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A Panel Data Approach to Testing Anomaly Effects in Factor Pricing Models


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  • Laura Serlenga
  • Yongcheol Shin


  • Andy Snell



There has been a large anomaly literature where firm specific characteristics such as earnings-to-price ratio and book-to-market ratio as well as size help explain cross sectional returns. These anomalies that have been attributed to market inefficiency could be the result of a misspecification of the underlying factor pricing model. The most popular approach to detecting these anomaly effects has been the two pass (TP) cross-sectional regression models, advanced by Black, Jensen and Scholes (1972) and Fama and MacBeth (1973). However, it is well-established that the TP method suffers from the errors in variables problem, because estimated betas are used in the second stage cross sectional regression. In this paper we address the issue of testing for factor price misspecification via the panel data approach. Perhaps one of the main reasons for the neglect of benefits of using panel data technique is that in factor pricing models, all betas are heterogeneous in the first pass time series regression. However, if our interest lies solely in testing the significance of the firm's characteristics in factor pricing models, we can show how to construct a theoretically coherent example to which panel data techniques dealing with both homogeneous and heterogeneous parameters can be applied. Panel-based anomaly tests have one clear advantage over TP-based tests; they are based on full information maximum likelihood estimates so that they do not su®er from the errors in variable problem and have all the usual asymptotic properties associated with likelihood tests. The empirical illustration shows the importance of Book-to-Market equity and market value in helping explain asset returns even in the three factor models.

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Bibliographic Info

Paper provided by Edinburgh School of Economics, University of Edinburgh in its series ESE Discussion Papers with number 88.

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Length: 16
Date of creation: Mar 2004
Date of revision:
Handle: RePEc:edn:esedps:88

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Keywords: Excess returns; market efficiency; anomaly effects; pooled ML estimation.;

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  3. Hertzel, Michael G & Smith, Richard L, 1993. " Market Discounts and Shareholder Gains for Placing Equity Privately," Journal of Finance, American Finance Association, American Finance Association, vol. 48(2), pages 459-85, June.
  4. Marco Bigelli, 1998. "The Quasi-split Effect, Active Insiders and the Italian Market Reaction to Equity Rights Issues," European Financial Management, European Financial Management Association, European Financial Management Association, vol. 4(2), pages 185-206.
  5. Barclay, Michael J. & Holderness, Clifford G., 1989. "Private benefits from control of public corporations," Journal of Financial Economics, Elsevier, Elsevier, vol. 25(2), pages 371-395, December.
  6. Wruck, Karen Hopper, 1989. "Equity ownership concentration and firm value : Evidence from private equity financings," Journal of Financial Economics, Elsevier, Elsevier, vol. 23(1), pages 3-28, June.
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