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On the use of random forest for two-sample testing

Author

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  • Hediger, Simon
  • Michel, Loris
  • Näf, Jeffrey

Abstract

Following the line of classification-based two-sample testing, tests based on the Random Forest classifier are proposed. The developed tests are easy to use, require almost no tuning, and are applicable for any distribution on Rd. Furthermore, the built-in variable importance measure of the Random Forest gives potential insights into which variables make out the difference in distribution. An asymptotic power analysis for the proposed tests is conducted. Finally, two real-world applications illustrate the usefulness of the introduced methodology. To simplify the use of the method, the R-package “hypoRF” is provided.

Suggested Citation

  • Hediger, Simon & Michel, Loris & Näf, Jeffrey, 2022. "On the use of random forest for two-sample testing," Computational Statistics & Data Analysis, Elsevier, vol. 170(C).
    • Handle: RePEc:eee:csdana:v:170:y:2022:i:c:s0167947322000159
    DOI: 10.1016/j.csda.2022.107435
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    as
    1. Huang, Alan Guoming, 2009. "The cross section of cashflow volatility and expected stock returns," Journal of Empirical Finance, Elsevier, vol. 16(3), pages 409-429, June.
    2. Lakonishok, Josef & Shleifer, Andrei & Vishny, Robert W, 1994. "Contrarian Investment, Extrapolation, and Risk," Journal of Finance, American Finance Association, vol. 49(5), pages 1541-1578, December.
    3. Andrea L. Eisfeldt & Dimitris Papanikolaou, 2013. "Organization Capital and the Cross-Section of Expected Returns," Journal of Finance, American Finance Association, vol. 68(4), pages 1365-1406, August.
    4. Holthausen, Robert W. & Larcker, David F., 1992. "The prediction of stock returns using financial statement information," Journal of Accounting and Economics, Elsevier, vol. 15(2-3), pages 373-411, August.
    5. Frederico Belo & Xiaoji Lin & Santiago Bazdresch, 2014. "Labor Hiring, Investment, and Stock Return Predictability in the Cross Section," Journal of Political Economy, University of Chicago Press, vol. 122(1), pages 129-177.
    6. repec:bla:jfinan:v:44:y:1989:i:2:p:479-86 is not listed on IDEAS
    7. Piotroski, JD, 2000. "Value investing: The use of historical financial statement information to separate winners from losers," Journal of Accounting Research, Wiley Blackwell, vol. 38, pages 1-41.
    8. Novy-Marx, Robert, 2013. "The other side of value: The gross profitability premium," Journal of Financial Economics, Elsevier, vol. 108(1), pages 1-28.
    9. Chordia, Tarun & Subrahmanyam, Avanidhar & Anshuman, V. Ravi, 2001. "Trading activity and expected stock returns," Journal of Financial Economics, Elsevier, vol. 59(1), pages 3-32, January.
    10. Shihao Gu & Bryan Kelly & Dacheng Xiu, 2020. "Empirical Asset Pricing via Machine Learning," Review of Finance, European Finance Association, vol. 33(5), pages 2223-2273.
    11. Christopher W. Anderson & Luis Garcia‐Feijóo, 2006. "Empirical Evidence on Capital Investment, Growth Options, and Security Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 171-194, February.
    12. Kewei Hou & Chen Xue & Lu Zhang, 2015. "Editor's Choice Digesting Anomalies: An Investment Approach," The Review of Financial Studies, Society for Financial Studies, vol. 28(3), pages 650-705.
    13. Kewei Hou & Tobias J. Moskowitz, 2005. "Market Frictions, Price Delay, and the Cross-Section of Expected Returns," The Review of Financial Studies, Society for Financial Studies, vol. 18(3), pages 981-1020.
    14. Shihao Gu & Bryan Kelly & Dacheng Xiu, 2020. "Empirical Asset Pricing via Machine Learning," The Review of Financial Studies, Society for Financial Studies, vol. 33(5), pages 2223-2273.
