Supplement 1. R scripts for conducting the simulations described in the main text.

File List simulations.R Description The code included in simulations.R allows conducting the simulations described as Procedure 1 and Procedure 2 in the main text, as well as the computations for comparing the joint probabilities of two random events involving alpha (or gamma) and beta pairs with the product of marginal probabilities.文件列表：simulations.R 说明 simulations.R 中包含的代码可用于开展正文中所述程序1（Procedure 1）与程序2（Procedure 2）对应的模拟实验，同时可完成相关计算：对比涉及α（或γ）与β对的两个随机事件的联合概率，与二者边缘概率的乘积。