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42 votes
2 answers
6k views

Is there a reliable nonparametric confidence interval for the mean of a skewed distribution?

Very skewed distributions such as the log-normal do not result in accurate bootstrap confidence intervals. Here is an example showing that the left and right tail areas are far from the ideal 0.025 ...
Frank Harrell's user avatar
6 votes
1 answer
2k views

Plotting non-parametric (E)CDF confidence envelopes for comparison

I have previously asked about a way to test whether two samples are drawn from the same distribution (Non-parametric test if two samples are drawn from the same distribution). I was very glad to learn ...
Luke Gorrie's user avatar
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
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
11 votes
1 answer
14k views

How is the confidence interval built when executing the Wilcoxon.test in R?

I want to calculate the confidence interval around the median obtained from this data set: ...
hector's user avatar
  • 283
9 votes
1 answer
3k views

Confidence intervals for Kendall's tau

I am working on some stats coursework, and have non parametric bivariate data. n=19, so small sample. There are a number of tied ranks, so I'm planning to use Kendall's tau rather than Spearman's rho, ...
Millie's user avatar
  • 91
4 votes
2 answers
6k views

Is it possible to calculate a confidence interval related to a significant p value from the kruskal wallis test?

I have run the nonparametric Kruskal Wallis test with pairwise comparisons in SPSS to understand if my 3 groups of survey participants were different in their responses to a range of 5 point ordinal ...
ashamc's user avatar
  • 53
2 votes
1 answer
714 views

How to construct a confidence interval of the mean, when the distribution is unknown and the sample is small?

I'm looking for the preferred approach to construct a finite sized confidence interval for the population mean, assuming: The distribution of the population is unknown The sample size is low The ...
Guillaume F.'s user avatar
3 votes
1 answer
664 views

How to estimate the confidence interval of the difference of means?

I have two sets of measurements (repeated measurements of two processes, let's call them $X=\{X_i\}_{0...n}$ and $Y=\{Y_i\}_{0...m}$), and I would like to estimate (with confidence interval) the ...
Etienne Membrives's user avatar
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
1 vote
1 answer
3k views

Confidence Interval (CI) calculation of Monte Carlo-simulated non-normal data

I’m trying to identify the 95% confidence interval of either the mean or the median of non-normal data generated through Monte Carlo simulations using R. I’ve already applied both the bootstrapping ...
AnnaMc17's user avatar