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大老王 · 2021年01月30日

原假设是什么

NO.PZ2015120204000007

问题如下:

Batten runs a regression analysis using Stellar monthly returns as the dependent variable and the monthly change in CPIENG (US Consumer Price Index for Energy) as the independent variable. He compiles the summary statistics for the 248 months between January 1980 and August 2000.

Batten wants to determine whether the sample correlation between the Stellar and CPIENG variables is statistically significant. The calculated t test-statistics is -2.3017.The critical value for the test statistic at the 0.05 level of significance is approximately ±1.96. Batten should conclude that the statistical relationship between Stellar and CPIENG is:

选项:

A.

significant, because the calculated test statistic has a lower absolute value than the critical value for the test statistic.

B.

significant, because the calculated test statistic has a higher absolute value than the critical value for the test statistic.

C.

not significant, because the calculated test statistic has a higher absolute value than the critical value for the test statistic.

解释:

B is correct.

Because the absolute value of t = -2.3017 is greater than 1.96, the correlation coefficient is statistically significant.

老师这道题如何判断什么是原假设呢,因为题干说的是determine whether the sample correlation between the Stellar and CPIENG variables is statistically significant.我自己的直接理解原假设就是这两个事情的相关性是significant的,这样对吗,所以T-TEST的值落在拒绝域里,那应该拒绝原假设,即相关性是不significant的,这样的逻辑错在哪了呢?

1 个答案

星星_品职助教 · 2021年01月30日

同学你好,

“significant”的全称是statistically significant different from 0。也就是否显著的不为0。

无论是题干问是否significant,还是有提示说这是一个significance test,原假设都是假设(要检验的东西)等于0。

如果检验结果是拒绝原假设(|test statistics|>|critical value|,或者p-value<α),那么就是说明要检验的东西显著的不等于0,也就是“significant”.简单来说就是“significant”等于“拒绝原假设”。

通过以上逻辑即可快速选出B选项。

 

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NO.PZ2015120204000007 significant, because the calculatetest statistic ha higher absolute value ththe criticvalue for the test statistinot significant, because the calculatetest statistic ha higher absolute value ththe criticvalue for the test statisti B is correct. Because the absolute value of t = -2.3017 is greater th1.96, the correlation coefficient is statistically significant. criticvalue +/-1.96    

2021-08-23 21:49 1 · 回答

NO.PZ2015120204000007 您好,这道题我完全不明白,貌似对应的视频没有讲过这部分。麻烦给出具体对应的视频。题干都不是很懂(t test什么的)

2021-06-25 23:22 1 · 回答

NO.PZ2015120204000007 significant, because the calculatetest statistic ha higher absolute value ththe criticvalue for the test statistinot significant, because the calculatetest statistic ha higher absolute value ththe criticvalue for the test statisti B is correct. Because the absolute value of t = -2.3017 is greater th1.96, the correlation coefficient is statistically significant. 既然是双尾检验,那么a也应该是对的呀

2021-05-02 22:07 1 · 回答

significant, because the calculatetest statistic ha higher absolute value ththe criticvalue for the test statistinot significant, because the calculatetest statistic ha higher absolute value ththe criticvalue for the test statisti B is correct. Because the absolute value of t = -2.3017 is greater th1.96, the correlation coefficient is statistically significant. t统计量不是双尾检验,拒绝域是小于-critvalue 和大于critvalue -2.3小于1.96就行,答案b是什么意思呢?

2020-09-08 23:57 1 · 回答