问题如下图:
选项:
A.
B.
C.
解释:
解释里的意思不是很明白,
可否画个p value和significant level在正太分布的图像表示吗?
是不是p value 属于significant level中的最低标准,
菲菲_品职助教 · 2018年09月27日
同学你好,首先我们要知道什么是P-value,什么是significance level。
P-value是我们算出来的检验统计量在分布上面切得的一块自己的尾部的面积。而significance level是我们通常所说的拒绝域。这道题目的意思是,我们可以直接通过比较P-value和significance level来得出假设检验的结论。
我们可以通过下图来理解一下我前面所说的这个概念:
由图我们可以知道,统计量对应的尾部的面积(红色区域)即为P-value,(若为单尾,则是单边尾巴的面积;若为双尾,则是两侧尾部面积的和),而拒绝域则为α,即蓝色区域面积。所以当P-value小于α时,可以推断统计量落在拒绝域中,要拒绝原假设。即图中所示情况。
所以P-value 不属于significant level中的最低标准,这是两个独立的概念。
NO.PZ2017092702000133 问题如下 Whiof the following statements is correwith respeto the p-value? A.It is a less precise measure of test evinthrejection points. B.It is the largest level of significanwhithe null hypothesis is rejecte C.It ccomparerectly with the level of significanin reaching test conclusions. C is correct.When rectly comparing the p-value with the level of significance, it cusealternative to using rejection points to reaconclusions on hypothesis tests. If the p-value is smaller ththe specifielevel of significance, the null hypothesis is rejecte Otherwise, the null hypothesis is not rejecte对于一个分布而言,每个概率面积在横轴上都有一个对应点,例如significanlevel α对应的分位点就是临界值criticvalue(假设正态分布下α=95%,双尾检验,则右尾就会对应criticvalue=1.96)。而p-value也是一个概率面积,对应的点就是计算出来的检验统计量的那个点。所以当p-value<α时,就等价于检验统计量>criticvalue,也就是拒绝原假设。 能方便一下- 为何是smallest 而不是 largest 吗? 以下为我的理解 - p-value 是一个概率, i.e. 如果 p-value 为 0.06 - 则我们可以理解为有 6% 的可能性 the null hypothesis 为 true (base on the available samples). 而 level of significan只是一个 pre-finethresholof rejecting null hypothesis - i.e. if p-value = thresholthen we conclu there is statisticevinto support null hypothesis being true, otherwise, we rejenull hypothesis. e.g. when p-value 0.05 level of significan= 0.05 -- 则我们可以rejenull. Regaress p-value = 0.04, 0.03 etc -- 我们都可以rejenull, 那么level of significan岂不是一个upper boun 而p-value 也可以理解为 一个大值 where we coulrejea null? 请问我的理解错在了哪里? 谢谢
NO.PZ2017092702000133问题如下 Whiof the following statements is correwith respeto the p-value?A.It is a less precise measure of test evinthrejection points. B.It is the largest level of significanwhithe null hypothesis is rejecte C.It ccomparerectly with the level of significanin reaching test conclusions. C is correct.When rectly comparing the p-value with the level of significance, it cusealternative to using rejection points to reaconclusions on hypothesis tests. If the p-value is smaller ththe specifielevel of significance, the null hypothesis is rejecte Otherwise, the null hypothesis is not rejecte对于一个分布而言,每个概率面积在横轴上都有一个对应点,例如significanlevel α对应的分位点就是临界值criticvalue(假设正态分布下α=95%,双尾检验,则右尾就会对应criticvalue=1.96)。而p-value也是一个概率面积,对应的点就是计算出来的检验统计量的那个点。所以当p-value<α时,就等价于检验统计量>criticvalue,也就是拒绝原假设。 请问老师,a错在哪里?
NO.PZ2017092702000133问题如下Whiof the following statements is correwith respeto the p-value?A.It is a less precise measure of test evinthrejection points. B.It is the largest level of significanwhithe null hypothesis is rejecte C.It ccomparerectly with the level of significanin reaching test conclusions. C is correct.When rectly comparing the p-value with the level of significance, it cusealternative to using rejection points to reaconclusions on hypothesis tests. If the p-value is smaller ththe specifielevel of significance, the null hypothesis is rejecte Otherwise, the null hypothesis is not rejecte对于一个分布而言,每个概率面积在横轴上都有一个对应点,例如significanlevel α对应的分位点就是临界值criticvalue(假设正态分布下α=95%,双尾检验,则右尾就会对应criticvalue=1.96)。而p-value也是一个概率面积,对应的点就是计算出来的检验统计量的那个点。所以当p-value<α时,就等价于检验统计量>criticvalue,也就是拒绝原假设。 p value和test statistic 的关系?
NO.PZ2017092702000133 问题如下 Whiof the following statements is correwith respeto the p-value? A.It is a less precise measure of test evinthrejection points. B.It is the largest level of significanwhithe null hypothesis is rejecte C.It ccomparerectly with the level of significanin reaching test conclusions. C is correct.When rectly comparing the p-value with the level of significance, it cusealternative to using rejection points to reaconclusions on hypothesis tests. If the p-value is smaller ththe specifielevel of significance, the null hypothesis is rejecte Otherwise, the null hypothesis is not rejecte对于一个分布而言,每个概率面积在横轴上都有一个对应点,例如significanlevel α对应的分位点就是临界值criticvalue(假设正态分布下α=95%,双尾检验,则右尾就会对应criticvalue=1.96)。而p-value也是一个概率面积,对应的点就是计算出来的检验统计量的那个点。所以当p-value<α时,就等价于检验统计量>criticvalue,也就是拒绝原假设。 请老师指导,B哪里错了?
NO.PZ2017092702000133 问题如下 Whiof the following statements is correwith respeto the p-value? A.It is a less precise measure of test evinthrejection points. B.It is the largest level of significanwhithe null hypothesis is rejecte C.It ccomparerectly with the level of significanin reaching test conclusions. C is correct.When rectly comparing the p-value with the level of significance, it cusealternative to using rejection points to reaconclusions on hypothesis tests. If the p-value is smaller ththe specifielevel of significance, the null hypothesis is rejecte Otherwise, the null hypothesis is not rejecte对于一个分布而言,每个概率面积在横轴上都有一个对应点,例如significanlevel α对应的分位点就是临界值criticvalue(假设正态分布下α=95%,双尾检验,则右尾就会对应criticvalue=1.96)。而p-value也是一个概率面积,对应的点就是计算出来的检验统计量的那个点。所以当p-value<α时,就等价于检验统计量>criticvalue,也就是拒绝原假设。 能不能翻译一下每个?不怎么了解