Decile
In descriptive statistics, a decile is any of the nine values that divide the sorted data into ten equal parts, so that each part represents 1/10 of the sample or population.[1] A decile is one possible form of a quantile; others include the quartile and percentile.[2] A decile rank arranges the data in order from lowest to highest and is done on a scale of one to ten where each successive number corresponds to an increase of 10 percentage points.
Special Usage: The decile mean
A moderately robust measure of central tendency - known as the decile mean - can be computed by making use of a sample's deciles [math]\displaystyle{ D_{1} }[/math] to [math]\displaystyle{ D_{9} }[/math] ([math]\displaystyle{ D_{1} }[/math] = 10th percentile, [math]\displaystyle{ D_{2} }[/math] = 20th percentile and so on). It is calculated as follows:[3]
- [math]\displaystyle{ DM = \frac{\sum_{i=1}^9 D_{i}} {9} }[/math]
Apart from serving as an alternative for the mean and the truncated mean, it also forms the basis for robust measures of skewness and kurtosis, and even a normality test.[4]
See also
- Summary statistics
- Socio-economic decile (for New Zealand schools)
References
- ↑ Lockhart, Robert S. (1998), Introduction to Statistics and Data Analysis: For the Behavioral Sciences, Macmillan, p. 78, ISBN 9780716729747, https://books.google.com/books?id=93pxNPtt0coC&pg=PA78.
- ↑ Sheskin, David J. (2003), Handbook of Parametric and Nonparametric Statistical Procedures (3rd ed.), CRC Press, p. 10, ISBN 9781420036268, https://books.google.com/books?id=bmwhcJqq01cC&pg=PA10.
- ↑ Rana, Sohel; Siraj-Ud-Doulah, Md.; Midi, Habshah; Imon, A. H. M. Rahmatullah (2012). "Decile mean: A new robust measure of central tendency". Chiang Mai Journal of Science 39 (3): 478–485. https://www.thaiscience.info/journals/Article/CMJS/10905266.pdf.
- ↑ Siraj-Ud-Doulah, Md. (2021). "An Alternative Measures of Moments Skewness Kurtosis and JB Test of Normality". Journal of Statistical Theory and Applications 20 (2): 219–227. doi:10.2991/jsta.d.210525.002.
de:Quantil#Dezil ru:Квантиль#Дециль
 |  |
