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Statistics Notes: Detecting skewness from summary information: Table 1
Open accessAbstract
The measurement of airway resistance by the interrupter technique (Rint) needs standardization. Should measurements be made be during the expiratory or inspiratory phase of tidal breathing? In reported studies, the measurement of Rint has been calculated as the median or mean of a small number of values, is there an important difference? Subjects were 2.5–5.0 yrs (median 4.0 yrs) who had previous respiratory symptoms. The Rint in expiration (RintE) and inspiration (RintI) pre and postsalbutamol, the coefficient of variation (CV) of values contributing to measurements, and bronchodilator responsiveness (BDR) in both phases were compared. Measurements using median and mean were compared. RintE was higher than RintI by 4% (p<0.01). The CV of values making up RintE and RintI, and BDR measured in expiration and inspiration were similar. The median difference between means and medians of values making up measurements was 0.6% (range −6–11%). RintE has been shown to be consistently greater then RintI but the difference in this study is small. It is suggested that one or the other is chosen as the standard. In the present data the mean of a set of values contributing to a measurement was not significantly different from the median. However, the use of the median has been recommended since it is less affected by possible outlying values such as might be included by fully automated equipment.
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“when a scale starts from the finite number zero, the standard deviation, when multiplied by two, is less than the mean (as otherwise the mean is unlikely to be an appropriate measure of the centre of the distribution (Altman 1996)”
From Compulsory community and involuntary outpatient treatment for people with severe mental disorders. (2017) · cites this paper as Altman 1996
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Statistics notes: The normal distribution
Altman, D. G., & Bland, J. M. (1995) · BMJ · doi:10.1136/bmj.310.6975.298 · Cited by 549
Statistics Notes: Transforming data
Bland, J. M., & Altman, D. G. (1996) · BMJ · doi:10.1136/bmj.312.7033.770 · Cited by 297
Statistics Notes: Quartiles, quintiles, centiles, and other quantiles
Altman, D. G., & Bland, M. (1994) · BMJ · doi:10.1136/bmj.309.6960.996 · Cited by 181
Effects of Environmental Tobacco Smoke on Urinary Cotinine Excretion in Nonsmokers
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“Cochrane Database of Systematic Reviews R E F E R E N C E S Additional references Altman 1996 Altman DG, Bland JM. Detecting skewness from summary information.”
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“Finally, if the ratio is larger than two we will include these data, because it is less likely that they are skewed (Altman 1996).”
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“For a scale that starts from zero, an SD that is more than half of the mean value suggests skewness, while an SD that is more than the full mean value is considered strong evidence of a skewed distribution (Altman 1996).”
Benić, M. S., Giljača, V., Belančić, A., Kadić, A. J., & Vlahović-Palčevski, V. (2025) · EClinicalMedicine · doi:10.1016/j.eclinm.2025.103320 · Cited by 2
“We assessed the distribution of data by calculating the highest possible value minus the observed mean, and dividing this by the SD. 44 The heterogeneity was assessed across the included studies using the visual inspection of the forest plot and Chi 2 test.”
Metadata
- Authors
- Altman, D. G., & Bland, J. M.
- Affiliations
- University of Oxford (GB)
- ORCID
- Altman, Douglas G
- Venue
- BMJ
- Publisher
- BMJ
- Published
- 1996-11-09
- Volume
- 313
- Issue
- 7066
- Pages
- 1200.1
- ISSN
- 0007-1447 (ISSN-L)
- 0959-8138
- 1468-5833
- PMC
- PMC2352469
- OpenAlex
- W1591259115
- Cited by
- 1,278
- References
- 4
- Citations by year
- 2026: 10 · 2025: 18 · 2024: 26 · 2023: 24 · 2022: 31 · 2021: 33 · 2020: 43 · 2019: 48 · 2018: 54 · 2017: 65 · 2016: 70 · 2015: 72 · 2014: 79 · 2013: 70 · 2012: 87
- FWCI
- 5.62
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- www.bmj.com/company/legal-information/terms-conditions/legal-information/tdm-licencepolicy (tdm)
- Locations
- BMJ (publishedVersion)
- PubMed Central (publishedVersion)
- PubMed (publishedVersion)
- Topics
- Health Sciences › Medicine › Pulmonary and Respiratory Medicine › Asthma and respiratory diseases
- Health Sciences › Medicine › Pulmonary and Respiratory Medicine › Chronic Obstructive Pulmonary Disease (COPD) Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods in Epidemiology
- Keywords
- airway resistance, interrupter technique, coefficient of variation, bronchodilator responsiveness, salbutamol, pediatric respiratory symptoms, measurement standardization, skewness
- MeSH terms
- Analysis of Variance
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