Hostname: page-component-5f745c7db-q8b2h Total loading time: 0 Render date: 2025-01-06T06:41:36.920Z Has data issue: true hasContentIssue false
  • English
  • Français

Matrix Formulas for Part and Partial Correlation

Published online by Cambridge University Press:  01 January 2025

Earl Jennings
Earl Jennings*
Affiliation:
University of Texas
Get access Rights & Permissions [Opens in a new window]

Abstract

General formulas for part and partial correlation of any order are derived in terms of multiple correlation coefficients, standard partial regression weights, and validities. The relationship between part correlation and the “independent contribution of a predictor” is discussed.

Type
Original Paper
Information
Psychometrika , Volume 30 , Issue 3 , September 1965 , pp. 353 - 356
Copyright
Copyright © 1965 Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

DuBois, P. H. Multivariate correlational analysis, New York: Harper, 1957.Google Scholar
Dunlap, J. W. and Cureton, E. E. On the analysis of causation. J. educ. Psychol., 1930, 21, 657–680.CrossRefGoogle Scholar
Dwyer, P. S. Pearsonion correlation coefficient associated with least squares theory. Ann. math. Statist., 1949, 20, 404–417.CrossRefGoogle Scholar
Franzen, R. A comment on partial correlation. J. educ. Psychol., 1928, 19, 194–197.CrossRefGoogle Scholar
Gibson, W. A. Orthogonal predictors: A possible resolution of the Hoffman-Ward controversy. Psychol. Rep., 1962, 11, 32–34.CrossRefGoogle Scholar
Griffin, H. D. A further simplification of the multiple and partial correlation process. Psychometrika, 1936, 1, 219–228.CrossRefGoogle Scholar
Hoffman, P. J. Assessment of the independent contributions of predictors. Psychol. Bull., 1962, 59, 77–80.CrossRefGoogle ScholarPubMed
Hoffman, P. J. The paramorphic representation of clinical judgments. Psychol. Bull., 1960, 57, 116–131.CrossRefGoogle Scholar
Summerfield, A. and Lubin, A. A square root method of selecting a minimum set of variables in multiple regression. Psychometrika, 1951, 16, 271–283.CrossRefGoogle Scholar
Rao, C. R. Advanced statistical methods in biometric research, New York: Wiley, 1952.Google Scholar
Ward, J. H. Jr. Comments on “The paramorphic representation of clinical judgments. Psychol. Bull., 1962, 59, 74–76.CrossRefGoogle Scholar
Ward, J. H. Jr. Note on the independent contribution of a predictor. Psychol. Rep., 1963, 12, 197–198.CrossRefGoogle Scholar