Linked Questions
10 questions linked to/from Formal definition of p-value
9
votes
5
answers
1k
views
Why is the p-value defined the way it is (as opposed to a more intuitive measure)?
As I understand it the p-value for some hypothesis H and some test-statistic T is defined as the probability of observing a test-statistic T' which is at least as extreme as T, conditional on H being ...
- 101
15
votes
4
answers
25k
views
Difference/relationship between power and significance
What is the conceptual difference between statistical power and statistical significance?
Are they the same? Is one used for the other?
- 3,123
23
votes
3
answers
65k
views
How can I get a significant overall ANOVA but no significant pairwise differences with Tukey's procedure?
I performed with R an ANOVA and I got significant differences. However when checking which pairs were significantly different using the Tukey's procedure
I did not get any of them.
How can this be ...
- 1,703
14
votes
5
answers
2k
views
Does p-value ever depend on the alternative?
Our tag definition of the $p$-value says
In frequentist hypothesis testing, the $p$-value is the probability of a result as extreme (or more) than the observed result, under the assumption that the ...
- 63.6k
7
votes
3
answers
1k
views
Why does $\mu > 0$ (or even $\mu > \epsilon$) "seem easier” to substantiate than $\mu \neq 0$?
Consider a random variable $X$ following a normal distribution $N(\mu,\sigma^2)$. Suppose that we have drawn iid samples of $X$, obtaining a data set with a sample mean $\bar{x}>0$.
We want to test ...
- 128
6
votes
6
answers
3k
views
Comparing two, or more, independent paired t-tests
Can we compare the results from two, or more, independent paired t-tests?
For example: I want to test if drug 1 and drug 2 are effective to reduce weight. I have a control group (that will consume a ...
- 117
2
votes
1
answer
3k
views
R Tukey HSD Anova: Anova significant, Tukey not? [duplicate]
i created a simple anova with three groups in R and get a significant Result. After that i do a Tukey HSD Test and now nothing is significant. How can that be?
Pr(>F): 0.0316
Group | p adj
1 - 2 ...
- 21
9
votes
1
answer
2k
views
Surprising behavior of the power of Fisher exact test (permutation tests)
I met a paradoxical behavior of so-called "exact tests" or "permutation tests", the prototype of which is Fisher test. Here it is.
Imagine you have two groups of 400 individuals (e.g. 400 control vs ...
- 12.4k
3
votes
2
answers
337
views
Relationship of significance level and p-values
In a hypothesis test, the null hypothesis $H_0$ is rejected in favor of $H_1$ if $|\bar X|>\mu$.
When tests found that $\bar x$ is the mean of the samples, a p-value is computed using
$$
p=\Pr(|\...
- 601
2
votes
1
answer
1k
views
Which statistical analysis should I perform if the data sets are not normally distributed?
I am doing an experiment where there are two independent groups; one is the group of "infected" patients another is the group of "sepsis" patients. I am comparing "platelet monocyte aggregates(PMA)" ...
