What is it about?
Statistics methodology is subject to the general physical principle that it is necessary to account for all of the degrees of freedom when studying a quantitative phenomenon. We use the ordering properties of numeric and categorical data to generate the parameters for point-biserial statistics. We identify a novel parameter for nonoverlap proportion and demonstrate that a minimum of three parameters are needed in the representation of point-biserial statistics. Then, one-parameter association methods such as the t-test or point-biserial correlation, are subject to ambiguity.
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Why is it important?
The development of an applied mathematics framework is a prerequisite for resolving the statistics debate about the merits of statistical significance versus effect size in data analysis.
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This page is a summary of: Nonoverlap proportion and the representation of point-biserial variation, PLoS ONE, December 2020, PLOS,
DOI: 10.1371/journal.pone.0244517.
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