4.1 Empirical Estimations and Discussions
This sub-section analyses the empirical results to examine the gender-health gap, the health effects of financial inclusion and the role that financial inclusion plays in the gender-health gap in Ghana. Table 3 presents the results of the Probit, IV-Probit, OLS, and 2SLS-IV regressions that use micro-level data from the sixth round of the Ghana living standards survey (GLSS), accounting for the respective households’ income level, household size, type of main cooking and lighting fuel and location, as well as the individuals’ age, education level, marital status, and employment status. To gradually build the health model, we begin by assessing the gender-health and the health effects of financial inclusion; columns (1), (3), (5), and (7) are estimated using the financial inclusion variables together with the individual and household characteristics as specified in Eq. (2). Finally, in columns (2), (4), (6), and (8), we incorporate the role financial inclusion may play in the gender-health gap by estimating the full model with the interaction term, Eq. (3). All regressions are corrected for robust clustered standard errors, controlled for district effects.
Table 3
Estimates of Equations (1) and (2) using Probit, OLS, IV-Probit and 2SLS instrumental variables (IV)
Dependent Variable: Health Status (healthy = 1, illness = 0)
|
|
Probit (dy/dx)
|
IV-Probit (dy/dx)
|
OLS
|
2SLS-IV
|
Independent Variables
|
(1)
|
(2)
|
(3)
|
(4)
|
(5)
|
(6)
|
(7)
|
(8)
|
Female
|
-0.055***
|
-0.0467***
|
-0.064***
|
-0.1040***
|
-0.0540***
|
-0.0461***
|
-0.0631***
|
-0.135***
|
|
(0.00482)
|
(0.00593)
|
(0.006)
|
(0.049)
|
(0.00480)
|
(0.00593)
|
(0.00626)
|
(0.0496)
|
Fin. Inclusion index
|
-0.00179
|
0.0301
|
1.357***
|
1.215***
|
-0.00387
|
0.0236
|
1.335***
|
1.141***
|
|
(0.0123)
|
(0.0183)
|
(0.314)
|
(0.346)
|
(0.0123)
|
(0.0154)
|
(0.307)
|
(0.316)
|
Female*F. Inclusion
|
|
-0.266**(c)
|
|
0.855(c)
|
|
-0.0550**
|
|
0.500
|
|
|
(0.113)
|
|
(1.017)
|
|
(0.0241)
|
|
(0.339)
|
Under identification test
|
|
|
|
|
|
|
59.023(0.000)
|
59.125(0.000)
|
Hansen J (overid)
|
|
|
|
|
|
|
1.441(0.2300)
|
1.495(0.4736)
|
Endogeneity test
|
|
|
|
|
|
|
28.133(0.000)
|
30.083(0.000)
|
F-stat
|
|
|
|
|
|
|
29.842
|
14.979
|
District Effect
|
Yes
|
Yes
|
Yes
|
Yes
|
Yes
|
Yes
|
Yes
|
Yes
|
Other controls
|
Yes
|
Yes
|
Yes
|
Yes
|
Yes
|
Yes
|
Yes
|
Yes
|
Observations
|
22,606
|
22,606
|
22,606
|
22,606
|
22,606
|
22,606
|
22,606
|
22,606
|
R-squared
|
|
|
|
|
0.034
|
0.034
|
-0.464
|
-0.528
|
Wald test of exogeneity
|
|
|
32.18(0.000)
|
43.33(0.000)
|
|
|
|
|
Robust standard errors in parentheses, *** p < 0.01, ** p < 0.05, * p < 0.1. For the under-identification, Hansen J. (overidentification) and endogeneity tests, we report the test values with p-values in parenthesis. Also, For the exogeneity tests, we reported the chi sqr. test values with p-values in parenthesis. Complete estimates are provided in Appendix I (OLS and 2SLS_IV) and II (Probit and IV-Probit).
(c) means coefficient is reported rather than marginal effects.
|
While our Probit and OLS estimates may be economically meaningful, the issue of potential endogeneity bias remains. To improve the estimates and account for any potential endogeneity, the IV-Probit and 2SLS-IV regressions are presented in columns (3), (4), (7), and (8) of Table 3. The choice of instruments is supported by the corresponding tests, particularly for the 2SLS-IV, the F-statistics on the test for weak identification of the endogenous regressors (Fin. Inclusion index and Female*Fin. Inclusion) are reported as 29.842 (column 7) and 14.979 (column 8), for equations (2) and (3), respectively. These values exceed the Stock-Yogo (2005) critical values indicating that the endogenous regressors are strongly identified. Furthermore, the test statistics of under-identification and over-identification (Hansen J.), reported at the bottom of Table 3 columns 7 and 8, suggest that the instruments are relevant and the overidentifying restrictions are exogenous, respectively. Thus, the chosen instruments are well-identified. Finally, the endogeneity test rejects the null hypothesis of exogeneity, thus supporting the use of instrumental variables. As a result, the instrumental variable estimates (IV-Probit and 2SLS-IV) are our preferred estimates, as the results account for potential endogeneity and allow us to identify the causal effect of financial inclusion on health. In particular, we rely on the IV-probit while the 2SLS results serve as robustness check and also help with the interpretation of the interaction terms.
