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上小学 · 2023年03月26日

请问查的T分布表吗?表格纵轴只有自由度,横轴是P?请问这个P是指 PVALUE?具体怎么查的呢?

NO.PZ2020010304000049

问题如下:

Find the p-value for the following t-test statistics of the null hypothesis, H0:μ=μ0H_0: \mu = \mu_0.

a. Statistic: 1.45, Alternative: Two-sided

b. Statistic: 1.45, Alternative: One-sided upper

c. Statistic: 1.45, Alternative: One-sided lower

d. Statistic: -2.3, Alternative: One-sided upper

e. Statistic: 2.7, Alternative: Two-sided

解释:

a. In a two-sided test, the p-value is the area under the normal curve for values greater than 1.45 or less than -1.45. This is twice the area less than -1.45, or 2 * 0.074. = .148.

b. In a one-sided upper test, we need the area above 1.45. This is half the previous answer, or 0.074.

c. In a one-sided lower test, we need the area under the curve for values less than 1.45. This is just 1 - 0.074 = .926.

d. Here we need to probability under the normal curve for values above -2.3, which is 1 minus the area less than -2.3, or 1 - 0.01 = 0.99.

e. Because it is a two-sided alternative, we need that area for values larger than 2.7 or less than -2.7, which is twice the area less than -2.7. This value is 2 * .0034 = .0068.

如何在T分布表上找到PVALUE?烦请逐步说一下,谢谢。实在找不到那几个数字在哪里?T分布表格里哪个是指几倍的标准差?

3 个答案
已采纳答案

李坏_品职助教 · 2023年03月29日

嗨,努力学习的PZer你好:


考试中大部分考题都是给你一个概率值,比如α=0.05的情况下,自由度告诉你,然后让你去找t值。


计算p value应该是考不到的。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

李坏_品职助教 · 2023年03月26日

嗨,爱思考的PZer你好:


嗨,爱思考的PZer你好:


题目是让你根据不同的t统计量,在t分布表里面查找对应的p value。(一般的t分布表可能给不了那么全面的数据,这道题在考试中不会这么考的,考试中会直接给你p=0.05或者0.025的t值,让你去判断是否拒绝H0)


比如第一问,给的t值是1.45,要求是双尾检验。所以是求t值大于1.45的部分 + t值小于-1.45的部分。这里没有给自由度,可以默认为n比较大,比如n=50。


利用excel:

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加油吧,让我们一起遇见更好的自己!

李坏_品职助教 · 2023年03月26日

嗨,努力学习的PZer你好:


常见的t分布表:

纵轴是自由度n, 横轴第一行是单尾的概率,横轴第二行是双尾的概率。

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加油吧,让我们一起遇见更好的自己!

上小学 · 2023年03月29日

理解了,谢谢老师,我也不会使用EXCEL公式,没可能做出来的。在T分布表中,给出自由度,给出单双尾的概率后,可以查到关键值。那么,考试会考计算PVALUE吗?从T表中需要学会如何看谁是PVALUE吗?谢谢

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