ERIC Number: EJ1341340
Record Type: Journal
Publication Date: 2022-Jul
Pages: 12
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1759-2879
EISSN: N/A
Available Date: N/A
Accuracy of Conversion Formula for Effect Sizes: A Monte Carlo Simulation
Research Synthesis Methods, v13 n4 p508-519 Jul 2022
In meta-analysis, effect sizes often need to be converted into a common metric. For this purpose conversion formulas have been constructed; some are exact, others are approximations whose accuracy has not yet been systematically tested. We performed Monte Carlo simulations where samples with pre-specified population correlations between the "x" and "y"-variables were drawn from a normally distributed population. A number of commonly used effect size measures and statistics were calculated from each sample. Using several available conversion formula these statistics were converted into Pearson "r" and Cohen's "d" and compared to "r" and "d" calculated directly from the original data. Converted values were systematically lower than the directly calculated values. While conversions to "d" were quite accurate, some of the conversions to "r" resulted in large biases. These systematic errors can in most cases be adjusted for by simply multiplying the converted values with a corresponding correction factor.
Descriptors: Meta Analysis, Effect Size, Mathematical Formulas, Monte Carlo Methods, Sampling, Accuracy, Computation, Statistical Analysis, Statistical Bias
Wiley. Available from: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030. Tel: 800-835-6770; e-mail: cs-journals@wiley.com; Web site: https://www-wiley-com.bibliotheek.ehb.be/en-us
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
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Data File: URL: https://osf.io/wn72u/
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