Mixed methods improve prediction of count data and quantify intervention effects, indicating model robustness.
In this paper, negative binomial regression model, random forest model, PageRank algorithm and PSM-DID algorithm are proposed, focusing on the application of multi-models in the prediction of count data, the assessment of importance of feature variables, the analysis of association networks and the quantification of intervention effects. First, to address the over-dispersion of count data, a negative binomial regression model is used, which solves the limitations of traditional Poisson regression and realizes the effective prediction of count variables by introducing negative binomial distribution modeling. Second, the random forest model is constructed and combined with the SHAP method, based on the principle of additive feature attribution, the marginal contribution of the feature variables is weighted to quantify the degree of influence of each variable on the prediction results, to realize the modeling of the complex nonlinear relationship and the importance ranking of the features. Then, the node association network is constructed based on the PageRank algorithm, and the ordering of node potential in the network is realized by defining a stochastic wandering model with a damping factor and iteratively calculating the smooth distribution value of the nodes; finally, the PSM-DID algorithm is utilized to quantify the net effect of interventions by eliminating the selection bias through the propensity score matching and stripping the influence of the temporal trend in conjunction with the double-difference method. These methods can effectively handle count data, nonlinear relationships and network structure data, enhance the stability of analysis results through complementary validation between models, and provide a structured quantitative analysis framework for data modeling and causal inference in multiple fields.
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Zhong et al. (2025) studied this question.
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