Relationships between \(p\)-values and Pearson correlation coefficients, type 1 errors and effect size errors, under a true null hypothesis

DOI10.1007/s42519-020-00115-6zbMath1436.62023OpenAlexW3037784022MaRDI QIDQ777863

Eugene Komaroff

Publication date: 7 July 2020

Published in: Journal of Statistical Theory and Practice (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s42519-020-00115-6

zbMATH Keywords

statistical significancePearson correlation coefficient\(p\)-valueseffect sizeFisher \(r\) to \(z\) transformationsubstantive significance

Mathematics Subject Classification ID

Foundations and philosophical topics in statistics (62A01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to statistics (62-01)

Uses Software

• G*Power 3
• SAS/STAT

Cites Work

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• THE PROBABLE ERROR OF A MEAN
• Moving to a World Beyond “p < 0.05”
• Abandon Statistical Significance
• The ASA Statement on p-Values: Context, Process, and Purpose
• R. A. Fisher in the 21st century. Invited paper presented at the 1996 R. A. Fisher lecture. (With comments).

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