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- What does fiducial mean (in the context of statistics)?
Well, I don't belong to the select intended audience that could benefit for what I've found on the subject, and maybe this explains why every one of my attempts to understand what Fisher meant by "fiducial" has crashed against a wall of incomprehensible gibberish
- What is the fiducial argument and why has it not been accepted?
The fiducial argument has not been accepted because the idea doesn't work The fiducial distribution is disguised as something that looks like a probability distribution (and people might have wanted it to behave like a probability distribution) but it is not the same as a probability distribution
- Understanding the Behrens–Fisher problem - Cross Validated
That is what led to fiducial inference A Link to the Savage article The Biography by Fisher's daughter Joan Fisher Box R A Fisher An Appreciation, Hinkley and Feinberg editors A book by Erich Lehmann about Fisher and Neyman and the birth of Classical Statistics This is a link to an earlier post that I commented on that you also posted
- Multiple comparisons with p-value corrections of fiducial limits?
We originally discussed differences based on non-overlapping fiducial limits, but a reviewer requested formal testing with correction for multiple comparisons How'd you address this request?
- Doing maximum p-value estimation instead of maximum likelihood
Whenever we do maximum likelihood estimation, we look for the parameters that maximize the probability density of the data On the other hand, when we compute p-values, we look at the tail probabil
- Compare 90th percentiles of two samples (confidence interval, test)
Interpret the fiducial distributions as probabilitiy distributions (this is an approximation, the fiducial distribution does not behave exactly like a probability distribution) and compute the probabilities for the joint probabilities of the two parameters percentiles to be inside the 2-d bins cells created by the grid
- Whats the difference between a confidence interval and a credible . . .
Joris and Srikant user28's exchange here got me wondering (again) if my internal explanations for the difference between confidence intervals and credible intervals were the correct ones How you
- Revisiting the Rule of Three - Cross Validated
The image below is how I look at confidence intervals It is an adaptation from an image in the answer to the question ' The basic logic of constructing a confidence interval ', which is itself an adaptation of "The Use of Confidence or Fiducial Limits Illustrated in the Case of the Binomial C J Clopper and E S Pearson Biometrika Vol 26, No 4 (Dec , 1934), pp 404-413" For instance
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