## 3 Empirical Research
### Analysis of Results
#### 3.3.3 Analysis of the Results of the Two-Stage Dynamic Network Cross-Efficiency Model  
The dynamic network cross-efficiency model with two stages of resource sharing proposed in this paper is used to assess the innovation efficiency of the high-tech manufacturing industry in 30 provinces in China, and the calculation results are shown in Table 9.  
According to the results in Table 9, it can be seen that all 30 provinces have different efficiencies in various categories throughout the assessment cycle, which makes it easier to rank them, and all the efficiencies in various categories show an upward trend. This trend indicates that the efficiency of Chinese provinces has been continuously improved in the development process of the high-tech manufacturing industry. Whether in the process of technology R&D or in the process of transformation of achievements, the industrial \begin{table}
\begin{tabular}{c c c c} \hline
**Hebei** & **Overall Efficiency Value** & **Stage 1 Efficiency Value** & **Stage 2 Efficiency Value** \\ \hline Full cycle & 0.866948 & 0.308851 & 0.366886 \\
2016 & 0.334131 & 0.155995 & 0.337072 \\
2017 & 0.433745 & 0.315810 & 0.435771 \\
2018 & 0.373970 & 0.369668 & 0.374011 \\
2019 & 0.334313 & 0.450185 & 0.333258 \\ \hline \end{tabular}
\end{table} 
Table 8: Overall efficiency results for Hebei Province in the two-stage dynamic network model. \begin{table}
\begin{tabular}{c c c c} \hline
**Serial Number** & **DMU** & **Overall Efficiency Value** & **Stage 1 Efficiency Value** & **Stage 2 Efficiency Value** \\ \hline
1 & Shanghai & 0.813357 & 0.249872 & 0.824476 \\
2 & Yunnan & 0.810733 & 0.253328 & 0.820066 \\
3 & Neimenggu & 0.811440 & 0.234682 & 0.823061 \\
4 & Beijing & 0.801637 & 0.548428 & 0.812584 \\
5 & Jilin & 0.813297 & 0.409206 & 0.816844 \\
6 & Sichuan & 0.812225 & 0.253072 & 0.821677 \\
7 & Tanjin & 0.808339 & 0.268955 & 0.816890 \\
8 & Ningxia & 0.796537 & 0.219304 & 0.807736 \\
9 & Anhui & 0.799821 & 0.235918 & 0.809517 \\
10 & Shandong & 0.808562 & 0.270846 & 0.817088 \\
11 & Shanxi & 0.813070 & 0.235249 & 0.822682 \\
12 & Guangdong & 0.807938 & 0.251826 & 0.819104 \\
13 & Guangxi & 0.816251 & 0.243628 & 0.826848 \\
14 & Xinjiang & 0.821312 & 0.330308 & 0.821530 \\
15 & Jiangsu & 0.808527 & 0.254284 & 0.818083 \\
16 & Jiangxi & 0.809149 & 0.229838 & 0.820081 \\
17 & Hebei & 0.807175 & 0.263308 & 0.809890 \\
18 & Henan & 0.805053 & 0.225447 & 0.808061 \\
19 & Zhejiang & 0.799889 & 0.241973 & 0.809114 \\
20 & Hainan & 0.834021 & 0.324571 & 0.842910 \\
21 & Hubei & 0.808363 & 0.251950 & 0.819425 \\
22 & Hunan & 0.810506 & 0.255088 & 0.819720 \\
23 & Gansu & 0.810213 & 0.250349 & 0.819847 \\
24 & Fujian & 0.808588 & 0.254699 & 0.817627 \\
25 & Guizhou & 0.816073 & 0.426705 & 0.817243 \\
26 & Liaoning & 0.813300 & 0.255949 & 0.822585 \\
27 & Chongqing & 0.809759 & 0.228837 & 0.819621 \\
28 & Shaanxi & 0.812482 & 0.278667 & 0.820348 \\
29 & Qinghai & 0.806722 & 0.225267 & 0.815790 \\
30 & Heilongjiang & 0.806412 & 0.288813 & 0.806941 \\ \hline \end{tabular}
\end{table} 
Table 9: Overall dynamic network cross-efficiency results for both phases. efficiency has made significant progress. Guizhou Province had the highest efficiency value in the first stage, specifically, 0.426705, indicating that it has an advantage in research and development. Although the overall efficiency is moderate, it has a disadvantage in commercialization. Hainan Province had the highest efficiency value in the second stage, reaching 0.842910, and its efficiency value in the first stage was also relatively high, with the overall efficiency being the highest. Meanwhile, the efficiency of most provinces in the technology R&D stage is generally lower than that in the transformation stage of their achievements.