Article
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Application of Statistical Mirroring in ANOVA-Like Tests
Version 1
: Received: 4 December 2019 / Approved: 5 December 2019 / Online: 5 December 2019 (12:01:14 CET)
How to cite: Abdullahi, K.B. Application of Statistical Mirroring in ANOVA-Like Tests . Preprints 2019, 2019120074. https://doi.org/10.20944/preprints201912.0074.v1 Abdullahi, K.B. Application of Statistical Mirroring in ANOVA-Like Tests . Preprints 2019, 2019120074. https://doi.org/10.20944/preprints201912.0074.v1
Abstract
Statistical inferences is regarded as the general criteria for statistical conclusion and drawing generalizations. However, most of the inferential statistical tools are based on strong assumptions which create a strict limitations on their use and application. Analysis of variance (ANOVA) is one of such statistics. In this article, eight (8) new ANOVA-like methodologies were proposed, in alternative to one-way ANOVA, based on the assumptions of statistical mirroring. Methods validation in comparison with one-way ANOVA was designed to assess the suitability and statistical power of the new proposals as an alternative methods, using different sets of logically generated multivariate datasets with different problems and statistical complications. The results of comparisons validate that the eight (8) proposed ANOVA-like methodologies were suitable alternatives to ANOVA, in the sense that they require no normality assumption to be meet, used different ways to compare the data with different statistical elements rather than depending on only variance, efficient with negative values, and results interpretation is easier.
Keywords
statistical mirroring; meanic mirror; comparative optinalysis; descriptive components; inferences
Subject
Computer Science and Mathematics, Analysis
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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