参数假设检验中统计量的选取问题

Selection of the statistics in parameter hypothesis test

假设检验是一类在农业生产及科学研究中应用非常广泛的基本统计方法.在进行参数的假设检验时,对同一参数的检验过程中,一般可供选择的检验统计量是不唯一的,此时就需要选择检验结果最优的统计量.在概率论与数理统计课程的学习中,这正是学生会提出疑问的难点问题.以实际问题为例,就2种不同情况,具体讨论了应如何选择较好的检验统计量.

Hypothesis testing is a kind of basic statistical method which is widely used in agricultural production and scientific research.When the hypothesis test of parameters is carried out,generally,the test statistics are not unique in the test process of the same parameter,so it is necessary to select the statistics with the optimal test results.Thr-ough the study of probability theory and mathematical statistics,it is exactly the difficult problem that the students will raise questions.Taking practical problems as examples,discusses how to choose better test statistics for two different cases.