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Tukey, J. (1960) The Practical Relationship between the Common Transformations of Percentages of Counts and Amounts. Technical Report 36, Statistical Techniques Research Group, Princeton University.

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• TITLE: Mean Difference and Mean Deviation of Tukey Lambda Distribution

  AUTHORS: Giovanni Girone, Antonella Massari, Fabio Manca, Angela Maria D’Uggento

  KEYWORDS: Mean Difference, Mean Deviation, Tukey Lambda Distribution, Variability Indexes’ Relationships

  JOURNAL NAME: Applied Mathematics, Vol.11 No.8, August 24, 2020

  ABSTRACT: The purpose of this paper is to broaden the knowledge of mean difference and, in particular, of an important distribution model known as Tukey lambda, which is generally used to choose a model to fit data. We have obtained compact formulas, which are not yet reported in literature, of mean deviation and mean difference related to the said distribution model. These results made it possible to analyze the relationships among variability indexes, namely standard deviation, mean deviation and mean difference, regarding Tukey lambda model.