(noun) In statistical analysis, a standardized measure of the covariance between two variables expressed between -1 and +1. The sign of the coefficient indicates the direction of the relationship while the magnitude is indicated by the value of the coefficient with 0 indicating absolutely no correlation and a value of ±1 indicating perfect correlation.
Example: A correlation coefficient of -.85 indicates a strong negative correlation between two variables.
Audio Pronunciation: (cor·re·la·tion co·ef·fi·cient)
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- Plural: correlation coefficients
- The most common test for correlation is the Pearson product-movement correlation (commonly referred to as Pearson correlation) which tests the linear correlation between two variables where data approximates interval level characteristics.
- Pearson correlation produces a correlation coefficient, Pearson’s r, which is an absolute measure of the strength of association between two variables as they approximate a linear relationship. The value of the coefficient can range from -1 to +1. When r = 0; the two variables have no linear relationship. While the size and sign of the coefficient are important, the coefficient must also be statistically significant for a relationship between two variables to be considered present in the data.
- Correlation forms the basis of regression analysis. Regression allows for the effects of additional variables to be considered in the relationship of x on y.
- Also called:
- coefficient of association
- coefficient of correlation
- coefficient of association
- Correlation coefficient used in a sentence: The negative correlation coefficient is also significant, indicating that scores on one variable are inversely associated with scores on the second variable.
- Quantitative Research Resources – Books, Journals, and Helpful Links
- Word origin of “correlation” and “coefficient” – Online Etymology Dictionary: etymonline.com
- control group
- empirical evidence
- experimental group
- negative correlation
- positive correlation
- random sample
- statistical analysis
Contributor: C. E. Seaman
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How to Cite the Definition of Correlation Coefficient
ASA – American Sociological Association (5th edition)
Seaman, C. E. 2015. “correlation coefficient.” In Open Education Sociology Dictionary, edited by Kenton Bell. Retrieved March 27, 2019 (http://sociologydictionary.org/correlation-coefficient/).
APA – American Psychological Association (6th edition)
Seaman, C. E. (2015). correlation coefficient. In K. Bell (Ed.), Open education sociology dictionary. Retrieved from http://sociologydictionary.org/correlation-coefficient/
Chicago/Turabian: Author-Date – Chicago Manual of Style (16th edition)
Seaman, C. E. 2015. “correlation coefficient.” In Open Education Sociology Dictionary, edited by Kenton Bell. Accessed March 27, 2019. http://sociologydictionary.org/correlation-coefficient/.
MLA – Modern Language Association (7th edition)
Seaman, C. E. “correlation coefficient.” Open Education Sociology Dictionary. Ed. Kenton Bell. 2015. Web. 27 Mar. 2019. <http://sociologydictionary.org/correlation-coefficient/>.