Table 2 presents summary results of both dependent variable and independent variables that have been defined in the Methods section, including number of observations, means and standard deviations. The sample analysed consists of 435 hospitals out of 557 whole tertiary and secondary hospitals in the area. The final analysed sample excluded 142 hospitals because those hospitals contains no patients from obstetric-gynaecological departments. For sample hospitals, the average CMI is 0.730, compared to 0.73 for all hospitals. For sample hospitals, the average physician human capital level is 4.00 years, while this value is 3.98 for all hospitals. We find no significant differences in common hospital characteristics between sample and the universe, and therefore conclude that this sample hospital can represent all tertiary and secondary hospitals. Table 3 displayed hospital case-mix index decomposition by selected hospital characteristics. In terms of government-owned, specialty hospital, and TCM services, CMI differences do not appear large. Both hospital teaching status and hospital level seems have larger impacts on the hospital case-mix complexity. The hospital CMI is distributed from 0.567 to 0.826 across cities, among them two cities – Aba and Ganzi – appears smaller as they are located in remote areas. To examine the sources of variation in hospital CMI, we cannot be satisfied with descriptive results and further use linear regression analysis to explore human capital impacts on hospital case-mix.
Table 2
Variable | count | mean | p50 | sd | min | max |
CMI | 435 | 0.73 | 0.73 | 0.12 | 0.44 | 1.27 |
Physician human capital | 435 | 4.00 | 4.00 | 0.74 | 2.31 | 6.19 |
Physician experience | 435 | 20.61 | 19.59 | 4.67 | 9.88 | 42.17 |
Teaching hospital | 435 | 0.09 | 0.00 | 0.29 | 0.00 | 1.00 |
Government owned | 435 | 0.81 | 1.00 | 0.40 | 0.00 | 1.00 |
Tertiary hospital | 435 | 0.24 | 0.00 | 0.43 | 0.00 | 1.00 |
Specialty hospital | 435 | 0.03 | 0.00 | 0.17 | 0.00 | 1.00 |
TCM hospital service | 435 | 0.19 | 0.00 | 0.39 | 0.00 | 1.00 |
Occupancy rate | 435 | 0.90 | 0.93 | 0.21 | 0.09 | 1.43 |
Outpatient per admission | 435 | 13.74 | 12.02 | 8.74 | 1.74 | 98.70 |
Urban residents insurance | 435 | 0.10 | 0.05 | 0.13 | 0.00 | 0.74 |
Employee insurance | 435 | 0.12 | 0.08 | 0.14 | 0.00 | 0.80 |
Rural residents insurance | 435 | 0.13 | 0.05 | 0.17 | 0.00 | 0.84 |
Proportion of internal medicine | 435 | 0.40 | 0.39 | 0.14 | 0.00 | 0.98 |
Proportion of OBG | 435 | 0.10 | 0.09 | 0.08 | 0.00 | 0.73 |
Table 3
Hospital case-mix index by selected hospital characteristics
Variable | CMI(mean) | Number of hospital |
Teaching hospital | | | |
| No | 0.713 | 395 |
| Yes | 0.911 | 40 |
Government owned | | | |
| No | 0.714 | 84 |
| Yes | 0.735 | 351 |
Tertiary hospital | | | |
| No | 0.694 | 332 |
| Yes | 0.850 | 103 |
Specialty hospital | | | |
| No | 0.732 | 422 |
| Yes | 0.700 | 13 |
TCM hospital service | | | |
| No | 0.736 | 354 |
| Yes | 0.709 | 81 |
City | | | |
| Aba | 0.567 | 19 |
| Bazhong | 0.749 | 10 |
| Chengdu | 0.778 | 80 |
| Dazhou | 0.782 | 19 |
| Deyang | 0.795 | 16 |
| Ganzi | 0.557 | 16 |
| Guangan | 0.755 | 11 |
| Guangyuan | 0.714 | 28 |
| Leshang | 0.728 | 24 |
| Liangshan | 0.645 | 29 |
| Luzhou | 0.746 | 16 |
| Meishan | 0.717 | 7 |
| Mianyang | 0.767 | 28 |
| Nanchong | 0.758 | 28 |
| Neijiang | 0.763 | 15 |
| Panzhihua | 0.724 | 10 |
| Suining | 0.755 | 15 |
| Yaan | 0.676 | 18 |
| Yibin | 0.738 | 25 |
| Zigong | 0.745 | 14 |
| Ziyang | 0.826 | 7 |
Table 2. Summary results
Table 3. Hospital case-mix index by selected hospital characteristics
Table 4 reports results from ordinary least squares regressions. The first regression uses only physician human capital as independent variable. In with our expectation, one additional year of physicians’ medical training in a hospital is associated with 0.088 increase in hospital case-mix index. This is consistent with primary findings in descriptive results. The second model includes prefectural-level city fixed effects to estimate impacts of physician. The main coefficient of interest is 0.70 (S.E. = 0.006), showing that the estimation of physician human capital is very similar with the model without any additional controls. One difference with previous model is that the R square significantly increased from 0.218 to 0.333, which implies relative contributions of more independent variables regarding local areas greatly augmented. This improves performance of our model specification, because local area fixed-effects is used to control patients sorting across hospitals that is expected to be a major confounding factor to estimates of human capital effects.
