单调线性模型:检验可移除交互效应
The monotonic linear model: Testing for removable interactions.
Psychological Methods 刊出文章提出一种统计程序,用于判断交互效应是否可移除。文章延续 Loftus(1978)关于理论概念(如记忆、注意)与其观测指标(如命中率、正确率)之间协调函数的讨论:当协调函数为非线性时,只有部分交互效应可解释,可移除交互与底层理论概念上的加性效应一致,不可移除交互则不一致。
Loftus (1978) highlighted the distinction between a theoretical concept such as memory or attention, and its observed measure such as hit rate or percent correct. If the functional relationship between the concept and its measure is nonlinear then only some interaction effects are interpretable. This is an example of the wider “problem of coordination” which pervades scientific measurement. Loftus drew on the principles of additive conjoint measurement (ACM) to discuss the consequences when the coordination function is assumed to be monotonic. This led to the distinction between removable interactions that are consistent with an additive effect on the underlying theoretical concept and nonremovable interactions that are not. However, the adoption of these ideas by researchers has been greatly limited by the fact that no statistical procedure exists to determine if and to what extent an interaction is removable or otherwise. The lack of such a procedure has similarly limited the impact of ACM on research practice. The aim of this article is to present such a procedure. (PsycInfo Database Record (c) 2026 APA, all rights reserved)
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来源:Psychological Methods · doi.org