P-value and sigma consideration
조회 수: 4 (최근 30일)
이전 댓글 표시
I'm using a statistical test on a population of size N. This test returns a p-value which I use to accept or refute the null hypothesis.
Let's say I use a 5 sigma criterium with bilateral consideration, that is p-value 0.999999426696856 and 1 in 1.7 million chance.
The question is: is it obligatory for my population's size to be at least 1.7 million or is the p-value test result independent of the population size?
As an example, for a 2.2 sigma criterium the result is valid only if the population size N >= 36?
댓글 수: 0
채택된 답변
Star Strider
2014년 2월 23일
편집: Star Strider
2014년 2월 23일
As a general rule, the test for ‘statistical significance’ is p < 0.05. That translates to the probability of your results being due to a random process, rather than your design, being < 0.05. (It is necessary to consider your population size, but this should be part of the experimental design and the statistics you choose at that time to evaluate your results. The t-distribution takes this into account.)
The p value itself is independent of the population size, and simply reflects the probability that your population includes a specific value.
댓글 수: 4
Star Strider
2014년 2월 24일
편집: Star Strider
2014년 2월 24일
My pleasure!
I’ll be glad to provide what help I can, especially if you’re just beginning your research.
추가 답변 (0개)
참고 항목
카테고리
Help Center 및 File Exchange에서 Hypothesis Tests에 대해 자세히 알아보기
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!