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International Journal of
            Population Studies                                                             Employment-driving effect




            Table 2. Endogeneity test                          Table 3. Endogeneity Durbin‑Wu‑Hausman test
                                           χ 2      p‑value                                   χ 2      p‑value
            Manufacturing to producer services  12.16  0.0005**  Manufacturing to producer services  13.01  0.0003**
            Producer services to manufacturing  50.57  0.0000***  Producer services to manufacturing  54.34  0.0000***
            Notes: *p<0.1, **p<0.05, ***p<0.01.                Notes: *p<0.1, **p<0.05, ***p<0.01.

              Considering that the traditional Hausman test    Table 4. Employment‑driving effects of manufacturing and
            may not be valid in the case of heteroskedasticity, a   producer services
            heteroskedasticity-robust Durbin-Wu-Hausman (DWH)
            test was conducted. In Table 3, p-value of the DWH test   Variable    Three‑stage least squares method
                                                                                  Number of
            for manufacturing to produce services is less than 0.01,            manufacturing   Number of producer
                                                                                               services employees
            passing the 1% significance test, confirming the presence             employees
            of an endogeneity problem. Similarly, p-value of the DWH   Number of                0.3306** (2.48)
            test for producer services to the manufacturing is also   manufacturing
            below 0.01, passing the 1% significance test, indicating the   employees
            existence of endogeneity and further validating the earlier   Number of producer   0.4343*** (18.62)
            conclusion.                                        services employees

            3.2. Baseline regression                           Enterprise       482.6678 (0.59)  −297.5408 (−0.20)
                                                               equity nature
            Table 4 presents the estimated results of the full sample   Operation duration  −151.0392** (−2.36)  −300.8916*** (−3.00)
            under 3SLS. The coefficients of the two independent   Wage level   −2327.796** (−2.42)  −10084.13*** (−5.83)
            variables are consistently significant and positive at   Employee welfare  −31.6869 (−0.04)  2357.812* (1.82)
            the level of 1%, confirming their role in promoting
            employment and supporting Hypothesis 1 of this paper.   Staff safety   653.4455 (0.92)  52.6525 (0.04)
                                                               production training
            Regarding control variables, enterprise equity nature and
            staff safety production training show no significance in the   R&D innovation  −0.0051 (−1.33)  0.0534** (0.0241)
            two-way employment drive, while the remaining variables   Log of    4548.856*** (10.76)  0.1031*** (10.25)
            are significant, at least at the level of 10%. At the same time,   enterprise assets
            concerning the unemployment rate and GDP per capita,   Unemployment rate  −2120.22* (−1.87)  4389.486*** (5.15)
            they play different roles in the two-way employment drive   GDP per capita   0.0203* (1.72)  −3779.701** (−2.24)
            of producer services and manufacturing.            Province             Yes             Yes
                                                               Constant        −64143.51*** (−4.58)  −0.0120 (−0.90)
            3.2.1. Analysis of the estimation results of the
            manufacturing equation                             Observations         537             537
                                                               R-squared           0.7115          0.7021
            From the estimation results of the manufacturing equation,
            it can be seen that for every increase in employment in   Notes: t-values are shown in parentheses; *p<0.1; **p<0.05; ***p<0.01.
            producer services, employment in manufacturing will
            increase by 0.4343.                                assets, specifically the total assets of firms in this paper,
                                                               expand, the greater the effect on promoting employment
              The results of the baseline regression indicate that   in manufacturing firms. This finding is consistent with the
            the enterprise equity nature and R&D innovation do not   expected direction.
            significantly contribute  to the employment-boosting
            effect of producer services enterprises on manufacturing   In particular, the unemployment rate exhibits a
            enterprises. Typically, as an intermediate input to   significant negative impact at a statistical level of 10%
            manufacturing, producer services effectively improve   on the employment drive in the manufacturing sector.
            the value of output and operational efficiency at different   Conversely, it shows a significant positive impact at a
            stages of the production process. However, the results of   statistical level of 1% on employment drive in the producer
            the baseline regression show that this efficiency-boosting   services sector. This can be explained in the context
            process is  independent  of the  type of  producer  services   of China’s macroenvironment. As China’s traditional
            enterprises. The promotion effect of enterprise assets on   industries,  especially manufacturing, undergo urgent
            manufacturing employment passes the 1% significance test,   transformation and upgrading, their enterprises are also
            and the regression coefficients indicate that as enterprise   in the process of transformation and adjustment. The


            Volume 10 Issue 2 (2024)                        84                        https://doi.org/10.36922/ijps.0316
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