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Statistics notes: Transformations, means, and confidence intervals: Fig 1
Open accessAbstract
When we use transformed data in analyses,1 this affects the final estimates that we obtain. Figure 1 shows some serum triglyceride measurements, which have a skewed distribution. A logarithmic transformation is often useful for data which have positive skewness like this, and here the approximation to a normal distribution is greatly improved. For the untransformed data the mean is 0.51 mmol/l and the standard deviation 0.22 mmol/l. The mean of the log10 transformed data is -0.33 and the standard deviation is 0.17. If we take the mean on the transformed scale and back transform by taking the antilog, we get …
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Cited by
Ramsey, S. D., Willke, R. J., Glick, H., Reed, S. D., Augustovski, F., Jonsson, B., Briggs, A., & Sullivan, S. D. (2015) · Value in Health · doi:10.1016/j.jval.2015.02.001 · Cited by 811
How to address non-normality: a taxonomy of approaches, reviewed, and illustrated
Pek, J., Wong, O., & Wong, A. C. M. (2018) · Frontiers in Psychology · doi:10.3389/fpsyg.2018.02104 · Cited by 307
Fast‐Food Restaurant Advertising on Television and Its Influence on Childhood Obesity
Chou, S., Rashad, I., & Grossman, M. (2008) · The Journal of Law and Economics · doi:10.1086/590132 · Cited by 303
te Poel, F., Baumgartner, S. E., Hartmann, T., & Tanis, M. (2016) · Journal of Anxiety Disorders · doi:10.1016/j.janxdis.2016.07.009 · Cited by 172
Wallace, P., Murray, E., McCambridge, J., Khadjesari, Z., White, I. R., Thompson, S. G., Kalaitzaki, E., Godfrey, C., & Linke, S. (2011) · PLoS ONE · doi:10.1371/journal.pone.0014740 · Cited by 114
Metadata
- Authors
- Bland, J. M., & Altman, D. G.
- Venue
- BMJ
- Publisher
- BMJ
- Published
- 1996-04-27
- Volume
- 312
- Issue
- 7038
- Pages
- 1079
- ISSN
- 0007-1447 (ISSN-L)
- 0959-8138
- 1468-5833
- OpenAlex
- W146893853
- Cited by
- 423
- References
- 0
- FWCI
- 1.58
- Type
- journal article
- Language
- en
- Open access
- bronze
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