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1 vote
0 answers
78 views

Nonparametric confidence interval for the mean: Failure to reproduce formula from Zhou & Dinh (2005)

Zhou & Dinh (2005) propose the following formula for a $(1 - \alpha)100\%$ confidence interval for the mean of one sample. The confidence interval is based on a transformation of the $t$-statistic:...
COOLSerdash's user avatar
  • 30.9k
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
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
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