Which measures of skewness and kurtosis are best?
- PMID: 1609174
- DOI: 10.1002/sim.4780110306
Which measures of skewness and kurtosis are best?
Abstract
Indices of distributional shape based on linear combinations of order statistics have recently been described by Hosking. Their usefulness as tools for practical data analysis is examined. They are found to have several advantages over the conventional indices of skewness and kurtosis (square root of b1 and b2) and no serious drawbacks. It is proposed, therefore, that they should replace square root of b1 and b2 in routine data analysis. To implement this suggestion, action by the developers of standard statistical software is needed.
Similar articles
-
Kurtosis and skewness of density histograms on inspiratory and expiratory CT scans in smokers.COPD. 2011 Feb;8(1):13-20. doi: 10.3109/15412555.2010.541537. COPD. 2011. PMID: 21299474
-
Univariate and multivariate skewness and kurtosis for measuring nonnormality: Prevalence, influence and estimation.Behav Res Methods. 2017 Oct;49(5):1716-1735. doi: 10.3758/s13428-016-0814-1. Behav Res Methods. 2017. PMID: 27752968
-
Effects of skewness and kurtosis on normal-theory based maximum likelihood test statistic in multilevel structural equation modeling.Behav Res Methods. 2011 Dec;43(4):1066-74. doi: 10.3758/s13428-011-0115-7. Behav Res Methods. 2011. PMID: 21671139
-
Problematic standard errors and confidence intervals for skewness and kurtosis.Behav Res Methods. 2011 Mar;43(1):8-17. doi: 10.3758/s13428-010-0044-x. Behav Res Methods. 2011. PMID: 21298573
-
Testing experimental data for univariate normality.Clin Chim Acta. 2006 Apr;366(1-2):112-29. doi: 10.1016/j.cca.2005.11.007. Epub 2006 Jan 4. Clin Chim Acta. 2006. PMID: 16388793 Review.
Cited by
-
HYADES - A Global Archive of Annual Maxima Daily Precipitation.Sci Data. 2024 Mar 15;11(1):298. doi: 10.1038/s41597-024-03109-2. Sci Data. 2024. PMID: 38491034 Free PMC article.
-
Methodological and Statistical Considerations for Cross-Sectional, Case-Control, and Cohort Studies.J Clin Med. 2024 Jul 9;13(14):4005. doi: 10.3390/jcm13144005. J Clin Med. 2024. PMID: 39064045 Free PMC article. Review.
-
Empowering leadership: A conflict resolver and a performance booster for organizations.PLoS One. 2023 Nov 30;18(11):e0294351. doi: 10.1371/journal.pone.0294351. eCollection 2023. PLoS One. 2023. PMID: 38032925 Free PMC article.
-
Joint confidence region estimation of L-moment ratios with an extension to right censored data.J Appl Stat. 2013;40(2):368-379. doi: 10.1080/02664763.2012.744386. J Appl Stat. 2013. PMID: 26985123 Free PMC article.
-
Corporate social responsibility: A key driver of sustainable development in China's post-COVID economy.PLoS One. 2024 May 31;19(5):e0300209. doi: 10.1371/journal.pone.0300209. eCollection 2024. PLoS One. 2024. Retraction in: PLoS One. 2025 May 7;20(5):e0323216. doi: 10.1371/journal.pone.0323216. PMID: 38820478 Free PMC article. Retracted.