Table 4 Sensitivity analysis by alternative specifications of relative deprivation and income: adjusted HRs (95% CI) for incident functional disability in men: the Aichi Gerontological Evaluation Study (AGES), Aichi, Japan, 2003–2006
Variable specification (relative deprivation/income)
Continuous/continuous (primary analysis)Continuous/quartileQuartile/continuousQuartile/quartile
HR (95% CI)VIFHR (95% CI)VIFHR (95% CI)VIFHR (95% CI)VIF
Relative deprivation defined by education
    Continuous1.15 (1.01 to 1.31)2.661.13 (0.96 to 1.33)4.14
    Quartile 1 (least deprived)ReferenceReference
    Quartile 21.12 (0.78 to 1.59)2.670.96 (0.68 to 1.34)2.39
    Quartile 31.27 (0.83 to 1.93)4.271.10 (0.73 to 1.64)4.06
    Quartile 41.66 (1.02 to 2.72)5.071.55 (0.94 to 2.54)5.66
Absolute income0.98 (0.84 to 1.13)2.69
    Continuous1.01 (0.84 to 1.21)3.95
    Quartile 11.18 (0.70 to 2.00)4.961.06 (0.63 to 1.80)4.77
    Quartile 21.11 (0.78 to 1.57)2.851.08 (0.70 to 1.65)3.83
    Quartile 31.24 (0.96 to 1.60)1.861.29 (0.93 to 1.79)2.87
    Quartile 4 (most affluent)ReferenceReference
Relative deprivation defined by area of residence, sex and age
    Continuous1.13 (0.99 to 1.29)2.701.10 (0.93 to 1.30)4.47
    Quartile 1 (least deprived)ReferenceReference
    Quartile 21.23 (0.88 to 1.71)2.481.13 (0.82 to 1.54)2.20
    Quartile 31.29 (0.89 to 1.87)3.431.20 (0.84 to 1.70)3.15
    Quartile 41.55 (0.99 to 2.42)4.331.34 (0.86 to 2.08)4.59
Absolute income
    Continuous0.95 (0.82 to 1.10)2.590.97 (0.83 to 1.14)3.16
    Quartile 11.33 (0.79 to 2.23)5.081.34 (0.84 to 2.13)3.78
    Quartile 21.17 (0.82 to 1.65)2.821.13 (0.78 to 1.63)3.03
    Quartile 31.29 (1.00 to 1.67)1.821.25 (0.93 to 1.66)2.31
    Quartile 4 (most affluent)ReferenceReference
  • VIF, variance inflation factor; HR, hazard ratio; CI, confidence intervals. HRs of continuous variables are per one standard deviation increase. All models are adjusted for age, marital status, medical care utilisation and education. Two models with the largest and smallest effect sizes of relative deprivation are selected for sensitivity analysis. VIFs higher than 10 are commonly considered to be problematic.