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A "Rationalized" Arcsine Transform
Abstract
Arcsine or angular transformations have been used for many years to transform proportions to make them more suitable for statistical analysis. A problem with such transformations is that the arcsines do not bear any obvious relationship to the original proportions. For this reason, results expressed in arcsine units are difficult to interpret. In this paper a simple linear transformation of the arcsine transform is suggested. This transformation produces values that are numerically close to the original percentage values over most of the percentage range while retaining all of the desirable statistical properties of the arcsine transform.
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Citations
Cited by
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Bradlow, A. R., & Bent, T. (2008) · Cognition · doi:10.1016/j.cognition.2007.04.005 · Cited by 906
Füllgrabe, C., Moore, B. C. J., & Stone, M. A. (2015) · Frontiers in Aging Neuroscience · doi:10.3389/fnagi.2014.00347 · Cited by 527
Speech‐perception‐in‐noise deficits in dyslexia
Ziegler, J. C., Pech‐Georgel, C., George, F., & Lorenzi, C. (2009) · Developmental Science · doi:10.1111/j.1467-7687.2009.00817.x · Cited by 293
Effects of consonant environment on vowel formant patterns
Hillenbrand, J. M., Clark, M. J., & Nearey, T. M. (2001) · The Journal of the Acoustical Society of America · doi:10.1121/1.1337959 · Cited by 277
Blank, H., & Davis, M. H. (2016) · PLOS Biology · doi:10.1371/journal.pbio.1002577 · Cited by 181
Metadata
- Authors
- Studebaker, G. A.
- Venue
- Journal of Speech, Language, and Hearing Research
- Published
- 1985-09
- Volume
- 28
- Issue
- 3
- Pages
- 455-462
- ISSN
- 1092-4388 (ISSN-L)
- 1558-9102
- OpenAlex
- W1975346954
- Cited by
- 1,479
- References
- 0
- FWCI
- 1.50
- Type
- journal article
- Language
- en
- Open access
- closed
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- Studebaker, G. A. (1985). A "Rationalized" Arcsine Transform. Journal of Speech, Language, and Hearing Research. https://doi.org/10.1044/jshr.2803.455
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