IDEAS home Printed from https://ideas.repec.org/a/gam/jecnmx/v7y2019i2p21-d231401.html
   My bibliography  Save this article

Interval-Based Hypothesis Testing and Its Applications to Economics and Finance

Author

Listed:
  • Jae H. Kim

    (Department of Economics and Finance, La Trobe University, Bundoora, VIC 3086, Australia)

  • Andrew P. Robinson

    (School of Mathematics and Statistics, University of Melbourne, Parkville, VIC 3010, Australia)

Abstract

This paper presents a brief review of interval-based hypothesis testing, widely used in bio-statistics, medical science, and psychology, namely, tests for minimum-effect, equivalence, and non-inferiority. We present the methods in the contexts of a one-sample t -test and a test for linear restrictions in a regression. We present applications in testing for market efficiency, validity of asset-pricing models, and persistence of economic time series. We argue that, from the point of view of economics and finance, interval-based hypothesis testing provides more sensible inferential outcomes than those based on point-null hypothesis. We propose that interval-based tests be routinely employed in empirical research in business, as an alternative to point null hypothesis testing, especially in the new era of big data.

Suggested Citation

  • Jae H. Kim & Andrew P. Robinson, 2019. "Interval-Based Hypothesis Testing and Its Applications to Economics and Finance," Econometrics, MDPI, vol. 7(2), pages 1-22, May.
    • Handle: RePEc:gam:jecnmx:v:7:y:2019:i:2:p:21-:d:231401
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2225-1146/7/2/21/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2225-1146/7/2/21/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Startz, Richard, 2014. "Choosing the More Likely Hypothesis," Foundations and Trends(R) in Econometrics, now publishers, vol. 7(2), pages 119-189, November.
    2. Kleijnen, Jack P. C., 1995. "Verification and validation of simulation models," European Journal of Operational Research, Elsevier, vol. 82(1), pages 145-162, April.
    3. David Hirshleifer & Tyler Shumway, 2003. "Good Day Sunshine: Stock Returns and the Weather," Journal of Finance, American Finance Association, vol. 58(3), pages 1009-1032, June.
    4. Grossman, Sanford J & Stiglitz, Joseph E, 1980. "On the Impossibility of Informationally Efficient Markets," American Economic Review, American Economic Association, vol. 70(3), pages 393-408, June.
    5. Kandel, Shmuel & Stambaugh, Robert F, 1996. "On the Predictability of Stock Returns: An Asset-Allocation Perspective," Journal of Finance, American Finance Association, vol. 51(2), pages 385-424, June.
    6. John Y. Campbell & N. Gregory Mankiw, 1987. "Are Output Fluctuations Transitory?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(4), pages 857-880.
    7. DeJong, David N, et al, 1992. "Integration versus Trend Stationarity in Time Series," Econometrica, Econometric Society, vol. 60(2), pages 423-433, March.
    8. Keuzenkamp, Hugo A. & Magnus, Jan R., 1995. "On tests and significance in econometrics," Journal of Econometrics, Elsevier, vol. 67(1), pages 5-24, May.
    9. Campbell R. Harvey, 2017. "Presidential Address: The Scientific Outlook in Financial Economics," Journal of Finance, American Finance Association, vol. 72(4), pages 1399-1440, August.
    10. Choi,In, 2015. "Almost All about Unit Roots," Cambridge Books, Cambridge University Press, number 9781107097339, November.
    11. Mark J. Kamstra & Lisa A. Kramer & Maurice D. Levi, 2003. "Winter Blues: A SAD Stock Market Cycle," American Economic Review, American Economic Association, vol. 93(1), pages 324-343, March.
