{"title":"The monotonic linear model: Testing for removable interactions.","authors":"John C Dunn, Laura M Anderson","doi":"10.1037/met0000626","DOIUrl":null,"url":null,"abstract":"<p><p>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) 2024 APA, all rights reserved).</p>","PeriodicalId":20782,"journal":{"name":"Psychological methods","volume":" ","pages":""},"PeriodicalIF":7.6000,"publicationDate":"2024-02-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Psychological methods","FirstCategoryId":"102","ListUrlMain":"https://doi.org/10.1037/met0000626","RegionNum":1,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PSYCHOLOGY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
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) 2024 APA, all rights reserved).
期刊介绍：
Psychological Methods is devoted to the development and dissemination of methods for collecting, analyzing, understanding, and interpreting psychological data. Its purpose is the dissemination of innovations in research design, measurement, methodology, and quantitative and qualitative analysis to the psychological community; its further purpose is to promote effective communication about related substantive and methodological issues. The audience is expected to be diverse and to include those who develop new procedures, those who are responsible for undergraduate and graduate training in design, measurement, and statistics, as well as those who employ those procedures in research.
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