ANOVA-nSTAT: ANOVA methodology and computational tools in the paradigm of new statistics

Abstract

Based on the statistical significance testing, the Analysis of Variance (ANOVA) is one of the most popular statistics widely used in experimental sciences. However, in recent years, the statistical significance testing has been widely criticized for its various shortcomings. To address this problem, in present article we developed the new ANOVA methodology in the paradigm of new statistics. In this methodology, effect size testing is added to six most used ANOVA methods and the finer p-value standardard is used in the statistical significance testing of eight ANOVA methods. Both online and offline computational tools are developed for free use.

Keywords

• analysis of variance (anova)
• effect sizes
• effect size testing
• significance testing
• standalone software
• online computation