THE GENERALIZATION OF ‘STUDENT'S’ PROBLEM WHEN SEVERAL DIFFERENT POPULATION VARLANCES ARE INVOLVED
Abstract
B. L. WELCH, B.A., PH.D.; THE GENERALIZATION OF ‘STUDENT'S’ PROBLEM WHEN SEVERAL DIFFERENT POPULATION VARLANCES ARE INVOLVED, Biometrika, Volume 34, Issue 1-2,
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A substantial majority of opinion transitions in LODAS simulations are significantly different from the random baseline (p < 0.05).
“A substantial majority of opinion transitions in LODAS simulations are significantly different from the random baseline, confirming that the observed behaviours are not attributable to randomness.”
From Selective agreement, not sycophancy: investigating opinion dynamics in LLM interactions (2025) · cites this paper as [50]
Human-written reviews outperform LLM-generated ones across 3 out of 4 aspects with statistically significant differences.
“The results show that human-written reviews outperform LLM-generated ones across 3 out of 4 aspects with statistically significant differences measured by Welch's t-test (Welch, 1947).”
From The Good, the Bad and the Constructive: Automatically Measuring Peer Review's Utility for Authors (2025) · cites this paper as Welch, 1947
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“The results show that human-written reviews outperform LLM-generated ones across 3 out of 4 aspects with statistically significant differences measured by Welch’s t-test (Welch, 1947).”
- Authors
- WELCH, B. L.
- Corresponding author
- WELCH, B. L.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1947
- Volume
- 34
- Issue
- 1-2
- Pages
- 28-35
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2062989416
- Cited by
- 4,135
- References
- 0
- Citations by year
- 2026: 202 · 2025: 211 · 2024: 203 · 2023: 208 · 2022: 178 · 2021: 303 · 2020: 311 · 2019: 235 · 2018: 235 · 2017: 194 · 2016: 188 · 2015: 215 · 2014: 192 · 2013: 172 · 2012: 140
- FWCI
- 4.57
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrika (publishedVersion)
- PubMed (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 › Advanced Statistical Methods and Models
- Keywords
- Welch's t-test, Student's t-test, heteroscedasticity, hypothesis testing
- MeSH terms
- Humans, Population
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