Linked Questions

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1answer
861 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 ...
2
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1answer
281 views

Working on Confidence Interval and its meaning [duplicate]

Supposed in a population, I take a sample with a size of 1500 to build a 96% confidence interval for the true mean $\mu$. Then such an interval is assumed to range from 6.8 to 8.0. Assume the sample ...
1
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1answer
151 views

Confidence interval interpretation [duplicate]

Why it's said when we estimate a parameter, from 100 confidence intervals, 95 will have the parameter. And why it is incorrect to say that is a 95% probability that the true parameter is in the ...
1
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1answer
125 views

Aren't these statements about confidence intervals equivalent? [duplicate]

I just read the following sentence from Wikipedia: A 95% confidence interval does not mean that for a given realized interval there is a 95% probability that the population parameter lies within ...
5
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0answers
100 views

Does it make sense to speak of probability of a hidden outcome? (context: confidence intervals) [duplicate]

My question is concerning the frequentist approach to probability. Assume that you tossed a coin but don't see the outcome. Does it make sense to say that it shows head with a probability of 0.5? Or ...
0
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1answer
77 views

Why can't we say that the probability of the true parameter being within a 90% confidence interval is 90%? [duplicate]

I've been reading a bit about the confidence intervals on Wikipedia. The section on misunderstandings says: A 95% confidence level does not mean that for a given realized interval there is a 95% ...
-1
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2answers
86 views

Confidence Intervals meaning [duplicate]

Lets say I know population std. deviation $\sigma=5$ and sample size $n=60$. Now lets say my sample mean is $\overline{X}=98$. I already know from central limit theorem that 95% of the time the sample ...
0
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0answers
92 views

How are statistics on scientific papers inferred? [duplicate]

Referring to this question: How should be statistics on scientific papers read?, a kind user explained us how to read the following statement from the original research paper:. Increasing ...
1
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1answer
58 views

Why confidence interval is important when point estimator is close to zero? [duplicate]

When the point estimator is relatively small numbers, a confidence interval is likely to contain zero, be fairly wide and include both positive and negative values. Basically, when CI contains zero ...
1
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0answers
74 views

Interpretation of confidence intervals [duplicate]

CI(p) = (a, b) People sometimes interpret this interval by saying that there is a 95% probability that the true p belongs to (a, b) The statement is incorrect (there is no probability associated ...
2
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0answers
65 views

Difference between 95% of confidence intervals containing mean vs 95% probability of one interval containing the mean? [duplicate]

Given a random sample $x$ and wishing to estimate the value of mean $\mu$ of a population from which $x$ was drawn, I construct a 95% confidence interval $CI_{x}$ using $\mu_{x}$ and $\sigma_{x}$. If ...
1
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1answer
44 views

confidence interval and interpretation[further duplicated] [duplicate]

I've come across the post in relevant topics in the confidence interval, I've seen answer said the population mean is not random variable so we can't say 95% probability that CI contains the ...
0
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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 ...
0
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0answers
35 views

Interpretation of a Confidence Interval [duplicate]

If you compute the 95% CI for a population mean from a given sample, apparently it is taboo to say something like "there is a probability of 0.95 that the true mean lies in this specific CI". Yet ...
0
votes
1answer
33 views

Confidence Level and Interval probability [duplicate]

I understand that the confidence level denotes how reliable is my test and the confidence level is not the probability associated with the confidence interval. This is well explained on Wikipedia:...

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