Continuous Predictors of Pretest-Posttest Change: Highlighting the Impact of the Regression Artifact

Frontiers in Applied Mathematics and Statistics

Arpin-Cribbie, Chantal A.¹  Cribbie, Robert A.²  Farmus, Linda² 

[1] Department of Psychology, Laurentian University, Canada;Quantitative Methods Program, Department of Psychology, York University, Canada

关键词: regression artefacts;    Lord';    s paradox;    continuous predictors;    change analysis;    pre-post;    Pre-post analysis;   

DOI  :  10.3389/fams.2018.00064

学科分类：数学（综合）

来源: Frontiers

【 摘 要 】

Researchers are often interested in exploring predictors of change, and commonly use a regression based model or a gain score analysis to compare degree of change across groups. Methodologists have cautioned against the use of the regression based model when there are non-random group differences at baseline because this model inappropriately corrects for baseline differences. Less research has addressed the issues that arise when exploring continuous predictors of change (e.g., a regression model with posttest as the outcome and pretest as a covariate). If continuous predictors of change correlate with pretest scores, the modeled relationship between predictors and change may be an artefact. This two-part study explored the statistical artefact that may arise when continuous predictors of change are included in pretest-posttest regression based models. Study 1 revealed that the problematic regression based model is currently being applied in psychology literature more often than non-problematic models, and that the conditions leading to the artefact were met in a significant amount of studies reviewed. Study 2 demonstrated that the artefact arises in conditions common within psychological research, and directly impacts Type I error rates. Recommendations are provided regarding which regression based models are appropriate when pretest scores are correlated with continuous predictors.

【 授权许可】

CC BY