Theoretical and Mathematical Constraints of Interactive Regression Models
讨论了交互效应研究中的理论与数学问题，指出行为科学中常见的可预测性水平使得强序数调节效应在数学上不存在，因此难以检测。
Theoretical and mathematical issues related to the study of interaction effects are discussed. Constraints imposed by the theoretical expectation of ordinal or monotone interactions are defined by the general concept of inversion values. The mathematical constraints implied by these values are demonstrated by the derivation of a general formula. Further definitions related to this general formula are discussed for qualitative and quantitative variables. It is argued that interaction effects of substantial magnitude may not be routinely detected in behavioral science because many interactive theories may be implicitly ordinal. Levels of predictability common to behavioral science make such effects mathematically nonexistent, and thus impossible to detect. To have strong ordinal moderation, there must be a strong effect to be moderated.