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. 2020 Jul 31;29(10):1251–1269. doi: 10.1002/hec.4134

TABLE 7.

Effect of covariates on health care utilization and moral hazard of having a voluntary deductible: parametric polynomial specification

Variable (1) (2) (3) (4) (5) (6) (7) (8)
Specialist visits GP visits Mental health care visits Days in the hospital
β 0 (β 1β 0) β 0 (β 1β 0) β 0 (β 1β 0) β 0 (β 1β 0)
Risk aversion −0.009 (0.023) −0.028 (0.144) −0.012 (0.017) 0.039 (0.083) 0.090 (0.057) −0.221 (0.218) 0.099 * (0.059) −0.519 (0.444)
Male 0.003 (0.053) −0.383 (0.349) −0.159 *** (0.049) 0.155 (0.251) 0.147 (0.132) −0.973 * (0.549) 0.218 * (0.129) −1.404 (0.870)
Age −0.006 (0.011) −0.018 (0.086) 0.000 (0.008) −0.008 (0.044) 0.002 (0.020) 0.144 (0.115) −0.030 (0.020) 0.239 (0.167)
Age2 0.000 (0.000) 0.000 (0.001) 0.000 (0.000) 0.000 (0.000) −0.000 (0.000) −0.001 (0.001) 0.000 ** (0.000) −0.003 (0.002)
Employed −0.037 (0.098) 0.033 (0.578) −0.002 (0.069) −0.271 (0.404) 0.273 (0.189) −1.657 * (0.856) −0.528 ** (0.227) 1.103 (1.928)
Educ.mid −0.002 (0.091) −0.839 (0.637) −0.009 (0.049) −0.289 (0.353) −0.345 ** (0.153) 1.506 ** (0.737) −0.082 (0.136) −0.542 (1.089)
Educ.high −0.020 (0.107) −0.244 (0.721) 0.054 (0.086) −0.532 (0.445) −0.043 (0.179) 1.021 (0.850) −0.481 *** (0.173) 1.454 (1.173)
Married 0.037 (0.080) −0.356 (0.498) −0.085 (0.056) 0.373 (0.302) −0.264 (0.199) 1.603 * (0.862) −0.234 (0.170) 0.701 (1.068)
Good health −0.188 ** (0.079) 0.330 (0.436) −0.174 *** (0.065) 0.267 (0.273) −0.727 *** (0.209) 2.707 *** (0.864) −0.115 (0.171) 0.279 (0.986)
MHI5 −0.009 *** (0.002) 0.030 * (0.016) −0.005 *** (0.001) −0.014 * (0.008) −0.017 *** (0.004) 0.046 ** (0.020) −0.002 (0.005) −0.003 (0.031)
Chronic cond. 0.292 *** (0.081) −0.633 (0.642) 0.240 *** (0.071) −0.581 (0.401) −0.152 (0.174) 0.493 (0.861) 0.424 *** (0.165) −1.028 (1.322)
Smokes −0.149 * (0.080) 1.258 ** (0.498) −0.092 (0.062) 0.328 (0.320) −0.006 (0.196) 0.511 (0.736) 0.176 (0.110) −1.121 (0.793)
Log income −0.108 (0.069) 0.280 (0.409) −0.108 ** (0.049) 0.215 (0.243) −0.084 (0.201) −0.267 (0.821) 0.200 (0.188) −0.970 (1.323)
p1 −3.270 (5.505) −3.672 (3.302) −4.966 (8.993) 15.872 (16.275)
p2 −1.659 (14.487) 8.507 (10.019) 1.911 (11.305) −32.470 (37.379)
p3 −4.607 (18.431) −8.703 (12.295) −2.450 (10.606) 22.289 (49.657)
Joint test p1 p2 p3, p value 0.4001 0.7363 0.8568 0.4712
Joint test (β 1− β 0 ), p value 0.1116 0.1975 0.0000 0.6611
E(Y1‐Y0)@X −6.649 (8.063) −3.343 (4.855) −1.445 (3.409) 0.075 (21.823)
Constant 2.532 *** (0.714) 2.353 *** (0.473) 3.340 ** (1.703) −1.136 (2.040)
Observations 5,712 5,712 9,783 9,783 856 856 1,506 1,506

Note: The generalized Roy model is fit in two stages: a first‐stage probit regression to obtain the propensity score p, followed by a linear regression of log‐health care utilization measure on a constant, covariates, and their interactions with p, and the polynomial terms of p (p1, p2, and p3). Bootstrapped standard errors clustered at the household level are presented in parentheses. The specifications include wave dummies.

***

p < 0.01.

**

p < 0.05.

*

p < 0.1.