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Modeling and interpreting regressions with interactions

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  • Burks, Jeffrey J.
  • Randolph, David W.
  • Seida, Jim A.

Abstract

This study examines the use of linear regressions that include interaction terms, finding frequent interpretation errors in published accounting research. We provide insights on how to estimate, interpret, and present interactive regression models, and explain seldom-used but easily-implemented methods to report conditional marginal effects. We also examine the use of interaction terms in tax and financial reporting trade-off studies, evaluating the conceptual fit between a regression model with interactions and alternative definitions of trade-off. Although we advocate the use of interactive models, noise levels common in accounting research greatly reduce the ability to detect interaction effects.

Suggested Citation

  • Burks, Jeffrey J. & Randolph, David W. & Seida, Jim A., 2019. "Modeling and interpreting regressions with interactions," Journal of Accounting Literature, Elsevier, vol. 42(C), pages 61-79.
    • Handle: RePEc:eee:joacli:v:42:y:2019:i:c:p:61-79
    DOI: 10.1016/j.acclit.2018.08.001
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    1. Petroni, Kathy Ruby, 1992. "Optimistic reporting in the property- casualty insurance industry," Journal of Accounting and Economics, Elsevier, vol. 15(4), pages 485-508, December.
    2. Francis, J, 1990. "Corporate Compliance With Debt Covenants," Journal of Accounting Research, Wiley Blackwell, vol. 28(2), pages 326-347.
    3. Isabella Grabner & Frank Moers, 2013. "Managers' Choices of Performance Measures in Promotion Decisions: An Analysis of Alternative Job Assignments," Journal of Accounting Research, Wiley Blackwell, vol. 51(5), pages 1187-1220, December.
    4. Chee‐Yeow Lim & Hun‐Tong Tan, 2008. "Non‐audit Service Fees and Audit Quality: The Impact of Auditor Specialization," Journal of Accounting Research, Wiley Blackwell, vol. 46(1), pages 199-246, March.
    5. Chennamaneni, Pavan Rao & Echambadi, Raj & Hess, James D. & Syam, Niladri, 2016. "Diagnosing harmful collinearity in moderated regressions: A roadmap," International Journal of Research in Marketing, Elsevier, vol. 33(1), pages 172-182.
    6. Sonja Olhoft Rego & Ryan Wilson, 2012. "Equity Risk Incentives and Corporate Tax Aggressiveness," Journal of Accounting Research, Wiley Blackwell, vol. 50(3), pages 775-810, June.
    7. Shackelford, Douglas A. & Shevlin, Terry, 2001. "Empirical tax research in accounting," Journal of Accounting and Economics, Elsevier, vol. 31(1-3), pages 321-387, September.
    8. Hanwen Chen & Jeff Zeyun Chen & Gerald J. Lobo & Yanyan Wang, 2010. "Association Between Borrower and Lender State Ownership and Accounting Conservatism," Journal of Accounting Research, Wiley Blackwell, vol. 48(5), pages 973-1014, December.
    9. Edward C. Norton & Hua Wang & Chunrong Ai, 2004. "Computing interaction effects and standard errors in logit and probit models," Stata Journal, StataCorp LP, vol. 4(2), pages 154-167, June.
    10. Kristopher J. Preacher & Patrick J. Curran & Daniel J. Bauer, 2006. "Computational Tools for Probing Interactions in Multiple Linear Regression, Multilevel Modeling, and Latent Curve Analysis," Journal of Educational and Behavioral Statistics, , vol. 31(4), pages 437-448, December.
    11. Chee†Yeow Lim & Hun†Tong Tan, 2010. "Does Auditor Tenure Improve Audit Quality? Moderating Effects of Industry Specialization and Fee Dependence," Contemporary Accounting Research, John Wiley & Sons, vol. 27(3), pages 923-957, September.
    12. Hanlon, Michelle & Heitzman, Shane, 2010. "A review of tax research," Journal of Accounting and Economics, Elsevier, vol. 50(2-3), pages 127-178, December.
    13. Hui Guo & Xiaowen Jiang, 2011. "Accruals and the Conditional Equity Premium," Journal of Accounting Research, Wiley Blackwell, vol. 49(1), pages 187-221, March.
    14. Cadman, Brian & Carter, Mary Ellen & Hillegeist, Stephen, 2010. "The incentives of compensation consultants and CEO pay," Journal of Accounting and Economics, Elsevier, vol. 49(3), pages 263-280, April.
