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ERIC Number: EJ961843
Record Type: Journal
Publication Date: 2011-Nov
Pages: 24
Abstractor: As Provided
Reference Count: 49
ISSN: ISSN-1069-1898
Key Results of Interaction Models with Centering
Afshartous, David; Preston, Richard A.
Journal of Statistics Education, v19 n3 Nov 2011
We consider the effect on estimation of simultaneous variable centering and interaction effects in linear regression. We technically define, review, and amplify many of the statistical issues for interaction models with centering in order to create a useful and compact reference for teachers, students, and applied researchers. In addition, we investigate a sequence of models that have an interaction effect and/or variable centering and derive expressions for the change in the regression coefficients between models from both an intuitive and mathematical perspective. We demonstrate how these topics may be employed to motivate discussion of other important areas, e.g., misspecification bias, multicollinearity, design of experiments, and regression surfaces. This paper presents a number of results also given elsewhere but in a form that gives a unified view of the topic. The examples cited are from the area of medical statistics. (Contains 5 figures, 3 tables and 15 footnotes.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: Students; Teachers; Researchers
Language: English
Sponsor: N/A
Authoring Institution: N/A