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Multiple Correlation

  1. Barry H. Cohen

Published Online: 30 JAN 2010

DOI: 10.1002/9780470479216.corpsy0569

Corsini Encyclopedia of Psychology

Corsini Encyclopedia of Psychology

How to Cite

Cohen, B. H. 2010. Multiple Correlation. Corsini Encyclopedia of Psychology. 1.

Author Information

  1. New York University

Publication History

  1. Published Online: 30 JAN 2010

Abstract

Multiple linear correlation, which is the simplest and most common form of multiple correlation, is usually measured by a coefficient that ranges between zero and one (symbolized as R); it represents the highest possible degree of association between a weighted linear combination of several given predictor variables and a single criterion variable. For any particular case in a dataset, a prediction can be generated by multiplying its values on each of the predictor variables by the optimal weighting coefficients found by the least-squares method and adding a constant. R is then the ordinary Pearson's coefficient of linear correlation (r) between the predicted and actual criterion values.

Keywords:

  • coefficient of multiple determination;
  • proportion of variance accounted for;
  • unexplained variance;
  • adjusted R;
  • least-squares method