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ERIC Number: EJ926751
Record Type: Journal
Publication Date: 2011
Pages: 22
Abstractor: As Provided
Reference Count: 32
ISBN: N/A
ISSN: ISSN-0022-0973
Choosing the Best Correction Formula for the Pearson r[superscript 2] Effect Size
Skidmore, Susan Troncoso; Thompson, Bruce
Journal of Experimental Education, v79 n3 p257-278 2011
In the present Monte Carlo simulation study, the authors compared bias and precision of 7 sampling error corrections to the Pearson r[superscript 2] under 6 x 3 x 6 conditions (i.e., population ρ values of 0.0, 0.1, 0.3, 0.5, 0.7, and 0.9, respectively; population shapes normal, skewness = kurtosis = 1, and skewness = -1.5 with kurtosis = 3.5; ns = 10, 20, 40, 60, 100, and 200, respectively). Limited previous studies focused primarily on the efficacy only of multiple R[superscript 2] corrections applied to the Pearson r[superscript 2]. The authors' results indicate that the Pratt and the Olkin-Pratt Extended corrections more consistently provided unbiased estimates across the sample sizes, [rho] values, and shape conditions that they investigated, although the Ezekiel correction arguably is also reasonable. The precisions of the estimates were homogeneous across the 108 simulation conditions. (Contains 6 tables and 2 figures.)
Routledge. Available from: Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A