{"title":"Transforming the Area under the Normal Curve (AUC) into Cohen’s d, Pearson’s rpb, Odds-Ratio, and Natural Log Odds-Ratio: Two Conversion Tables","authors":"J. Salgado","doi":"10.5093/EJPALC2018A5","DOIUrl":null,"url":null,"abstract":"The importance of the area under the normal curve (AUC) as a measure of the effect size (ES) in applied and forensic research has been highlighted in several articles and Tables for functioning the AUC curve into Pearson’s rpband Cohen’s d have been published. No Tables have been published for functioning AUC into other frequently used effect size indexes, such as OR and Ln(OR). In this article, two Tables for 500 AUC three-digit values provide the equivalent values for functioning AUC into four ESs, including Cohen’s d values, Pearson’s rpb, odds-ratio (OR), and Ln(OR). In the case of rpb, the values are given for four base rates (.5, .3, .2, and .1). In addition, the formulas for transforming AUC into these effect sizes are provided, so researchers can calculate other values which have not been d in the Tables.","PeriodicalId":46030,"journal":{"name":"European Journal of Psychology Applied To Legal Context","volume":null,"pages":null},"PeriodicalIF":7.6000,"publicationDate":"2018-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"89","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"European Journal of Psychology Applied To Legal Context","FirstCategoryId":"102","ListUrlMain":"https://doi.org/10.5093/EJPALC2018A5","RegionNum":1,"RegionCategory":"社会学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"LAW","Score":null,"Total":0}
引用次数: 89
Abstract
The importance of the area under the normal curve (AUC) as a measure of the effect size (ES) in applied and forensic research has been highlighted in several articles and Tables for functioning the AUC curve into Pearson’s rpband Cohen’s d have been published. No Tables have been published for functioning AUC into other frequently used effect size indexes, such as OR and Ln(OR). In this article, two Tables for 500 AUC three-digit values provide the equivalent values for functioning AUC into four ESs, including Cohen’s d values, Pearson’s rpb, odds-ratio (OR), and Ln(OR). In the case of rpb, the values are given for four base rates (.5, .3, .2, and .1). In addition, the formulas for transforming AUC into these effect sizes are provided, so researchers can calculate other values which have not been d in the Tables.
期刊介绍:
The European Journal of Psychology Applied to Legal Context, the official journal of the Sociedad Española de Psicología Jurídica y Forense [Spanish Society of Forensic Psychology] and the Asociación Iberoamericana de Justicia Terapéutica [Latin-American Association of Therapeutic Jurisprudence], publishes empirical articles and meta-analytic reviews of topics dealing with psychology and law (e.g., legal decision making, eyewitness).
The journal is aimed at researchers, academics and professionals in Psychology, Law, Social Work, Forensic Sciences, Educators and, in general, people related with Social Sciences and the Law.