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yangpin678 avatar yangpin678 commented on May 30, 2024

你好,请问可以详细请教一下关于HDI的一些问题吗?我也是上了K老师这门课的学生。如果方便的话可以邮箱联系吗?感恩❤

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hongtaoh avatar hongtaoh commented on May 30, 2024

@yangpin678 我想了想你的问题。重复一下:你不知道该如何理解 HDI, 另外 Jags 的结果你也不知道如何解读。

简单来说,HDI 是告诉我们一个分布集中在哪里。在上面的配图中,95% HDI,比如图 4.5 最上面那个,[-1.96, 1.96] 中间部分的概率质量之和是 0.95。你可以想象一下,如果是全部**人身高的密度分布,那么大体上 [155, 175] 这个区间的概率质量之和是 95%,我只是打个比方。

参考这篇帖子,你可以想象有一条横线从密度分布的最上方往下走,当所经过的概率密度之和等于一个数,比如 0.95 时,停下来,这条线相交的两个点的横坐标就是 jags 给你的两个数。当然,因为 hdi 不一定是连续的,相交的不一定是两个点,jags 给你的也就不一定是两个数。

如果 95% hdi 是 [155, 175],你可以这么解读:在密度分布图中, [155, 175] 这个区间的概率质量之和是 0.95。

我其实也不知道我的解读对不对,你也可以参考一下这里

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