This paper examines the influence of ratio transformations on correlation and regression estimates. After a discussion of the "spurious" ratio correlation problem necessary and sufficient conditions are adduced for the correlation between two series with a common denominator to equal the partial correlation between numerator series with the deflating variable's influence held constant. So far as regression coefficients are concerned, it is shown what conditions must be fulfilled to obtain best linear unbiased least squares estimates when the data are in ratio form. These conditions will be more frequently fulfilled with cross-section than with time series data. Some empirical properties of Chenery's test of the capacity principle are then re-evaluated in light of these technical conditions. Chenery's work illustrates the point that ratio transformations on time series usually require circumspection when the data are cross-sectional.
MLA
Kuh, Edwin, and John R. Meyer. “Correlation and Regression Estimates when the Data are Ratios.” Econometrica, vol. 23, .no 4, Econometric Society, 1955, pp. 400-416, https://www.jstor.org/stable/1905347
Chicago
Kuh, Edwin, and John R. Meyer. “Correlation and Regression Estimates when the Data are Ratios.” Econometrica, 23, .no 4, (Econometric Society: 1955), 400-416. https://www.jstor.org/stable/1905347
APA
Kuh, E., & Meyer, J. R. (1955). Correlation and Regression Estimates when the Data are Ratios. Econometrica, 23(4), 400-416. https://www.jstor.org/stable/1905347
The Executive Committee of the Econometric Society has approved an increase in the submission fees for papers in Econometrica. Starting January 1, 2025, the fee for new submissions to Econometrica will be US$125 for regular members and US$50 for student members.
By clicking the "Accept" button or continuing to browse our site, you agree to first-party and session-only cookies being stored on your device. Cookies are used to optimize your experience and anonymously analyze website performance and traffic.