## 3 Empirical Research
### Analysis of Results
#### 3.3.3 Analysis of the Results of the Two-Stage Dynamic Network Cross-Efficiency Model
This phenomenon reveals the overall development characteristics of China's high-tech manufacturing industry, i.e., more resources and efforts are focused on the transformation and commercialization of technological achievements, demonstrating strong product marketability, while efficiency improvement at the technology R&D stage is relatively lagging behind. This may be closely related to some limitations of China's domestic technological innovation system. In the early stage of technological research and development, the return cycle of R&D investment is longer, and technological breakthroughs have a high degree of uncertainty; in the middle and late stages of R&D, there may be some constraints or \"neck-breaking\" problems, which require the strengthening of basic research, technological accumulation, and the improvement of the innovation system. The following takes Hebei Province as an example to analyze its overall efficiency, the efficiency of stage one, and the efficiency of stage two in the two-stage dynamic network cross-efficiency model, as shown in Table 10 and Figure 5. By comparing Figures 4 and 5, it can be found that in the two models, the overall efficiency of innovation activities in the high-tech manufacturing industry in Hebei Province and the efficiency of stage two show a similar trend; while stage one in the dynamic network model shows a rising trend year by year, the efficiency of stage one in the dynamic network cross-efficiency model increases rapidly in the first year, and then the efficiency of the following two years shows a slight decline. This trend of change is closer to the actual development of Hebei Province. Despite the outbreak of the global pneumonia epidemic in 2019, which caused most enterprises and research institutions to enter the home office mode, and production activities were affected to varying degrees, innovative technology research and development activities were able to ensure that they basically continued, which explains to a certain extent the insignificant decrease in stage-one efficiency. The declines in the overall efficiency and stage-two efficiency were relatively large. Figure 5: Various efficiency values of Hebei Province in the dynamic network cross-efficiency model. Through modeling, the overall cross-efficiency value of Hebei Province was finally assessed to be 0.807175; the cross-efficiency value of stage one, to be 0.263308; and the cross-efficiency value of stage two, to be 0.808980, and these efficiency values are relatively reasonable. The efficiency of the technology R&D stage is related to the long-term and complexity of technological innovation as well as the input and output of R&D resources, and although the efficiency of this stage is low, this inefficiency does not mean ineffectiveness. Therefore, it can be considered that the two-stage dynamic network cross-efficiency model proposed in this paper is feasible to be applied in the high-tech manufacturing industry in Chinese provinces and has higher scientificity and rationality than the traditional DEA model. The model can better reflect the complex innovation chain of the high-tech manufacturing industry, especially under the influences of multiple stages and multiple factors, and it can more accurately assess the efficiency performances of different stages and provide a more powerful basis for related policymaking.