Linked Questions

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1answer
37 views

Difference in CI Interpretations? [duplicate]

So the interpretation of a 95% CI is that there is a 95% probability that the CI contains the true parameter value, but not that there is a 95% probability that the true parameter lies in the CI? Can ...
3
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2answers
117 views

Pick a card, any card: understanding the frequentist interpretation of a confidence interval

I've been trying to wrap my head around the oft-quoted misconceptions surrounding the frequentist interpretation of a confidence interval. There are many questions on Cross Validated and many ...
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1answer
103 views

Confidence interval deeper explanation? [duplicate]

I have some data on a drug where doctors are trying to find out based on collected data how many patients get heart disease because of a drug. The output is the following: 95%CI 1.72(1.28-2.30) for ...
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2answers
311 views

Does a confidence interval carry some extra error for non perfectly normal distributions?

I'm not trying to nitpick but I always want to make sure with stats that I clearly understand the delimitation between exact/theoretical measurements and "real life" measurements. Let's say for ...
31
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5answers
7k views

What do confidence intervals say about precision (if anything)?

Morey et al (2015) argue that confidence intervals are misleading and there are multiple bias related to understanding of them. Among others, they describe the precision fallacy as following: The ...
2
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1answer
859 views

What is the fundamental confidence interval fallacy? [duplicate]

Beginner question here. I've read (see this paper) that when computing confidence intervals if you get a given interval with a confidence level of 95%, then it is a fallacy to think that the true ...
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0answers
23 views

Confidence intervals: how do we have to interpret them? [duplicate]

I have a very basic question regarding confidence intervals. I am confused between two interpretations of confidence intervals. Interpretation 1: If repeated samples were taken and the 95% ...
23
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5answers
20k views

Now that I've rejected the null hypothesis what's next?

I've time and again rejected or failed to reject the null hypothesis. In the failure to reject case, you conclude that there isn't sufficient evidence for rejection and you "move on" (i.e., either ...
4
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3answers
7k views

Hypothesis testing for a correlation that is zero or negative

I would like to test for a correlation that is zero or negative using the following hypothesis test: $H_0: p>0$ (Null hypothesis: the correlation is positive) $H_A: p\le0$ (Alternative hypothesis: ...
2
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1answer
10k views

Confidence intervals for regression interpretation

I have done linear regression and plotted the data, the regression line and also the confidence interval (for 95% confidence). However it seems that most of the data points fall outside the ...
5
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1answer
2k views

Confidence interval for Uniform($\theta$, $\theta + a$)

I am encountering a difficulty with the following task. Have I made a mistake, or is this an inherent flaw in the notion of confidence intervals? (Other such flaws exist.) Consider a random sample $...
2
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3answers
1k views

Multiple testing and logistic regression

I want to perform a number of univariate regressions with different symptoms (e.g. fever, cough, sneezing) as the response variable and one categorical variable (which is always the same each time) as ...
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0answers
160 views

Confidence Interval for the Population

My (basic) understanding of a 95% confidence interval is that it is the interval within which the sample mean would fall 95 times should you take 100 random samples from the population. My query is ...
6
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2answers
1k views

Interpreting a confidence interval.

If someone asks me to interpret the confidence interval (say at the level of a first graduate course in statistics) -- are there typical templates for such an interpretation. By typical templates I ...
6
votes
2answers
2k views

Putting a confidence interval on the mean of a very rare event

I'm simulating an extremely rare event (the detection of weighted photon packets in a highly absorbing material). For example, I may simulate the transmission of 1e9 photons and only detect 10 of them ...

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