UPM Institutional Repository

Improved frequency table’s measures of skewness and kurtosis with application to weather data


Citation

Muhammed, M. B. and Adam, Mohd Bakri and Ali, Norhaslinda and Zulkafli, Hani Syahida (2020) Improved frequency table’s measures of skewness and kurtosis with application to weather data. Communications in Statistics - Theory and Methods, 50 (15). pp. 1-18. ISSN 0361-0926; ESSN: 1532-415X

Abstract

The statistic” Midpoint” used as a magnitude of observations in each class of a frequency table leads to biased estimates of the two measures of shape of a distribution, skewness, and kurtosis. This research proposed three new statistics, the mean, median, and midrange of observations in each class instead of the midpoint. Simulation results using samples from normal, uniform, exponential distributions, and the real Istanbul weather data indicated that measures that used the mean as a representative of observations in each class outperformed the other measures of skewness and kurtosis.


Download File

[img] Text (Abstract)
DATA.pdf

Download (119kB)

Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1080/03610926.2020.1752386
Publisher: Taylor and Francis
Keywords: Frequency table; Skewness; Kurtosis; Midpoint; Number of classes
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 03 Sep 2021 08:46
Last Modified: 03 Sep 2021 08:46
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1080/03610926.2020.1752386
URI: http://psasir.upm.edu.my/id/eprint/89316
Statistic Details: View Download Statistic

Actions (login required)

View Item View Item