A Test of Goodness of Fit
Abstract
Some (large sample) significance points are tabulated for a distribution-free test of goodness of fit which was introduced earlier by the authors. The test, which uses the actual observations without grouping, is sensitive to discrepancies at the tails of the distribution rather than near the median. An illustration is given, using a numerical example used previously by Birnbaum in illustrating the Kolmogorov test.
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Anderson-Darling goodness-of-fit tests of normality confirmed that log-transformed interaction times were conditionally normally distributed (p ≈ .117).
“Anderson-Darling goodness-of-fit tests of normality [3] confirmed that log-transformed interaction times were conditionally normally distributed (𝑝 ≈ .117).”
From Understanding and Improving Drilled-Down Information Extraction from Online Data Visualizations for Screen-Reader Users (2023) · cites this paper as [3]
Interaction times were conditionally non-normal, determined using Anderson-Darling tests of normality.
“Our preliminary analysis showed that the interaction times were conditionally non-normal, determined using Anderson-Darling [4] tests of normality.”
From VoxLens: Making Online Data Visualizations Accessible with an Interactive JavaScript Plug-In (2022) · cites this paper as [4]
Cites
Asymptotic Theory of Certain "Goodness of Fit" Criteria Based on Stochastic Processes
Anderson, T. W., & Darling, D. A. (1952) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177729437 · Cited by 3,542 · see citing works
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The Hitchhiker’s Guide to Testing Statistical Significance in Natural Language Processing
Dror, R., Baumer, G., Shlomov, S., & Reichart, R. (2018) · Proceedings of the 56th Annual Meeting of the Association for Computational Linguistics (Volume 1: Long Papers) · doi:10.18653/v1/p18-1128 · Cited by 384 · see citing works
Sleep deprivation potentiates HPA axis stress reactivity in healthy adults.
Minkel, J., Moreta, M., Muto, J., Htaik, O., Jones, C., Basner, M., & Dinges, D. (2014) · Health Psychology · doi:10.1037/a0034219 · Cited by 261 · see citing works
A spatially resolved brain region- and cell type-specific isoform atlas of the postnatal mouse brain
Joglekar, A., Prjibelski, A., Mahfouz, A., Collier, P., Lin, S., Schlusche, A. K., Marrocco, J., Williams, S. R., Haase, B., Hayes, A., et al. (2021) · Nature Communications · doi:10.1038/s41467-020-20343-5 · Cited by 229 · see citing works
Relations between soil hydraulic properties and burn severity
Moody, J. A., Ebel, B. A., Nyman, P., Martin, D. A., Stoof, C., & McKinley, R. (2016) · International Journal of Wildland Fire · doi:10.1071/wf14062 · Cited by 122 · see citing works
VoxLens: Making Online Data Visualizations Accessible with an Interactive JavaScript Plug-In
Sharif, A., Wang, O. H., Muongchan, A. T., Reinecke, K., & Wobbrock, J. O. (2022) · CHI Conference on Human Factors in Computing Systems · doi:10.1145/3491102.3517431 · Cited by 86 · see citing works
Understanding Screen-Reader Users’ Experiences with Online Data Visualizations
Sharif, A., Chintalapati, S. S., Wobbrock, J. O., & Reinecke, K. (2021) · Proceedings of the 23rd International ACM SIGACCESS Conference on Computers and Accessibility · doi:10.1145/3441852.3471202 · Cited by 85 · see citing works
Lawler, S. M., Kavelaars, J. J., Alexandersen, M., Bannister, M. T., Gladman, B., Petit, J.-M., & Shankman, C. (2018) · Frontiers in Astronomy and Space Sciences · doi:10.3389/fspas.2018.00014 · Cited by 61 · see citing works
Brubaker, L. B., Higuera, P. E., Rupp, T. S., Olson, M. A., Anderson, P. M., & Hu, F. S. (2009) · Ecology · doi:10.1890/08-0797.1 · Cited by 43 · see citing works
Sharif, A., Zhang, A. M., Reinecke, K., & Wobbrock, J. O. (2023) · 20th International Web for All Conference · doi:10.1145/3587281.3587284 · Cited by 21 · see citing works
“Anderson-Darling goodness-of-fit tests of normality [3] confirmed that log-transformed interaction times were conditionally normally distributed (p ≈ .”
BackgroundStevens, J., Bryant, M., Wang, C.-H., Cai, J., & Bentley, M. E. (2012) · The Journal of Nutrition · doi:10.3945/jn.111.150060 · Cited by 10 · see citing works
An instructive inter-laboratory comparison: The 1988 radiocarbon dating of the Shroud of Turin
Walsh, B., & Schwalbe, L. (2020) · Journal of Archaeological Science: Reports · doi:10.1016/j.jasrep.2019.102015 · Cited by 8 · see citing works
- Authors
- Anderson, T. W., & Darling, D. A.
- Affiliations
- University of Michigan (US)
- Venue
- Journal of the American Statistical Association
- Publisher
- Informa UK Limited
- Published
- 1954-12
- Volume
- 49
- Issue
- 268
- Pages
- 765-769
- ISSN
- 0162-1459 (ISSN-L)
- 1537-274X
- OpenAlex
- W4251428492
- Cited by
- 2,450
- References
- 1
- Citations by year
- 2026: 142 · 2025: 183 · 2024: 169 · 2023: 143 · 2022: 132 · 2021: 161 · 2020: 153 · 2019: 152 · 2018: 129 · 2017: 140 · 2016: 111 · 2015: 111 · 2014: 97 · 2013: 94 · 2012: 57
- FWCI
- 3.29
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of the American Statistical Association (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Advanced Statistical Process Monitoring
- Keywords
- goodness-of-fit tests, nonparametric tests, Kolmogorov-Smirnov test, large-sample asymptotics
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