    12. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    13. De Long, J Bradford & Lang, Kevin, 1992. "Are All Economic Hypotheses False?," Journal of Political Economy, University of Chicago Press, vol. 100(6), pages 1257-1272, December.
    14. Gibbons, Michael R & Ross, Stephen A & Shanken, Jay, 1989. "A Test of the Efficiency of a Given Portfolio," Econometrica, Econometric Society, vol. 57(5), pages 1121-1152, September.
    15. Lavergne, Pascal, 2014. "Model equivalence tests in a parametric framework," Journal of Econometrics, Elsevier, vol. 178(P3), pages 414-425.
    16. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
    17. Deirdre N. McCloskey & Stephen T. Ziliak, 1996. "The Standard Error of Regressions," Journal of Economic Literature, American Economic Association, vol. 34(1), pages 97-114, March.
    18. Kim, Jae H. & Ji, Philip Inyeob, 2015. "Significance testing in empirical finance: A critical review and assessment," Journal of Empirical Finance, Elsevier, vol. 34(C), pages 1-14.
    19. Saunders, Edward M, Jr, 1993. "Stock Prices and Wall Street Weather," American Economic Review, American Economic Association, vol. 83(5), pages 1337-1345, December.
    20. Kim, Jae H., 2017. "Stock returns and investors' mood: Good day sunshine or spurious correlation?," International Review of Financial Analysis, Elsevier, vol. 52(C), pages 94-103.
    21. Carhart, Mark M, 1997. "On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
    22. Jae H. Kim & In Choi, 2017. "Unit Roots in Economic and Financial Time Series: A Re-Evaluation at the Decision-Based Significance Levels," Econometrics, MDPI, vol. 5(3), pages 1-23, September.
    23. Kim, Jae H., 2004. "Bootstrap prediction intervals for autoregression using asymptotically mean-unbiased estimators," International Journal of Forecasting, Elsevier, vol. 20(1), pages 85-97.
    24. Schotman, Peter C & van Dijk, Herman K, 1991. "On Bayesian Routes to Unit Roots," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(4), pages 387-401, Oct.-Dec..
    25. Jae H. Kim & Kamran Ahmed & Philip Inyeob Ji, 2018. "Significance Testing in Accounting Research: A Critical Evaluation Based on Evidence," Abacus, Accounting Foundation, University of Sydney, vol. 54(4), pages 524-546, December.
    26. Lothian, James R & Taylor, Mark P, 1996. "Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 488-509, June.
    27. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    28. Kalman J. Cohen & Richard M. Cyert, 1961. "Computer Models in Dynamic Economics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 75(1), pages 112-127.
    29. repec:bla:ecorec:v:64:y:1988:i:187:p:331-35 is not listed on IDEAS
    30. Jae H. Kim, 2019. "Tackling False Positives In Business Research: A Statistical Toolbox With Applications," Journal of Economic Surveys, Wiley Blackwell, vol. 33(3), pages 862-895, July.
    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. Jan S. Krause & Gerrit Nanninga & Patrick Ring & Ulrich Schmidt & Daniel Schunk, 2020. "The Influence of Ambient Temperature on Social Perception and Social Behavior," Working Papers 2013, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
    2. Jae H. Kim, 2022. "Moving to a world beyond p-value," Review of Managerial Science, Springer, vol. 16(8), pages 2467-2493, November.
    3. Pankaj Agrrawal, 2023. "The Gibbons, Ross, and Shanken Test for Portfolio Efficiency: A Note Based on Its Trigonometric Properties," Mathematics, MDPI, vol. 11(9), pages 1-19, May.
    4. Krause, Jan S. & Brandt, Gerrit & Schmidt, Ulrich & Schunk, Daniel, 2023. "Don’t sweat it: Ambient temperature does not affect social behavior and perception," Journal of Economic Psychology, Elsevier, vol. 99(C).

