The transformation of poisson, binomial and negative-binomial data
Abstract
F. J. ANSCOMBE; THE TRANSFORMATION OF POISSON, BINOMIAL AND NEGATIVE-BINOMIAL DATA, Biometrika, Volume 35, Issue 3-4, 1 December 1948, Pages 246–254, https://do
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Word and phrase counts are normalized by each subject's total word use and Anscombe transformed for variance stabilization.
“All word and phrase counts are normalized by each subject's total word use (), and we apply the Anscombe transformation [71] to the normalized values for variance stabilization”
From Personality, Gender, and Age in the Language of Social Media: The Open-Vocabulary Approach (2013) · cites this paper as [71]
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Two new properties of mathematical likelihood
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The Statistical Analysis of Variance-Heterogeneity and the Logarithmic Transformation
Bartlett, M. S., & Kendall, D. G. (1946) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.2307/2983618 · Cited by 470 · see citing works
The Square Root Transformation in Analysis of Variance
Bartlett, M. S. (1936) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.2307/2983678 · Cited by 349 · see citing works
Beall, G. (1942) · Biometrika · doi:10.1093/biomet/32.3-4.243 · Cited by 76 · see citing works
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Personality, Gender, and Age in the Language of Social Media: The Open-Vocabulary Approach
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Kriegeskorte, N., & Wei, X.-X. (2021) · Nature Reviews Neuroscience · doi:10.1038/s41583-021-00502-3 · Cited by 187 · see citing works
Analytic Pearson residuals for normalization of single-cell RNA-seq UMI data
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Genetics of the human microglia regulome refines Alzheimer’s disease risk loci
Kosoy, R., Fullard, J. F., Zeng, B., Bendl, J., Dong, P., Rahman, S., Kleopoulos, S. P., Shao, Z., Girdhar, K., Humphrey, J., et al. (2022) · Nature Genetics · doi:10.1038/s41588-022-01149-1 · Cited by 168 · see citing works
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Bendl, J., Hauberg, M. E., Girdhar, K., Im, E., Vicari, J. M., Rahman, S., Fernando, M. B., Townsley, K. G., Dong, P., Misir, R., et al. (2022) · Nature Neuroscience · doi:10.1038/s41593-022-01166-7 · Cited by 65 · see citing works
Normalization for sampled count data
Booeshaghi, A. S., Hallgrímsdóttir, I. B., Gálvez-Merchán, Á., & Pachter, L. (2022) · doi:10.1101/2022.05.06.490859 · Cited by 39 · see citing works
- Authors
- ANSCOMBE, F. J.
- Affiliations
- Rothamsted Research (GB)
- Corresponding author
- ANSCOMBE, F. J.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1948
- Volume
- 35
- Issue
- 3-4
- Pages
- 246-254
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2021262032
- Cited by
- 1,300
- References
- 6
- Citations by year
- 2026: 19 · 2025: 10 · 2024: 23 · 2023: 32 · 2022: 34 · 2021: 66 · 2020: 52 · 2019: 52 · 2018: 62 · 2017: 55 · 2016: 57 · 2015: 55 · 2014: 60 · 2013: 68 · 2012: 51
- FWCI
- 3.12
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Biometrika (publishedVersion)
- HighWire Press Open Archive (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Bayesian Inference
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Keywords
- Poisson distribution, binomial distribution, negative binomial distribution, data transformation, count data, variance stabilizing transformation, logarithmic transformation
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