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3 votes
1 answer
143 views

Suitable method to estimate confidence intervals for an extreme order statistic

I have a sampling distribution generated by computing the maximum across many samples. I'd now like to generate an estimate for what the true maximum parameter is within the population I sampled from. ...
turtle's user avatar
  • 517
3 votes
0 answers
2k views

How to calculate confidence intervals using subsampling after a nonparametric estimator about the empirical distribution function?

I have a problem where I think subsampling is more appropriate than the bootstrap. (Reason in another post.) However, I found no quick reference on subsampling CIs, and my naive inversion of the ...
László's user avatar
  • 987
12 votes
0 answers
1k views

Computing a bootstrap confidence interval for the prediction error with the percentile and the BCa method

I have two related questions regarding the computation of a non-parametric bootstrap confidence interval for the prediction error. Setting: I have a sample S from a data population P and a learner L, ...
Gitte's user avatar
  • 825
3 votes
0 answers
266 views

How do you think about the central estimate when the confidence interval is asymmetric?

I'm using a wild bootstrap to create confidence intervals around fitted values of the following model, for a specific combination of the factors, as x varies across its range. ...
generic_user's user avatar
  • 13.5k
2 votes
0 answers
831 views

References for methods for calculating the confidence interval for Theil-Sen Estimator

For the Theil-Sen estimator I am aware of two principal methods for obtaining confidence intervals: The zyp R-package documentation uses: The confidence interval on the slope is calculated using ...
Erwin's user avatar
  • 21
15 votes
0 answers
469 views

Penalized spline confidence intervals based on cluster-sandwich VCV

This is my first post here, but I've benefited a lot from this forum's results popping up in google search results. I've been teaching myself semi-parametric regression using penalized splines. ...
generic_user's user avatar
  • 13.5k
3 votes
1 answer
9k views

Comparison between bootstrap percentiles confidence interval and BCa confidence interval?

I have generated a nonparametric percentiles bootstrap confidence interval ($32.27143, 51.08571$), and a BCA confidence interval ($33.26, 53.49$) with an initial sample size of $n=7$. Evidently, the ...
Sildona Ristani's user avatar
1 vote
0 answers
35 views

How to understand a note for the distribution of the sample for confidence interval?

From Wikipedia for confidence interval, there is a note for the distribution of the sample: Note that here $Pr_{θ,φ}$ need not refer to an explicitly given parameterised family of distributions, ...
Tim's user avatar
  • 19.6k
3 votes
1 answer
460 views

Lower bound for non-parametric data, with a tolerance margin?

I have a set of data, which, from an initial test, is expected to be non-normal. My initial test shows a cluster of data gathered around 90, and another cluster gathered around 120. Neither cluster ...
Bossykena's user avatar
  • 687
2 votes
2 answers
4k views

What is the correct SD to use to get a 95% CI for skewed data?

Let $X = [94, 10, 100, 100, 16, 14, 100, 100, 70, 88, 100, 100, 12, 100, 100, 58, 32, 100, 32, 36, 98, 0, 100, 100, 100]$ where $X$ are students' scores (between 0 and 100), and note many full marks! ...
deepML's user avatar
  • 331
2 votes
2 answers
2k views

Calculating the confidence interval for nonparametric count data? (Is it possible in GraphPad Prism?)

My data is count data. What I did is identifying if embryos had (yes = 1) or not (no = 0) malformations or delay in their development, within samples of 15 embryos. In one type of experiment, I ...
mdelsolk's user avatar
24 votes
3 answers
47k views

How can I calculate the confidence interval of a mean in a non-normally distributed sample?

How can I calculate the confidence interval of a mean in a non-normally distributed sample? I understand bootstrap methods are commonly used here, but I am open to other options. While I am looking ...
fmark's user avatar
  • 4,987

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