dc.contributor.author |
Habib, E.A. |
|
dc.contributor.author |
Ahmed, N. M. |
|
dc.date.accessioned |
2018-07-31T10:45:16Z |
|
dc.date.available |
2018-07-31T10:45:16Z |
|
dc.date.issued |
2014 |
|
dc.identifier.issn |
2384-4663 |
|
dc.identifier.uri |
https://journal.uob.edu.bh:443/handle/123456789/1988 |
|
dc.description.abstract |
Mean absolute deviation about median is partitioned into two parts in terms of median to obtain a measure of skewness that is zero for symmetric distributions and into four parts in terms of percentiles to obtain a measure of equality between the middle and the sides of a distribution that is zero for the normal distribution. Based on these partitions a powerful and informative graph called H-graph is produced that can provide more insight into the nature of the data and assess goodness of fit for a data set to a theoretical model. This graph enriches the visual information offered by the histogram and box-plot. By using these measures two tests for middle-sides equality and normality are proposed. The simulation results from several distributions show that the proposed tests have a very good power in comparisons with well-known powerful tests that depend on moments. |
en_US |
dc.language.iso |
en |
en_US |
dc.publisher |
University of Bahrain |
en_US |
dc.rights |
Attribution-NonCommercial-ShareAlike 4.0 International |
* |
dc.rights.uri |
http://creativecommons.org/licenses/by-nc-sa/4.0/ |
* |
dc.subject |
box-plot |
|
dc.subject |
kurtosis |
|
dc.subject |
normality test |
|
dc.subject |
MAD |
|
dc.subject |
skewness |
|
dc.title |
Shape Measures based on Mean Absolute Deviation with Graphical Display |
en_US |
dc.type |
Article |
en_US |
dc.identifier.doi |
http://dx.doi.org/10.12785/IJBSA/010103 |
|
dc.volume |
01 |
|
dc.issue |
01 |
|
dc.source.title |
International Journal of Business and Statistical Analysis |
|
dc.abbreviatedsourcetitle |
IJBSA |
|