## 4 Analysis of Results
#### 4.2.4 Robustness Test of Spatial Panel Econometric Model  
In order to verify the reliability of the analysis results under the economic matrix, the full-time equivalent of R&D personnel and the total agricultural output value of each province from 2006 to 2019 were used as the substitution variables of agricultural patent authorization and agricultural technology market transaction volume, and a robustness test was performed by replacing core explanatory variables. The robustness test was also combined with the results of the Hausman test, the LM test, the robust LM test, the LR test and the Wald test. Under the economic matrix, the fixed-effect spatial Dubin model (SDM) should be used to study the impact of agricultural technology innovation on agricultural green development. A regression analysis of agricultural science and technology innovation and green agricultural development was carried out using three fixed effects, namely, time fixation, individual fixation and double fixation, and their spatial effects were decomposed (as shown in Tables 14-16). The regression results show that the R\({}^{2}\) value indicating the goodness of fit of the spatial Dubin model under the time fixation effect was the largest. Therefore, the spatial Dubin model with the fixed time effect was selected to analyze the spatial spillover effect of agricultural science and technology innovation on agricultural green development. According to Table 14, the main body regression results and spatial lag term regression results of the spatial Durbin model under the economic matrix show that: on the one hand, agricultural science and technology innovation has a significant promoting effect on agricultural green development in this province. Specifically, both the full-time equivalent of R&D personnel and total agricultural output value are positively correlated with green agricultural development at a significance level of 1%, and the regression coefficients are 0.0240 and 0.0495, respectively, indicating that each one-unit increase in the two variables of the full-time equivalent of R&D personnel and total agricultural output value will have a positive effect of 0.0232 and 0.0379 percentage points in terms of agricultural green development in this province, respectively. On the other hand, agricultural science and technology innovation in neighboring provinces has a positive effect on agricultural green development in this province. Specifically, both the full-time equivalent and total agricultural output value of R&D personnel in neighboring provinces are positively correlated with agricultural green development in this province at a significance level of 5%, and the regression coefficients are 0.0374 and 0.0390, respectively, indicating that each one-unit increase in the two variables of full-time equivalent and total agricultural output value of R&D personnel in neighboring provinces will have a positive effect of 0.0374 and 0.0390 percentage points, respectively, in terms of agricultural green development in this province. Tables 15 and 16 show the spatial effect decomposition results of the spatial Dubin model under the economic matrix. The results show that the spatial spillover effects of the full-time equivalent of R&D personnel and the total agricultural output value are  
0.0336 and 0.0402, respectively, and the direct effects are 0.0235 and 0.0498; both passed the 5% significance level test, indicating that the improvement of the province's agricultural science and technology innovation level will not only significantly promote agricultural green development in the province but also promote agricultural green development in neighboring provinces through positive spillover effects, which is similar to the conclusions of the above analysis. The results are consistent, indicating that the analysis in this paper has a high degree of credibility.