Table 4
CMI | (1) | (2) | (3) | (4) |
b/se | b/se | b/se | b/se |
Physician human capital | 0.088*** | 0.070*** | 0.070*** | 0.045*** |
| (0.009) | (0.006) | (0.013) | (0.015) |
Physician experience | | | -0.000 | -0.001 |
| | | (0.003) | (0.003) |
Teaching hospital | | | 0.059*** | 0.093*** |
| | | (0.016) | (0.017) |
Government owned | | | -0.055*** | -0.025 |
| | | (0.019) | (0.016) |
Tertiary hospital | | | 0.056*** | 0.052*** |
| | | (0.009) | (0.007) |
Specialty hospital | | | -0.014 | -0.032 |
| | | (0.022) | (0.025) |
Occupancy rate | | | 0.077** | 0.032 |
| | | (0.034) | (0.026) |
Outpatient per admission | | | -0.001** | -0.002** |
| | | (0.001) | (0.001) |
Urban residents insurance | | | 0.052 | 0.014 |
| | | (0.044) | (0.054) |
Employee insurance | | | 0.010 | -0.013 |
| | | (0.035) | (0.032) |
Rural residents insurance | | | 0.028 | -0.014 |
| | | (0.025) | (0.025) |
Proportion of internal medicine | | | 0.034 | 0.056 |
| | | (0.035) | (0.035) |
Proportion of OBG | | | -0.159* | -0.089 |
| | | (0.090) | (0.086) |
TCM hospital service | | | -0.005 | -0.020* |
| | | (0.011) | (0.010) |
Constant | 0.390*** | 0.460*** | 0.424*** | 0.559*** |
| (0.045) | (0.022) | (0.098) | (0.099) |
City fixed effects | N | Y | N | Y |
N | 435 | 435 | 435 | 435 |
ll | 372.067 | 416.086 | 460.552 | 504.632 |
R2 | 0.218 | 0.333 | 0.520 | 0.608 |
bic | -731.497 | -825.853 | -829.974 | -924.210 |
* p < 0.10 ** p < 0.05 *** p < 0.01 | | | | |
Notes: we correct the standard errors for clustering on city-level that is often seen as hospital referral regions in China |
In the third model, we further added all of control variables, while the main result of physician human capital is identical to the model (2). For physicians’ ability indicator as a confounding factor, we found no effects on hospital case-mix. In terms of hospital characteristics, teaching commitment, tertiary hospital, and outpatient per admission, are generally significant and in line with our expectation. For example, hospitals with approved teaching programs has an important effect on case-mix complexity, because teaching hospitals have advanced staff to diagnoses and treat complex illnesses, and complex cases provide valuable teaching opportunities. Similarly, tertiary hospitals also treated more patients with more complex condition. The R square in the third model is 0.520, compared to 0.333 in the second, suggesting these control variables have a considerable amount of contribution in determining variation of hospital case-mix.
The last column for dependent variable of hospital case-mix index includes all controls in Table 3 and city-level fixed effects. In this model specification, we considered that two confounding factors regarding to patients’ sorting and physician ability have been controlled. The parameter estimated show that hospitals have higher level of physician human capital significantly have more serious case mix. In specific, when average medical school years increased by one, the hospital CMI increased by nearly 0.05. Meanwhile, there is little relationship with physicians’ experience that is used to proxy their ability. By controlling two potential confounding factors, we therefore obtained the robust positive effects of physician human capital on hospital case-mix.
Table 4. Regression model results
In the Fig. 3, we can draw a positive relationship between hospital case-mix index and physician human capital within a hospital measured by average year of medical training without controlling for any covariates. These patterns could arise through channels other than a causal effect of medical training on patients’ case-mix complexity. As we have mentioned in the Methods, both patients’ sorting across hospitals and physicians’ ability instead of their schooling could be confounding factors. Therefore, the findings from Fig. 3 are strongly suggestive but not definitive evidence that human capital on case-mix index. Figure 4 further displays a binscatter plot of the relationship estimated in model 4 of Table 4. Specifically following Cattaneo (2019), we present binned scatterplots of physician human capital/hospital CMI using regression model with covariates set to mean values [7]. The figure still shows that an increase in physician human capital level corresponding to a significant rise in hospital case-mix complexity after controlling for hospital, patients, and local community characteristics. The effect size of human capital is particularly high at tertiary hospital level, suggesting that physicians in larger hospitals are even more important in determining hospitals’ case-mix complexity.
Figure 4. Determinants of hospital case-mix by hospital level: binscatter