University of Bahrain
Scientific Journals

Mean Absolute Deviation: Analysis and Applications

Show simple item record Elsayed, K. M.T. 2018-08-01T05:42:49Z 2018-08-01T05:42:49Z 2015
dc.identifier.issn 2384-4663
dc.description.abstract One way analysis of mean absolute deviation (ANOMAD) about mean and median is derived where the total sum of absolute deviation is partition into exact between sum of absolute deviation and within sum of absolute deviation. Because of the presence of absolute function in mean absolute deviation, the middle term does not exist where it is included in each term. Therefore, the exact partitions are derived using the idea of creating error terms from the same type and take it away from each term to obtain the exact partitions. ANOMAD has advantages: does not square data and offers meaningful measure of dispersion. However, the variance-gamma distribution is used to fit the sampling distributions of between sum of absolute and within sum of absolute. Consequently, two tests of equal medians and means are introduced under the assumption of Laplace distribution. Moreover, two measures of effect sizes are re-defined and studied in terms of ANOMAD. 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 *
dc.subject ANOVA
dc.subject Effect sizes
dc.subject Laplace distribution
dc.subject MAD
dc.subject Variance-gamma distribution
dc.title Mean Absolute Deviation: Analysis and Applications en_US
dc.type Article en_US
dc.volume 02
dc.issue 02
dc.source.title International Journal of Business and Statistical Analysis
dc.abbreviatedsourcetitle IJBSA

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