2023 China Graduate Mathematical Modeling Competition Question E (11): Question 2 Question d: Research on the correlation between modeling and treatment of edema around hematoma (theory + source code)

1. Problem analysis

Analyzing the relationship between hematoma volume, edema volume, and treatment is an important task that can help us understand the impact of different factors on patient health status and potential treatment strategies.

We build the required data set, as shown in Table 5-11:

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We first focused on the relationship between hematoma volume and edema volume. Statistical methods can be used to explore the relationship between hematoma volume and edema volume. We can fit an equation that describes the relationship between hematoma volume and edema volume. Fitting an equation can help us understand the correlation between these two variables.

Next, we explored the effects of different treatments on hematoma volume and edema volume. Analysis of variance and correlation analyzes can be performed to analyze the effects of different treatments on hematoma volume and edema volume. This will help us determine whether the two dependent variables were significantly affected by the different treatments.

Finally, we can use permutation importance analysis. This analysis can be used to determine the extent to which different variables affect the results. We can use random permutation or other methods to estimate the importance of different treatments on hematoma volume and edema volume. This can help us identify which treatments are most critical to improving a patient's condition.

In summary, these analytical methods provide a more comprehensive understanding of the relationship between hematoma volume, edema volume, and different treatments to guide medical decision-making and treatment selection.

2. Establishment of model

Analysis of variance is a statistical method used to evaluate whether there are significant differences between two or more sample means. Depending on the number of factors compared, ANOVA can be divided into the following three types: one-way ANOVA, two-way ANOVA and multi-way ANOVA. <

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Origin blog.csdn.net/wzk4869/article/details/133391577