The results from Table 3 confirmed the health difference across gender. In line with the findings and arguments in the literature, including that of Verbrugge (1989), Malmusi et al. (2012) and Zhang, d’Uva and Doorslaer (2015) in America, Spain, and China respectively, the coefficient of the gender dummy (Female) is negative and statistically significant at the conventional levels across all regressions in Tables 3. In each case, it indicates that females, on average, are likely to report being ill compared to their male counterparts. Referring to the Probit estimates in column (1), the results suggest that females are about 0.06 percent less likely to report being healthy (not report illness) than males. The probable health difference became more pronounced after accounting for endogeneity in column (3), indicating corrections made to the bias of the Probit estimator. Based on the IV-probit estimates in column (3), females are found to be about 0.06 percent less likely to report being healthy than their male counterparts, all else equal. This finding aligns with our expectations and is consistent with the existing literature. Next, we analyse the health effect of financial inclusion. In line with the argument of previous literature (Sarma and Pais, 2011; Koomson and Ibrahim, 2018; Njiru and Letema, 2018; Li, 2018; Gyasi et al., 2019; Stein and Yannelis, 2019; Inoue, 2019; Matekenya et al., 2020), the results of the IV estimates (IV-probit and 2SLS-IV) show (at 1% significance level) that people who have higher level of financial inclusion are healthier than their counterparts who are less included. Here, the insignificance of the Probit and OLS results may be indicative of their anticipated bias. Referring to the IV-Probit estimates in column (3), people with higher levels of financial inclusion are about 1.14 percent more likely to be healthy than their counterparts with low financial inclusion, all else equal. This finding is intuitive since higher levels of financial inclusion may be associated with higher investment in health.
Finally, the results indicate that financial inclusion may play a role in the gender-health gap, in the sense that a higher level of financial inclusion can potentially reduce the health gap across gender. Specifically, in the IV-probit and 2SLS-IV estimates (columns 4 and 8), although the coefficients of the female dummy indicates that males with a lower level of financial inclusion are about 0.10 percent (column 4) less likely to report being healthy compared to their counterparts with a higher level of financial inclusion, the coefficients of the interaction term ‘Female*F. Inclusion’ are positive but statistically insignificant, indicating no significant health difference across gender for people with higher levels of financial inclusion. Similar estimates are reported for the OLS and 2SLS-IV on all the hypotheses.
As a robustness check of the health effects of financial inclusion across gender, we provided estimates for gender sub-samples in Table 4 (complete estimates of both Probit and Least Squares are found in Appendices III and IV). Relying on the IV-estimates, these sub-sample estimates provided results that are consistent with that of Table 3. The coefficients remain positive and significant, suggesting that, in both sub-samples, people with a higher level of financial inclusion are more likely to be healthy than their counterparts with lower level. For the female sub-sample, in column (1) those with higher level of financial inclusion are about 2.28 percent more likely to be healthy, while in column (3), those with a higher level of financial inclusion are about 0.82 percent more likely to be healthy for the male sub-sample. It should be noted that a comparison of the coefficients across the two sub-samples does not suggest statistically significant gender differences in the magnitude of the estimated effects. The z values3 provided in Table 4 were all below 1.96, thus, failing to reject the null hypothesis that \({\beta }_{Female}={\beta }_{Male}\), and one cannot conclude that financial inclusion affects females differently than males.
Table 4
Estimates of Equations (1) and (2) using 2SLS-IV for gender Sub-Samples
Dependent Variable: Health Status (healthy = 1, illness = 0)
|
|
Female sub-sample
|
Male sub-sample
|
\({\beta }_{Female}={\beta }_{Male}\)
|
Independent Variables
|
(1)
|
(2)
|
(3)
|
(4)
|
Z values
|
|
IV-Probit
|
2SLS-IV
|
IV-Probit
|
2SLS-IV
|
IV-Probit
|
2SLS-IV
|
|
(dy/dx)
|
|
(dy/dx)
|
|
|
|
Fin. Inclusion
|
2.278***
|
2.263***
|
0.817***
|
0.843***
|
1.946
|
1.942
|
|
(0.687)
|
(0.662)
|
(0.303)
|
(0.310)
|
|
|
Under identification test
|
|
22.677(0.00)
|
|
41.244(0.00)
|
|
|
Hansen J (overid)
|
|
0.392(0.531)
|
|
0.217(0.641)
|
|
|
Endogeneity test
|
|
24.779(0.00)
|
|
8.698(0.003)
|
|
|
F-stat
|
|
11.492
|
|
20.836
|
|
|
District Effect
|
Yes
|
Yes
|
Yes
|
Yes
|
|
|
Other controls
|
Yes
|
Yes
|
Yes
|
Yes
|
|
|
Observations
|
11,101
|
11,101
|
11,505
|
11,505
|
|
|
R-squared
|
|
-1.248
|
|
-0.193
|
|
|
Wald test of exogeneity
|
9.32(0.0023)
|
|
26.49(0.000)
|
|
|
|
Robust standard errors in parentheses, *** p < 0.01, ** p < 0.05, * p < 0.1. For the under-identification, Hansen J. (overidentification) and endogeneity tests, we report the test values with p-values in parenthesis. Also, For the exogeneity tests, we reported the chi sqr. test values with p-values in parenthesis Complete estimates are provided in Appendix III (OLS and 2SLS-IV) and IV (Probit and IV-Probit).
|
In sum, our analysis provided three key findings: (i) there is a gender-health gap in Ghana, where females are less likely to report being healthy than their male counterparts, (ii) financial inclusion has adverse effects on individuals’ health, as people with lower levels of financial inclusion report lower health, and finally (iii) our estimates suggest that financial inclusion may contribute to closing the gender-health gap, a finding that potentially may have significant policy implications.