    15. Amihud, Yakov, 2002. "Illiquidity and stock returns: cross-section and time-series effects," Journal of Financial Markets, Elsevier, vol. 5(1), pages 31-56, January.
    16. Fama, Eugene F. & French, Kenneth R., 2015. "A five-factor asset pricing model," Journal of Financial Economics, Elsevier, vol. 116(1), pages 1-22.
    17. Alexander J. McNeil & Rüdiger Frey & Paul Embrechts, 2015. "Quantitative Risk Management: Concepts, Techniques and Tools Revised edition," Economics Books, Princeton University Press, edition 2, number 10496.
    18. Ou, Jane A. & Penman, Stephen H., 1989. "Financial statement analysis and the prediction of stock returns," Journal of Accounting and Economics, Elsevier, vol. 11(4), pages 295-329, November.
    19. Andrew Ang & Robert J. Hodrick & Yuhang Xing & Xiaoyan Zhang, 2006. "The Cross‐Section of Volatility and Expected Returns," Journal of Finance, American Finance Association, vol. 61(1), pages 259-299, February.
    20. Balakrishnan, Karthik & Bartov, Eli & Faurel, Lucile, 2010. "Post loss/profit announcement drift," Journal of Accounting and Economics, Elsevier, vol. 50(1), pages 20-41, May.
    21. Jacob Thomas & Frank X. Zhang, 2011. "Tax Expense Momentum," Journal of Accounting Research, Wiley Blackwell, vol. 49(3), pages 791-821, June.
    22. Bali, Turan G. & Cakici, Nusret & Whitelaw, Robert F., 2011. "Maxing out: Stocks as lotteries and the cross-section of expected returns," Journal of Financial Economics, Elsevier, vol. 99(2), pages 427-446, February.
    23. Heitor Almeida & Murillo Campello, 2007. "Financial Constraints, Asset Tangibility, and Corporate Investment," The Review of Financial Studies, Society for Financial Studies, vol. 20(5), pages 1429-1460, 2007 12.
    24. Titman, Sheridan & Wei, K. C. John & Xie, Feixue, 2004. "Capital Investments and Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 39(4), pages 677-700, December.
    25. Richardson, Scott A. & Sloan, Richard G. & Soliman, Mark T. & Tuna, Irem, 2005. "Accrual reliability, earnings persistence and stock prices," Journal of Accounting and Economics, Elsevier, vol. 39(3), pages 437-485, September.
    26. Itay Kama, 2009. "On the Market Reaction to Revenue and Earnings Surprises," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 36(1‐2), pages 31-50, January.
    27. Selale Tuzel, 2010. "Corporate Real Estate Holdings and the Cross-Section of Stock Returns," The Review of Financial Studies, Society for Financial Studies, vol. 23(6), pages 2268-2302, June.
    28. Itay Kama, 2009. "On the Market Reaction to Revenue and Earnings Surprises," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 36(1-2), pages 31-50.
    29. Gérard Biau & Erwan Scornet, 2016. "Rejoinder on: A random forest guided tour," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(2), pages 264-268, June.
    30. Silke Janitza & Ender Celik & Anne-Laure Boulesteix, 2018. "A computationally fast variable importance test for random forests for high-dimensional data," Advances in Data Analysis and Classification, Springer;German Classification Society - Gesellschaft für Klassifikation (GfKl);Japanese Classification Society (JCS);Classification and Data Analysis Group of the Italian Statistical Society (CLADAG);International Federation of Classification Societies (IFCS), vol. 12(4), pages 885-915, December.
    31. Jeffrey Pontiff & Artemiza Woodgate, 2008. "Share Issuance and Cross‐sectional Returns," Journal of Finance, American Finance Association, vol. 63(2), pages 921-945, April.
    32. Barth, ME & Elliott, JA & Finn, MW, 1999. "Market rewards associated with patterns of increasing earnings," Journal of Accounting Research, Wiley Blackwell, vol. 37(2), pages 387-413.
