marginally non-significantp = 0.081
Vein diameter had a marginally non-significant positive association (β = 3.720, p = 0.081). 3.2.2.2.2 Random forest model Using a random forest model with factors like age, pre-abstinence, pre-concentration, vein diameter, reflux time, surgery type, and post-abstinence, we identified vein diameter as the key factor for enhancing the percentage of progressively motile sperm, followed by age and vein diameter again, as well as right-sided microsurgical high ligation ( Figure 7A ).