Improved frequency table’s measures of skewness and kurtosis with application to weather data
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...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Taylor and Francis
2020
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| Online Access: | http://psasir.upm.edu.my/id/eprint/89316/ http://psasir.upm.edu.my/id/eprint/89316/1/DATA.pdf |
| _version_ | 1848860823683858432 |
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| author | Muhammed, M. B. Adam, Mohd Bakri Ali, Norhaslinda Zulkafli, Hani Syahida |
| author_facet | Muhammed, M. B. Adam, Mohd Bakri Ali, Norhaslinda Zulkafli, Hani Syahida |
| author_sort | Muhammed, M. B. |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-15T12:51:22Z |
| format | Article |
| id | upm-89316 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T12:51:22Z |
| publishDate | 2020 |
| publisher | Taylor and Francis |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-893162021-09-03T08:46:23Z http://psasir.upm.edu.my/id/eprint/89316/ Improved frequency table’s measures of skewness and kurtosis with application to weather data Muhammed, M. B. Adam, Mohd Bakri Ali, Norhaslinda Zulkafli, Hani Syahida 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. Taylor and Francis 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/89316/1/DATA.pdf 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 https://www.tandfonline.com/doi/abs/10.1080/03610926.2020.1752386?journalCode=lsta20 10.1080/03610926.2020.1752386 |
| spellingShingle | Muhammed, M. B. Adam, Mohd Bakri Ali, Norhaslinda Zulkafli, Hani Syahida Improved frequency table’s measures of skewness and kurtosis with application to weather data |
| title | Improved frequency table’s measures of skewness and kurtosis with application to weather data |
| title_full | Improved frequency table’s measures of skewness and kurtosis with application to weather data |
| title_fullStr | Improved frequency table’s measures of skewness and kurtosis with application to weather data |
| title_full_unstemmed | Improved frequency table’s measures of skewness and kurtosis with application to weather data |
| title_short | Improved frequency table’s measures of skewness and kurtosis with application to weather data |
| title_sort | improved frequency table’s measures of skewness and kurtosis with application to weather data |
| url | http://psasir.upm.edu.my/id/eprint/89316/ http://psasir.upm.edu.my/id/eprint/89316/ http://psasir.upm.edu.my/id/eprint/89316/ http://psasir.upm.edu.my/id/eprint/89316/1/DATA.pdf |