    33. repec:bla:jfinan:v:59:y:2004:i:2:p:623-650 is not listed on IDEAS
    34. Michaely, Roni & Thaler, Richard H & Womack, Kent L, 1995. "Price Reactions to Dividend Initiations and Omissions: Overreaction or Drift?," Journal of Finance, American Finance Association, vol. 50(2), pages 573-608, June.
    35. Basu, S, 1977. "Investment Performance of Common Stocks in Relation to Their Price-Earnings Ratios: A Test of the Efficient Market Hypothesis," Journal of Finance, American Finance Association, vol. 32(3), pages 663-682, June.
    36. Liu, Weimin, 2006. "A liquidity-augmented capital asset pricing model," Journal of Financial Economics, Elsevier, vol. 82(3), pages 631-671, December.
    37. Gérard Biau & Erwan Scornet, 2016. "A random forest guided tour," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 25(2), pages 197-227, June.
    38. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    39. Litzenberger, Robert H & Ramaswamy, Krishna, 1982. "The Effects of Dividends on Common Stock Prices: Tax Effects or Information Effects?," Journal of Finance, American Finance Association, vol. 37(2), pages 429-443, May.
    40. Hong, Harrison & Kacperczyk, Marcin, 2009. "The price of sin: The effects of social norms on markets," Journal of Financial Economics, Elsevier, vol. 93(1), pages 15-36, July.
    41. Datar, Vinay T. & Y. Naik, Narayan & Radcliffe, Robert, 1998. "Liquidity and stock returns: An alternative test," Journal of Financial Markets, Elsevier, vol. 1(2), pages 203-219, August.
    42. Michael J. Cooper & Huseyin Gulen & Michael J. Schill, 2008. "Asset Growth and the Cross‐Section of Stock Returns," Journal of Finance, American Finance Association, vol. 63(4), pages 1609-1651, August.
    43. Kewei Hou & David T. Robinson, 2006. "Industry Concentration and Average Stock Returns," Journal of Finance, American Finance Association, vol. 61(4), pages 1927-1956, August.
    44. Jesse Hemerik & Jelle Goeman, 2018. "Exact testing with random permutations," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(4), pages 811-825, December.
    45. Tobias J. Moskowitz & Mark Grinblatt, 1999. "Do Industries Explain Momentum?," Journal of Finance, American Finance Association, vol. 54(4), pages 1249-1290, August.
    46. repec:bla:jfinan:v:43:y:1988:i:2:p:507-28 is not listed on IDEAS
    47. Re‐Jin Guo & Baruch Lev & Charles Shi, 2006. "Explaining the Short‐ and Long‐Term IPO Anomalies in the US by R&D," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 33(3‐4), pages 550-579, April.
    48. Jeremiah Green & John R. M. Hand & X. Frank Zhang, 2017. "The Characteristics that Provide Independent Information about Average U.S. Monthly Stock Returns," The Review of Financial Studies, Society for Financial Studies, vol. 30(12), pages 4389-4436.
    49. Palazzo, Berardino, 2012. "Cash holdings, risk, and expected returns," Journal of Financial Economics, Elsevier, vol. 104(1), pages 162-185.
    50. Banz, Rolf W., 1981. "The relationship between return and market value of common stocks," Journal of Financial Economics, Elsevier, vol. 9(1), pages 3-18, March.
    51. Valta, Philip, 2016. "Strategic Default, Debt Structure, and Stock Returns," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 51(1), pages 197-229, February.
    52. Re-Jin Guo & Baruch Lev & Charles Shi, 2006. "Explaining the Short- and Long-Term IPO Anomalies in the US by R&D," Journal of Business Finance & Accounting, Wiley Blackwell, vol. 33(3-4), pages 550-579.
    53. Jegadeesh, Narasimhan & Titman, Sheridan, 1993. "Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency," Journal of Finance, American Finance Association, vol. 48(1), pages 65-91, March.
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