THE PROBABLE ERROR OF A MEAN
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A t-test and effect size analysis reveal statistically significant differences between the parametric and non-parametric categories, with the non-parametric subset showing much greater variability.
“A t-test (Student, 1908) and effect size analysis (Cohen, 1988) (p-value=1.60e-4, Cohen's d=0.9851), as shown in Figure 3, reveal statistically significant differences between these two categories, with the non-parametric subset showing much greater variability.”
From Deciphering the Interplay of Parametric and Non-parametric Memory in Retrieval-augmented Language Models (2024) · cites this paper as Student, 1908
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- Authors
- Student
- Corresponding author
- Student
- Venue
- Biometrika
- Publisher
- JSTOR
- Published
- 1908-03
- Volume
- 6
- Issue
- 1
- Pages
- 1
- ISSN
- 0006-3444 (ISSN-L)
- OpenAlex
- W4205110562
- Cited by
- 1,363
- References
- 0
- Citations by year
- 2026: 40 · 2025: 40 · 2024: 85 · 2023: 38 · 2022: 40 · 2021: 37 · 2020: 32 · 2019: 78 · 2018: 99 · 2017: 79 · 2016: 98 · 2015: 73 · 2014: 64 · 2013: 40 · 2012: 50
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrika (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- probable error, mean, sampling error, standard errors, confidence limits
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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