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International Journal of
            Population Studies                                                             Employment-driving effect




            Table 1. Descriptive statistics of the studied variables
            Variable                         Panel A: Manufacturing               Panel B: Producer services
                                    Mean       SD       Min      Max       Mean      SD       Min       Max
            Number of employees    11063.17  17095.57  119.00  168600.00  12334.02  29573.61  105.00  293592.00
            Enterprise equity nature  0.68     0.47     0.00     1.00      0.70      0.46     0.00      1.00
            Operation duration       21.26     5.91     7.00     40.00     20.85     6.84     3.00      39.00
            Wage level               11.99     0.45    10.61     13.33     12.04     0.52     10.07     13.73
            Employee welfare         0.75      0.44     0.00     1.00      0.73      0.45     0.00      1.00
            Staff safety production training  0.58  0.49  0.00   1.00      0.63      0.48     0.00      1.00
            R&D innovation         47742.11  104397.89  0.00   1496713.48  45286.18  159213.23  0.11  2187415.10
            Log of enterprise assets  23.40    1.35    20.52     27.55     23.71     1.42     19.83     27.81
            Unemployment rate        3.03      0.74     1.21     4.61      2.95      0.79     1.21      4.61
            GDP per capita         105727.12  42890.03  19436.00  203489.00  121676.24  41270.41  16248.00  467749.00
            Notes: R&D: Research and development; GDP: Gross domestic product; SD: Standard deviation.

            companies in A-share listed companies are predominantly   welfare, staff safety production training, R&D innovation,
            high-tech manufacturing industries with stronger technical   enterprise assets, unemployment rate, and per capita GDP,
            innovation capabilities. In contrast, producer services   respectively. produc  denotes the number of employees in
                                                                               i
            companies, primarily service industries, are more exposed   producer services in region i, α, and ∂ denote the constant
            to “subservient business” and lack innovation dynamics.  terms,  β  and  ρ  denote the regression coefficient of the
                                                                      0
                                                                            0
                                                               core independent variables, and β  and ρ  (for i=1,2,3,…,10)
                                                                                              i
            2.3.2. Modeling strategies                         denote the regression coefficients of the control variables
                                                                                         i
            The theoretical analysis of the mutual employment   affecting the number of employees in manufacturing and
                                                                                            3
            promotion between producer services and manufacturing   producer services, respectively.    area   denotes the
            industries suggests that the dependent and independent                         k1  k
            variables do not exist independently in the economic   inclusion of region dummy variables, which are divided
            system; instead, there is an inverse causal relationship.   into eastern, central, and western regions based on the
            Thus, addressing the endogeneity of the model becomes   setting of the questionnaire.  ε and  δ denote random
            crucial. Single-equation models can only reflect the   disturbance terms.
            unidirectional causality of the model and cannot effectively
            address the endogeneity of the model. Furthermore, the   3. Results and discussion
            existence of endogeneity leads to bias and inconsistency   3.1. Discussion on endogeneity
            in the estimation results (Pan et al., 2019; Yu et al., 2018).
            To tackle this issue, this paper constructs a simultaneous   Through the theoretical analysis and empirical model
            equations model and applies the three-stage least squares   setting outlined above, an endogeneity test of the model
            method (3SLS) for regression analysis. In this paper, the   is conducted before the empirical regression with the
            simultaneous equations are set as follows:         simultaneous equations model to confirm the existence of
                                                               a two-way causal relationship between manufacturing and
                                       3                      producer services. The common method for an endogenous
                                     i
             manuf    0 produc   i Z   area
                  i
                                i
                                             k
                                       k1                    test is the Hausman test, where the original hypothesis
                                       3            (XIV)     assumes that all explanatory variables are exogenous.
             produc    manuf   Z   area
                                     i i
                  i      0    i   i         k                 The results in Table 2 show that the relationship between

                                       k1
                                                               manufacturing and producer services and producer
              where  manuf  denotes region  i manufacturing.  Z  i  services is exogenous. p-values of the regressions from
                          i
            denotes the control variable group, that is,       manufacturing to producer services and from producer
            Z = ( ownership time wage welfaretrain   i     i     i     i    i  services to manufacturing pass the significance tests at
             i
                innovassetjoobless perGDP )           (XV)     5% and 1%, respectively, indicating the presence of an



                                                               endogeneity problem if the ordinary least squares method
                                         i
                          i
                                 i
                    i
              and the control variables  in parentheses  denote the   is used. Therefore, the subsequent empirical analysis was
            nature of enterprise equity, operation duration, employee   conducted using the joint cubic equation model.
            Volume 10 Issue 2 (2024)                        83                        https://doi.org/10.36922/ijps.0316
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