Across-Sample Incomparability of R2s and Additional Evidence on Value Relevance Changes Over Time

26 Pages Posted: 15 Oct 2007

See all articles by Zhaoyang Gu

Zhaoyang Gu

Chinese University of Hong Kong - School of Accountancy

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Abstract

Given the increasing popularity of across-sample R2 comparisons in accounting research, this paper illustrates why the regression R2s are incomparable across samples and the general nature of this problem. The regression residual dispersion with proper control for scale is proposed as the alternative measure of explanatory power for across-sample comparisons. In market-on-accounting variable regressions, this measure can be conveniently interpreted as the degree of accounting-based pricing errors and be used as a measure of value relevance of accounting information. As an application, the issue of over-time value relevance changes is re-visited. In contrast to prior mixed findings based on the R2 measure, a decline of value relevance since the early 1970s is robustly detected using the alternative measure.

Keywords: econometric models, R2, residuals, pricing errors, value relevance

JEL Classification: G12, C30, M41

Suggested Citation

Gu, Zhaoyang, Across-Sample Incomparability of R2s and Additional Evidence on Value Relevance Changes Over Time. Journal of Business Finance & Accounting, Vol. 34, Nos. 7-8, pp. 1073-1098, September/October 2007, Available at SSRN: https://ssrn.com/abstract=1020814 or http://dx.doi.org/10.1111/j.1468-5957.2007.02044.x

Zhaoyang Gu (Contact Author)

Chinese University of Hong Kong - School of Accountancy ( email )

Shatin, N.T.
Hong Kong

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