IDEAS home Printed from https://ideas.repec.org/a/eee/joacli/v42y2019icp61-79.html
   My bibliography  Save this article

Modeling and interpreting regressions with interactions

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0737460717301325
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.acclit.2018.08.001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Egor Nikulin & Jeff Downing, 2021. "Loan-loss provisions, earnings management, and capital management by Russian banks: the impact of changes in banking regulation and oversight," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 11(4), pages 659-677, December.
    2. Giorgio Caselli & Catarina Figueira, 2023. "Monetary policy, ownership structure, and risk‐taking at financial intermediaries," The Financial Review, Eastern Finance Association, vol. 58(1), pages 167-191, February.
    3. Marwan Mansour & Hamzeh Al Amosh & Ahmad Yuosef Alodat & Saleh F. A. Khatib & Mohammed W. A. Saleh, 2022. "The Relationship between Corporate Governance Quality and Firm Performance: The Moderating Role of Capital Structure," Sustainability, MDPI, vol. 14(17), pages 1-25, August.
    4. Olszak, Małgorzata & Kowalska, Iwona, 2022. "Does bank competition matter for the effects of macroprudential policy on the procyclicality of lending?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 76(C).
    5. Boland, Matthew & Godsell, David, 2021. "Bureaucratic discretion and contracting outcomes," Accounting, Organizations and Society, Elsevier, vol. 88(C).
    6. Puspita Ghaniy Anggraini & Mahfud Sholihin, 2023. "What do we know about managerial ability? A systematic literature review," Management Review Quarterly, Springer, vol. 73(1), pages 1-30, February.
    7. Marcin Borsuk & Nicolas Eugster & Paul-Olivier Klein & Oskar Kowalewski, 2024. "Family firms and carbon emissions," Post-Print hal-04710120, HAL.
    8. Chantziaras, Antonios & Dedoulis, Emmanouil & Grougiou, Vassiliki & Leventis, Stergios, 2020. "The impact of religiosity and corruption on CSR reporting: The case of U.S. banks," Journal of Business Research, Elsevier, vol. 109(C), pages 362-374.
    9. Jason L. Brown & Patrick R. Martin & Geoffrey B. Sprinkle & Dan Way, 2023. "How Return on Investment and Residual Income Performance Measures and Risk Preferences Affect Risk-Taking," Management Science, INFORMS, vol. 69(2), pages 1301-1322, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Steijvers, Tensie & Niskanen, Mervi, 2014. "Tax aggressiveness in private family firms: An agency perspective," Journal of Family Business Strategy, Elsevier, vol. 5(4), pages 347-357.
    2. Hanlon, Michelle & Heitzman, Shane, 2010. "A review of tax research," Journal of Accounting and Economics, Elsevier, vol. 50(2-3), pages 127-178, December.
    3. De Simone, Lisa, 2016. "Does a common set of accounting standards affect tax-motivated income shifting for multinational firms?," Journal of Accounting and Economics, Elsevier, vol. 61(1), pages 145-165.
    4. Behnam Karamshahi & Zeinab Azami & Tabandeh Salehi, 2018. "The association between competition power in markets and tax avoidance: evidence from Tehran stock exchange," Eurasian Business Review, Springer;Eurasia Business and Economics Society, vol. 8(3), pages 323-339, September.
    5. Martin Jacob & Anna Rohlfing-Bastian & Kai Sandner, 2021. "Why do not all firms engage in tax avoidance?," Review of Managerial Science, Springer, vol. 15(2), pages 459-495, February.
    6. Graham, John R. & Raedy, Jana S. & Shackelford, Douglas A., 2012. "Research in accounting for income taxes," Journal of Accounting and Economics, Elsevier, vol. 53(1), pages 412-434.
    7. Hasan, Iftekhar & Karavitis, Panagiotis & Kazakis, Pantelis & Leung, Woon Sau, 2019. "Corporate Social Responsibility and Profit Shifting," MPRA Paper 91580, University Library of Munich, Germany.
    8. Asiri, Mohammed & Al-Hadi, Ahmed & Taylor, Grantley & Duong, Lien, 2020. "Is corporate tax avoidance associated with investment efficiency?," The North American Journal of Economics and Finance, Elsevier, vol. 52(C).
    9. Paulo Jorge Varela Lopes Dias & Pedro Miguel Gomes Reis, 2018. "The relationship between the effective tax rate and the nominal rate," Contaduría y Administración, Accounting and Management, vol. 63(2), pages 23-24, Junio.
    10. Kim, Jeong-Bon & Li, Yinghua & Zhang, Liandong, 2011. "Corporate tax avoidance and stock price crash risk: Firm-level analysis," Journal of Financial Economics, Elsevier, vol. 100(3), pages 639-662, June.
    11. Lampenius, Niklas & Shevlin, Terry & Stenzel, Arthur, 2021. "Measuring corporate tax rate and tax base avoidance of U.S. Domestic and U.S. multinational firms," Journal of Accounting and Economics, Elsevier, vol. 72(1).
    12. Leung, Sidney C.M. & Richardson, Grant & Taylor, Grantley, 2019. "The effect of the general anti-avoidance rule on corporate tax avoidance in China," Journal of Contemporary Accounting and Economics, Elsevier, vol. 15(1), pages 105-117.
    13. Dechow, Patricia & Ge, Weili & Schrand, Catherine, 2010. "Understanding earnings quality: A review of the proxies, their determinants and their consequences," Journal of Accounting and Economics, Elsevier, vol. 50(2-3), pages 344-401, December.
    14. Cooper, Maggie & Nguyen, Quyen T.K., 2020. "Multinational enterprises and corporate tax planning: A review of literature and suggestions for a future research agenda," International Business Review, Elsevier, vol. 29(3).
    15. Bradshaw, Mark & Liao, Guanmin & Ma, Mark (Shuai), 2019. "Agency costs and tax planning when the government is a major Shareholder," Journal of Accounting and Economics, Elsevier, vol. 67(2), pages 255-277.
    16. Luca Menicacci, 2022. "Financial reporting and book-tax conformity: A review of the issues," FINANCIAL REPORTING, FrancoAngeli Editore, vol. 2022(1), pages 41-77.
    17. Chyz, James A. & Ching Leung, Winnie Siu & Zhen Li, Oliver & Meng Rui, Oliver, 2013. "Labor unions and tax aggressiveness," Journal of Financial Economics, Elsevier, vol. 108(3), pages 675-698.
    18. Armstrong, Christopher S. & Blouin, Jennifer L. & Jagolinzer, Alan D. & Larcker, David F., 2015. "Corporate Governance, Incentives, and Tax Avoidance," Research Papers 2134, Stanford University, Graduate School of Business.
    19. Habib Saragih, Arfah & Ali, Syaiful & Suwardi, Eko & Utomo, Hargo, 2024. "Finding the missing pieces to an optimal corporate tax savings: Information technology governance and internal information quality," International Journal of Accounting Information Systems, Elsevier, vol. 52(C).
    20. Qingyuan Li & Edward L. Maydew & Richard H. Willis & Li Xu, 2023. "Taxes and director independence: evidence from board reforms worldwide," Review of Accounting Studies, Springer, vol. 28(2), pages 910-957, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:joacli:v:42:y:2019:i:c:p:61-79. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/journal-of-accounting-literature .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.