Use of R2 in accounting research: measuring changes in value relevance over the last four decades

Abstract

Accounting research frequently uses R 2, for example, to measure value relevance. We show analytically that scale effects present in levels regressions increase R 2, and this effect increases in the scale factor's coefficient of variation. Thus, between-sample comparisons of R 2 are invalid, unless one controls for differences in the scale factor's coefficient of variation. Applying our analysis to prior research, we show that the documented increase in value relevance of accounting is attributable to increases in the coefficient of variation of the scale factor. Controlling for this effect, there has been a decline in value relevance, as measured by R 2.