Common Error 15: Lack of Attention to the Moderation Probe
Many existing moderation studies lack the necessary attention to moderation probes (51.83% of our examined articles), although probing the conditional effect of X on Y at a specific value of M can provide informative messages, regardless of whether a moderation test is significant (Hayes, 2018). Given that the significance of the product term does not indicate how M affects the direction and magnitude of the association, visualizing and probing moderation with appropriate methods is necessary. Two primary methods exist to probe an interaction: the pick-a-point and the J–N approach, which we have elaborated on in session 4.3. Both approaches are available in regression-based and SEM-based software (e.g., PROCESS macro, SmartPLS). We strongly recommend reading Hayes (2018) and Ringle et al. (2015) to better understand how to perform these two approaches in PLS-SEM. Additionally, Murphy and Aguinis (2022) provide a guide for improving the visualization and reports of moderation effects.
调节分析:常见问题十五 忽视对调节效应的深入探查与可视化
调节分析不应止步于报告一个显著的交互项。我们的综述发现，51.83%的研究缺乏对调节效应的深入探查。然而，无论交互项是否显著，探查X对Y的条件效应（即在调节变量M的不同取值下，X如何影响Y）都能提供丰富信息（Hayes, 2018）。
问题实质：
一个显著的b₃只告诉我们“调节效应存在”，但无法告诉我们效应具体如何变化：是在M取何值时X效应变强、变弱甚至反转方向？如果不进行探查和可视化，我们就无法理解交互作用的实质模式，结论会流于表面。
解决建议：
Ÿ 必须进行简单斜率分析：使用以下两种主流方法之一来探查交互作用：
o 选点法：选取M有理论意义的特定值（如均值、均值±1标准差），计算并检验在这些点上X对Y的简单斜率。
o Johnson-Neyman法：识别出M在哪些取值范围内，X对Y的简单斜率是统计显著的。这种方法能提供更精确的“显著性区间”。
Ÿ 利用可视化工具：绘制简单斜率图是呈现调节效应最直观的方式。图表能清晰展示X与Y的关系如何在M的不同水平上变化。可以参考Murphy和Aguinis（2022）的指南来提升图表的呈现效果。
Ÿ 借助成熟软件：PROCESS宏、SmartPLS、Mplus等主流软件都内置了上述探查与绘图功能，应充分利用。
Reference
Becker, J. M., Cheah, J. H., Gholamzade, R., Ringle, C. M., & Sarstedt, M. (2023). PLS-SEM's most wanted guidance. International Journal of Contemporary Hospitality Management, 35(1), 321-346.
Dawson, J. F. (2014). Moderation in management research: What, why, when, and how. Journal of Business and Psychology, 29(1), 1-19.
Hayes, A. F. (2018). Introduction to Mediation, Moderation, and Conditional Process Analysis (2nd ed.). Guilford Press.
Memon, M. A., Cheah, J. H., Ramayah, T., Ting, H., Chuah, F., & Cham, T. H. (2019). Moderation analysis: Issues and guidelines. Journal of Applied Structural Equation Modeling, 3(1), i-xi.
Murphy, K. R., & Aguinis, H. (2022). Reporting interaction effects: Visualization, effect size, and interpretation. Journal of Management, 48(8), 2159-2166.
Xu, Y., & Shiau, W. L. (2026). Moderation analysis in business and management research: Common issues, solutions, and guidelines for future research. International Journal of Information Management, 86, 102995.
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