    15. Desai, Mihir A. & Dharmapala, Dhammika, 2006. "Corporate tax avoidance and high-powered incentives," Journal of Financial Economics, Elsevier, vol. 79(1), pages 145-179, January.
    16. Douglas A. Shackelford & Joel Slemrod & James M. Sallee, 2007. "A Unifying Model of How the Tax System and Generally Accepted Accounting Principles Affect Corporate Behavior," NBER Working Papers 12873, National Bureau of Economic Research, Inc.
    17. Kenneth J. Klassen & Stacie Kelley Laplante, 2012. "The Effect of Foreign Reinvestment and Financial Reporting Incentives on Cross†Jurisdictional Income Shifting," Contemporary Accounting Research, John Wiley & Sons, vol. 29(3), pages 928-955, September.
    18. Matsunaga, S & Shevlin, T & Shores, D, 1992. "Disqualifying Dispositions Of Incentive Stock-Options - Tax Benefits Versus Financial-Reporting Costs," Journal of Accounting Research, Wiley Blackwell, vol. 30, pages 37-68.
    19. Maydew, Edward L., 2001. "Empirical tax research in accounting: A discussion," Journal of Accounting and Economics, Elsevier, vol. 31(1-3), pages 389-403, September.
    20. Raj Echambadi & James D. Hess, 2007. "Mean-Centering Does Not Alleviate Collinearity Problems in Moderated Multiple Regression Models," Marketing Science, INFORMS, vol. 26(3), pages 438-445, 05-06.
    21. Dhaliwal, Ds & Frankel, M & Trezevant, R, 1994. "The Taxable And Book Income Motivations For A Lifo Layer Liquidation," Journal of Accounting Research, Wiley Blackwell, vol. 32(2), pages 278-289.
    22. Dan Dhaliwal & Oliver Zhen Li, 2006. "Investor Tax Heterogeneity and Ex‐Dividend Day Trading Volume," Journal of Finance, American Finance Association, vol. 61(1), pages 463-490, February.
    23. Brambor, Thomas & Clark, William Roberts & Golder, Matt, 2006. "Understanding Interaction Models: Improving Empirical Analyses," Political Analysis, Cambridge University Press, vol. 14(1), pages 63-82, January.
    24. Leslie A. Robinson & Phillip C. Stocken, 2013. "Location of Decision Rights Within Multinational Firms," Journal of Accounting Research, Wiley Blackwell, vol. 51(5), pages 1261-1297, December.
    25. Nemit Shroff & Amy X. Sun & Hal D. White & Weining Zhang, 2013. "Voluntary Disclosure and Information Asymmetry: Evidence from the 2005 Securities Offering Reform," Journal of Accounting Research, Wiley Blackwell, vol. 51(5), pages 1299-1345, December.
    26. Kenneth J. Klassen & Stacie K. Laplante, 2012. "Are U.S. Multinational Corporations Becoming More Aggressive Income Shifters?," Journal of Accounting Research, Wiley Blackwell, vol. 50(5), pages 1245-1285, December.
    27. Sonja Olhoft Rego, 2003. "Tax†Avoidance Activities of U.S. Multinational Corporations," Contemporary Accounting Research, John Wiley & Sons, vol. 20(4), pages 805-833, December.
    28. Ai, Chunrong & Norton, Edward C., 2003. "Interaction terms in logit and probit models," Economics Letters, Elsevier, vol. 80(1), pages 123-129, July.
    29. Chan, K. Hung & Lin, Kenny Z. & Mo, Phyllis L.L., 2010. "Will a departure from tax-based accounting encourage tax noncompliance? Archival evidence from a transition economy," Journal of Accounting and Economics, Elsevier, vol. 50(1), pages 58-73, May.
    30. Scholes, Myron S & Wilson, G Peter & Wolfson, Mark A, 1990. "Tax Planning, Regulatory Capital Planning, and Financial Reporting Strategy for Commercial Banks," The Review of Financial Studies, Society for Financial Studies, vol. 3(4), pages 625-650.
    31. Collins, Daniel W. & Kothari, S. P., 1989. "An analysis of intertemporal and cross-sectional determinants of earnings response coefficients," Journal of Accounting and Economics, Elsevier, vol. 11(2-3), pages 143-181, July.
    32. Maydew, EL, 1997. "Tax-induced earnings management by firms with net operating losses," Journal of Accounting Research, Wiley Blackwell, vol. 35(1), pages 83-96.
    33. Larcker, Df, 1992. "Disqualifying Dispositions Of Incentive Stock-Options - Tax Benefits Vs Financial-Reporting Costs - Discussion," Journal of Accounting Research, Wiley Blackwell, vol. 30, pages 69-76.
    34. Hamdi Ben‐Nasr & Narjess Boubakri & Jean‐Claude Cosset, 2012. "The Political Determinants of the Cost of Equity: Evidence from Newly Privatized Firms," Journal of Accounting Research, Wiley Blackwell, vol. 50(3), pages 605-646, June.
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