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. 2023 Jan 5;33(1):15–22. doi: 10.2188/jea.JE20210030

Table 3. Estimation results of the probit and recursive bivariate probit models for predicting poor self-rated healtha (N = 1,352,788).

Regression model Probit Bivariate probitb

Dependent variable Poor self-rated health Poor self-rated health Work

  dy/dxc 95% CI dy/dx 95% CI dy/dx 95% CI
Work −0.064 (−0.066, −0.063) −0.067 (−0.072, −0.062)    
Exogenous variables            
 Mandatory retirement         −0.115 (−0.118, −0.112)
 Eligibility of basic pension benefit         −0.092 (−0.095, −0.089)
 Eligibility of wage-proportional pension benefit         −0.064 (−0.067, −0.061)
 Prefecture-level variables            
  Job offers ratiod         0.004 (−0.001, 0.009)
  Primary industryd         0.279 (0.157, 0.402)
  Second industryd         0.618 (0.496, 0.739)
Individual-level covariates            
 Female −0.016 (−0.017, −0.015) −0.017 (−0.019, −0.015) −0.297 (−0.299, −0.296)
 Aged −0.022 (−0.026, −0.017) 0.019 (0.016, 0.021) −0.107 (−0.111, −0.104)
 Age-squared/100d 0.019 (0.015, 0.023) 0.006 (0.003, 0.008) −0.034 (−0.037, −0.031)
 Marital status            
  Unmarried 0.027 (0.024, 0.031) 0.027 (0.023, 0.031) −0.166 (−0.171, −0.162)
  Divorced/separated 0.005 (0.003, 0.008) 0.007 (0.004, 0.009) −0.045 (−0.048, −0.042)
 Household structure            
  Alone 0.010 (0.007, 0.013) 0.009 (0.006, 0.013) 0.109 (0.105, 0.113)
  Wife and husband and an unmarried child(ren) −0.003 (−0.007, −0.013) −0.004 (−0.006, −0.002) 0.053 (0.050, 0.055)
  Single parent and an unmarried child(ren) 0.014 (0.010, 0.018) 0.012 (0.008, 0.017) 0.128 (0.123, 0.134)
  Three-generation 0.002 (0.000, 0.004) 0.002 (0.000, 0.004) 0.077 (0.075, 0.080)
  Other 0.026 (0.024, 0.028) 0.025 (0.023, 0.027) 0.076 (0.073, 0.078)
 Household expenditure and housing            
  Expenditure: 1st quartile (lowest) 0.014 (0.024, 0.028) 0.014 (0.012, 0.016) 0.004 (0.001, 0.006)
  Expenditure: 2nd quartile 0.000 (0.024, 0.028) 0.000 (−0.001, 0.002) −0.011 (−0.013, −0.009)
  Expenditure: 3rd quartile −0.001 (−0.003, 0.028) −0.001 (−0.003, 0.001) −0.018 (−0.020, −0.016)
  Expenditure: unknown/unanswered 0.004 (0.024, 0.028) 0.004 (0.002, 0.007) −0.027 (−0.030, −0.023)
  Having own house −0.039 (−0.041, −0.037) −0.038 (−0.040, 0.036) 0.008 (0.005, 0.010)

CI, confidence interval.

aControlled for exogenous variables, individual-level covariates, and prefecture- and survey year-level fixed effects.

bThe Wald test for the null hypothesis of no correlation between the errors of the two probit models for health and work was rejected (P < 0.001).

cMarginal effect. For a binary explanatory variable, this indicates an expected change in the probability of poor self-rated health in response to a change from 0 to 1 of the explanatory variable.

dContinuous variables (others were binary variables).