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Standardized Effect Sizes for Moderated Conditional Fixed Effects with Continuous Moderator Variables.

Todd E Bodner1

  • 1Department of Psychology, Portland State UniversityPortland, OR, USA.

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Summary
This summary is machine-generated.

Researchers should report standardized effect sizes for interactions with continuous moderators to clarify practical significance beyond statistical significance. This approach aids in interpreting the magnitude of effects for better communication.

Keywords:
graphssemi-partial correlationsstandardized effect sizesstandardized mean differencesstatistical interactions

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Area of Science:

  • Psychometrics
  • Statistical modeling
  • Quantitative psychology

Background:

  • The Wilkinson and Task Force (1999) recommended reporting standardized effect sizes to distinguish statistical from practical significance.
  • This recommendation has not been widely adopted for interpreting interactions with continuous moderators, especially with arbitrary metric variables.
  • Current methods lack clear ways to assess the practical importance of conditional effects in such interactions.

Purpose of the Study:

  • To introduce a descriptive approach for investigating two-way statistical interactions with continuous moderators.
  • To enable the evaluation and communication of the practical magnitude of conditional effects using standardized effect sizes.
  • To provide supplementary information for interpreting interactions that is currently lacking.

Main Methods:

  • Investigating two-way statistical interactions involving continuous moderator variables.
  • Expressing conditional effects in standardized effect size metrics, such as standardized mean differences and semi-partial correlations.
  • Applying conventional and proposed guidelines for standardized effect sizes to assess practical magnitude.

Main Results:

  • The proposed approach allows for the evaluation of practical significance of conditional effects in interactions.
  • Demonstrated utility with two real data examples, highlighting the importance of standardized effect sizes.
  • Identified and emphasized key assumptions underlying the standardization process for accurate interpretation.

Conclusions:

  • The presented descriptive approach enhances the interpretation and communication of statistical interactions involving continuous moderators.
  • Researchers can better convey the practical implications of their findings by reporting standardized effect sizes.
  • This method offers valuable supplementary information for understanding the magnitude of effects in complex statistical models.