Cited by 4,135Probability and Statistical ResearchStatistical Distribution Estimation and ApplicationsAdvanced Statistical Methods and Models

THE GENERALIZATION OF ‘STUDENT'S’ PROBLEM WHEN SEVERAL DIFFERENT POPULATION VARLANCES ARE INVOLVED

WELCH, B. L.·1947·Biometrika

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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Crossref · 10.1093/biomet/34.1-2.28

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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.”
  • 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).”

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Authors
WELCH, B. L.
Corresponding author
WELCH, B. L.
Venue
Biometrika
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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