)}{\hspace {2pt} 0.016}^{**}\) |
Satisfied with weight | \(\underset {(0.002)}{\hspace {2.5pt}0.006}^{*\phantom {*}}\) | \(\underset {(0.004)\phantom {^{**}}}{\hspace {3pt} 0.006\phantom {^{**}}}\) | \(\underset {(0.004)\phantom {^{**}}}{\hspace {2.5pt}0.002\phantom {^{**}}}\) | \(\underset {(0.003)\phantom {^{**}}}{\hspace {3.5pt}0.005\phantom {^{**}} }\) | \(\underset {(0.003)\phantom {^{**}}} {\hspace {3pt} 0.005\phantom {^{**}}}\) | \(\underset {(0.003)\phantom {^{**}}}{\hspace {3pt} 0.005\phantom {^{**}}}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.005 }^{*\phantom {*}}\) | \(\underset {(0.002)}{\hspace {2.5pt}0.006}^{**}\) | \(\underset {(0.002)}{0.005}^{*\phantom {*}}\) | \(\underset {(0.002)} {0.005}^{*\phantom {*}}\) |
Dissatisfied with weight | \(\underset {\phantom {-}(0.002)}{\hspace {1pt} -0.007}^{**}\) | \(\underset {\phantom {-}(0.004)\phantom {^{**}}}{\hspace {2pt} -0.005\phantom {^{**}}}\) | \(\underset {\phantom {-}(0.004)}{-0.010 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.012 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.010 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.011 }^{**}\) | \(\underset {\phantom {-}(0.002)}{\hspace {1pt} -0.008 }^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.005 }^{*\phantom {*}}\) | \(\underset {\phantom {-}(0.002)}{-0.006 }^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.009}^{**}\) |
Very dissatisfied with weight | \(\underset {\phantom {-}(0.003)}{\hspace {1pt} -0.036}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.038 }^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.043 }^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.045 }^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.045}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.045}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.036}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.032}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.027 }^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.026 }^{**}\) |
No physical activity | \(\underset {\phantom {-}(0.003)}{\hspace {1pt} -0.059}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.062 }^{**}\) | \(\underset {\phantom {-}(0.004)} {-0.066}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.067}^{**}\) | \(\underset {\phantom {-}(0.004)} {-0.069}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.069}^{**}\) | \(\underset {\phantom {-}(0.005)}{-0.061}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.050}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.042}^{**}\) | \(\underset {\phantom {-}(0.004)}{-0.034}^{**}\) |
Some physical activity | \(\underset {\phantom {-}(0.002)}{-0.020 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.017 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.023 }^{**}\) | \(\underset {\phantom {-}(0.003)}{-0.023}^{**}\) | \(\underset {\phantom {-}(0.002)} {-0.022}^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.020}^{**}\) | \(\underset {\phantom {-}(0.002)}{\hspace {1pt} -0.017}^{**}\) | \(\underset {\phantom {-}(0.002)}{\hspace {.7pt}-0.017}^{**}\) | \(\underset {\phantom {-}(0.002)} {-0.015}^{**}\) | \(\underset {\phantom {-}(0.002)}{-0.015}^{**}\) |
Constant | \(\underset {(0.008)}{\hspace {2.5pt}0.632}^{**}\) | \(\underset {(0.013)}{\hspace {2pt} 0.485 }^{**}\) | \(\underset {(0.012)}{\hspace {2.5pt}0.520 }^{**}\) | \(\underset {(0.012)}{\hspace {2.5pt}0.568 }^{**}\) | \(\underset {(0.010)}{\hspace {2.5pt}0.604}^{**}\) | \(\underset {(0.011)}{\hspace {2pt} 0.629 }^{**}\) | \(\underset {(0.009)} {\hspace {2.5pt}0.659 }^{**}\) | \(\underset {(0.009)}{\hspace {2pt} 0.691}^{**}\) | \(\underset {(0.009)}{\hspace {2pt} 0.735 }^{**}\) | \(\underset {(0.008)}{\hspace {2pt} 0.800}^{**}\) |
R2 (Pseudo R2) | 0.365 | 0.211 | 0.234 | 0.251 | 0.244 | 0.222 | 0.195 | 0.161 | 0.154 | 0.119 |