心理学通讯2025，Vol.8Issue(2)：163-173,11.DOI:10.12100/j.issn.2096-5494.225023
二阶响应面分析的假设检验流程及其在R语言中的操作步骤
The Hypothesis Testing Process of Quadratic Response Surface Analysis and Its Operational Steps in R Language
摘要
Abstract
Response surface analysis(RSA)is a statistical analysis method based on polynomial regression used to examine nonlinear relationships between two or more predictor variables and one outcome variable.Compared with the difference score method,RSA has distinct advantages in exploring the congruence problem.According to its mathematical principles,quadratic RSA follows a specific testing procedure for the congruence assumption.The generalized congruence assumption is verified by testing the matching between the first principal axis(FPA)and the line of congruence(LOC),and whether the inverted"U"shape,with the vertex at the origin,of the corresponding cross-sectional curve of the line of incongruence(LOIC)was exhibited.Furthermore,the morphological test of the LOC cross-section curve is carried out to test the strict congruence assumption,the rising ridge assumption,and other related conditions.The RSA package in R language enables model fitting,parameter estimation,and 3D visualization,providing a comprehensive and simple operation process for practical application in research.Although there are some misunderstandings and challenges in the use of RSA,it has significant advantages in hypothesis testing and result visualization and plays a key role in a wide range of research fields.关键词
响应面分析/二次多项式/一致性假设/R语言Key words
response surface analysis(RSA)/quadratic polynomial/congruence assumption/R language引用本文复制引用
宋宇鹏,陈晴晴,刘晓雯..二阶响应面分析的假设检验流程及其在R语言中的操作步骤[J].心理学通讯,2025,8(2):163-173,11.基金项目
天津市哲学社会科学规划课题(TJJXQN22-004). （TJJXQN22-004）
