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理解析因设计、主效应和交互效应:通过一个实例简单讲解

Understanding Factorial Designs, Main Effects, and Interaction Effects: Simply Explained with a Worked Example.

作者信息

Andrade Chittaranjan

机构信息

Dept. of Clinical Psychopharmacology and Neurotoxicology, National Institute of Mental Health and Neurosciences, Bengaluru, Karnataka, India.

出版信息

Indian J Psychol Med. 2024 Mar;46(2):175-177. doi: 10.1177/02537176241237066. Epub 2024 Mar 21.

DOI:10.1177/02537176241237066
PMID:38725713
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11076936/
Abstract

A factorial design examines the effects of two independent variables on a single, continuous dependent variable. The statistical test employed to analyze the data is a two-way analysis of variance (ANOVA). This test yields three results: a main effect for each of the independent variables and an interaction effect between the two independent variables. This article explains factorial designs and two-way ANOVA with the help of a worked example using hypothetical data in a spreadsheet provided as a supplementary file. The main effects and interaction effects are explained and illustrated using tables and figures. A short discussion provides general notes about the concepts explained in this article, along with brief notes on repeated measures ANOVA and higher order ANOVAs. Many additional examples, with figures and explanations, are provided in the supplementary materials, which the reader is strongly encouraged to view.

摘要

析因设计考察两个自变量对单个连续因变量的影响。用于分析数据的统计检验是双向方差分析(ANOVA)。该检验产生三个结果:每个自变量的主效应以及两个自变量之间的交互效应。本文借助一个实例来解释析因设计和双向方差分析,该实例使用了作为补充文件提供的电子表格中的假设数据。通过表格和图表对主效应和交互效应进行了解释和说明。简短的讨论提供了关于本文所解释概念的一般注释,以及关于重复测量方差分析和高阶方差分析的简要注释。补充材料中提供了许多带有图表和解释的额外示例,强烈建议读者查看。

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