Linked Questions

4 votes
4 answers
2k views

How can I reduce a very large sample size for statistical significance (sampling methods)? [duplicate]

In my biological study, I have around 14000 independent samples, and I study the evolution of a response variable over time. I have three groups to study. Thus, I have two factors: factor "Group&...
learners's user avatar
  • 579
66 votes
14 answers
23k views

If we fail to reject the null hypothesis in a large study, isn't it evidence for the null?

A basic limitation of null hypothesis significance testing is that it does not allow a researcher to gather evidence in favor of the null (Source) I see this claim repeated in multiple places, but I ...
bkoodaa's user avatar
  • 1,299
69 votes
8 answers
8k views

What is a good, convincing example in which p-values are useful?

My question in the title is self explanatory, but I would like to give it some context. The ASA released a statement earlier this week “on p-values: context, process, and purpose”, outlining various ...
Tal Galili's user avatar
  • 21.6k
28 votes
8 answers
5k views

Why are hypothesis tests still used when we have the bootstrap and central limit theorem?

Why are hypothesis tests still used when we have the bootstrap and central limit theorem? To give context to my question, I briefly go over the central limit theorem and illustrate a simulation ...
stats_noob's user avatar
19 votes
8 answers
3k views

Interpreting non-statistically significant results: Do we have "no evidence" or "insufficient evidence" to reject the null?

When we fail to reject the null hypothesis in hypothesis testing, which of the below is the best interpretation? We have no evidence at our significance level $\alpha$ to reject $H_0$. We have ...
Alex Michael's user avatar
37 votes
5 answers
8k views

Is p-value essentially useless and dangerous to use?

This article "The Odds, Continually Updated" from NY Times happened to catch my attention. To be short, it states that [Bayesian statistics] is proving especially useful in approaching complex ...
SixSigma's user avatar
  • 2,292
15 votes
5 answers
8k views

Are effect sizes really superior to p-values?

Lots of emphasis is placed on relying on and reporting effect sizes rather than p-values in applied research (e.g. quotes further below). But is it not the case that an effect size just like a p-...
rnorouzian's user avatar
  • 3,996
10 votes
6 answers
3k views

How do you know if an insignificant P value is because of chance error or because the sample size of the data is too small?

I have always thought that an insignificant P value is the product of chance causing variation in the data. However when I was watching a talk on a study, the presenter mentioned how the insignificant ...
Ian Moffit's user avatar
32 votes
5 answers
3k views

How should an individual researcher think about the false discovery rate?

I've been trying to wrap my head around how the False Discovery Rate (FDR) should inform the conclusions of the individual researcher. For example, if your study is underpowered, should you discount ...
Richard Border's user avatar
17 votes
4 answers
2k views

Acceptance of null hypothesis

This is a discussion question on the intersection of statistics and other sciences. I often face the same problem: researchers in my field tend to say that there is no effect when the p-value is not ...
German Demidov's user avatar
41 votes
2 answers
9k views

Should we address multiple comparisons adjustments when using confidence intervals?

Suppose we have a multiple comparisons scenario such as post hoc inference on pairwise statistics, or like a multiple regression, where we are making a total of $m$ comparisons. Suppose also, that we ...
Alexis's user avatar
  • 29.9k
9 votes
3 answers
6k views

Understanding $\chi^{2}$ and Cramér's $V$ results

I have two groups of buyers, A and B, and I want to test whether the difference between the percentage of them who would buy a ...
DroppingOff's user avatar
7 votes
2 answers
865 views

Coefficient of 0.001 with p < 0.005 [duplicate]

This should be a simple inquiry. Doing a regression analysis I found that the coefficient of a predictor has a(n) (infinitesimal) positive effect of 0.001 that is significant at the 0.005 level. I ...
another_newbie's user avatar
11 votes
2 answers
825 views

In what settings would confidence intervals not get better as sample size increases?

In a blog post, I have found the claim that "I believe WG Cochrane the first point out (roughly 1970′s) that with confidence intervals in an observational setting, small sample sizes result in ...
jona's user avatar
  • 1,824
16 votes
2 answers
20k views

Is it possible to accept the alternative hypothesis?

I'm aware of several related questions here (e.g., Hypothesis testing terminology surrounding null, Is it possible to prove a null hypothesis?) but I don't know the definitive answer for my question ...
ckcn's user avatar
  • 161

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