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December 1, 1968Psychological Bulletin

Multiple regression as a general data-analytic system.

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Authors

JCJacob CohenAmes Research Center

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Implication

Methodological analysis demonstrates equivalence between multiple regression and analysis of variance, highlighting practical advantages for psychological data analysis.

Key Points

  • To establish multiple regression as a flexible, unified general data-analytic system and demonstrate its mathematical equivalence to fixed-model analysis of variance and covariance.
  • Conceptual exposition linking multiple regression directly to fixed-model analysis of variance and covariance under the general linear model framework.
  • Demonstration of encoding schemes for qualitative nominal-scale variables as independent predictors in regression models.
  • Formulation of analytic procedures within regression to manage interaction effects, curvilinear relationships, covariates, and missing data.
  • Establishes theoretical and mathematical identity between multiple regression and traditional analysis of variance/covariance systems.
  • Identifies multiple regression as a superior, flexible framework capable of handling continuous predictors, categorical factors, correlated variables, and missing data simultaneously.

Cite This Study

Jacob Cohen (1968) studied this question.

synapsesocial.com/papers/69da596bae64bec32b835a0fhttps://doi.org/10.1037/h0026714
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  1. 1Applied Regression Analysis2005 · 17,999 citations