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Miss. Lovable · 2021年08月23日

为什么和1.96比较,而不是-1.96呢 ?

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.

critical value +/-1.96    

1 个答案
已采纳答案

星星_品职助教 · 2021年08月23日

同学你好,

无论是选择还是答案解析,比较的都是test statistics和critical value的绝对值(absolute value)。即是用|-2.3017|和|±1.96|对比

拒绝原假设的原则即为|test statistic|>|critical value|。


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