    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. Jae H. Kim & Kamran Ahmed & Philip Inyeob Ji, 2018. "Significance Testing in Accounting Research: A Critical Evaluation Based on Evidence," Abacus, Accounting Foundation, University of Sydney, vol. 54(4), pages 524-546, December.
    2. Kim, Jae & Choi, In, 2015. "Unit Roots in Economic and Financial Time Series: A Re-Evaluation based on Enlightened Judgement," MPRA Paper 68411, University Library of Munich, Germany.
    3. Jae H. Kim, 2022. "Moving to a world beyond p-value," Review of Managerial Science, Springer, vol. 16(8), pages 2467-2493, November.
    4. Kim, Jae H. & Shamsuddin, Abul, 2023. "Stock market anomalies: An extreme bounds analysis," International Review of Financial Analysis, Elsevier, vol. 90(C).
    5. Kim, Jae H., 2017. "Stock returns and investors' mood: Good day sunshine or spurious correlation?," International Review of Financial Analysis, Elsevier, vol. 52(C), pages 94-103.
    6. Jae H. Kim & In Choi, 2017. "Unit Roots in Economic and Financial Time Series: A Re-Evaluation at the Decision-Based Significance Levels," Econometrics, MDPI, vol. 5(3), pages 1-23, September.
    7. Cujean, Julien & Andrei, Daniel & Fournier, Mathieu, 2019. "The Low-Minus-High Portfolio and the Factor Zoo," CEPR Discussion Papers 14153, C.E.P.R. Discussion Papers.
    8. Weng, Pei-Shih, 2018. "Lucky issuance: The role of numerological superstitions in irrational return premiums," Pacific-Basin Finance Journal, Elsevier, vol. 47(C), pages 79-91.
    9. Jae H. Kim & In Choi, 2021. "Choosing the Level of Significance: A Decision‐theoretic Approach," Abacus, Accounting Foundation, University of Sydney, vol. 57(1), pages 27-71, March.
    10. Adam Zaremba & Jacob Koby Shemer, 2018. "Price-Based Investment Strategies," Springer Books, Springer, number 978-3-319-91530-2, April.
    11. Massimiliano Castellani & Pierpaolo Pattitoni & Roberto Patuelli, 2015. "Abnormal Returns of Soccer Teams," Journal of Sports Economics, , vol. 16(7), pages 735-759, October.
    12. Fletcher, Jonathan, 2018. "Bayesian tests of global factor models," Journal of Empirical Finance, Elsevier, vol. 48(C), pages 279-289.
    13. González-Sánchez, Mariano & Arguedas Sanz, Raquel & Segovia San Juan, Ana I., 2024. "The extreme temperature factor in asset pricing models: Evidence from Europe," Finance Research Letters, Elsevier, vol. 66(C).
    14. Dong, Dayong & Wu, Keke & Fang, Jianchun & Gozgor, Giray & Yan, Cheng, 2022. "Investor attention factors and stock returns: Evidence from China," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 77(C).
    15. Harvey, Campbell R. & Liu, Yan, 2021. "Lucky factors," Journal of Financial Economics, Elsevier, vol. 141(2), pages 413-435.
    16. Atilgan, Yigit & Demirtas, K. Ozgur & Gunaydin, A. Doruk & Kirli, Imra, 2023. "Mood seasonality around the globe," Pacific-Basin Finance Journal, Elsevier, vol. 82(C).
    17. Muhammad Ishaq Bhatti & Jae H. Kim, 2020. "Towards a New Paradigm for Statistical Evidence in the Use of p -Value," Econometrics, MDPI, vol. 9(1), pages 1-3, December.
    18. Matthew Muntifering, 2021. "Air pollution, investor sentiment and excessive returns," Journal of Asset Management, Palgrave Macmillan, vol. 22(2), pages 110-119, March.
    19. Kewei Hou & Chen Xue & Lu Zhang, 2017. "Replicating Anomalies," NBER Working Papers 23394, National Bureau of Economic Research, Inc.
    20. Bryzgalova, Svetlana & Huang, Jiantao & Julliard, Christian, 2023. "Bayesian solutions for the factor zoo: we just ran two quadrillion models," LSE Research Online Documents on Economics 126151, London School of Economics and Political Science, LSE Library.

    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:gam:jecnmx:v:7:y:2019:i:2:p:21-:d:231401. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.