Abstract
Standardized effect sizes are frequently used, for example, in sample size planning and meta-analysis. However, they are often hard to interpret, and can be estimated in different ways. A measure that is better to interpret than the standardized difference of two means is the probability of superiority. The probability of superiority of paired (e.g., pretest and posttest) scores is the probability that of a randomly selected pair of scores the second (e.g., posttest) score is larger than the first (e.g., pretest ) score. The probability of superiority of independent (e.g., E- and C-group) scores is the probability that a randomly selected participant from one (e.g., The E- ) group has a larger score than a randomly selected participant from the other (e.g., C- ) group. The interpretability of observed test scores is facilitated by applying linear transformations to the scores. Two transformations are described. The Average Item Score (AIS) is the mean of the item scores of the test. The Proportion of Maximum Possible (POMP) score is the proportion that the observed test score takes of the distance between the minimum and maximum possible scores of the test.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Baguley, T. (2009). Standardized or simple effect size: What should be reported? British Journal of Psychology, 100, 603–617.
Cohen, P., Cohen, J., Aiken, L. S., & West, S. G. (1999). The problem of units and the circumstance for POMP. Multivariate Behavioral Research, 34, 315–346.
Grissom, R. J., & Kim, J. J. (2012). Effect sizes for research: Univariate and multivariate applications (2nd ed.). London, England: Routledge.
Wilkinson, L., & the Task Force on Statistical Inference (1999). Statistical methods in psychology journals. American Psychologist, 54, 594–604.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this chapter
Cite this chapter
Mellenbergh, G.J. (2019). Unstandardized Effect Sizes. In: Counteracting Methodological Errors in Behavioral Research. Springer, Cham. https://doi.org/10.1007/978-3-030-12272-0_13
Download citation
DOI: https://doi.org/10.1007/978-3-030-12272-0_13
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-74352-3
Online ISBN: 978-3-030-12272-0
eBook Packages: Behavioral Science and PsychologyBehavioral Science and Psychology (R0)