IDEAS home Printed from https://ideas.repec.org/p/iza/izadps/dp703.html
   My bibliography  Save this paper

New Wine in Old Bottles: A Sequential Estimation Technique for the LPM

Author

Listed:
  • Horrace, William C.

    (affiliation not available)

  • Oaxaca, Ronald L.

    (University of Arizona)

Abstract

The conditions under which ordinary least squares (OLS) is an unbiased and consistent estimator of the linear probability model (LPM) are unlikely to hold in many instances. Yet the LPM still may be the correct model or a good approximation to the probability generating process. A sequential least squares (SLS) estimation procedure is introduced that may outperform OLS in terms of finite sample bias and yields a consistent estimator. Monte Carlo simulations reveal that SLS outperforms OLS, probit and logit in terms of mean squared error of the predicted probabilities.

Suggested Citation

  • Horrace, William C. & Oaxaca, Ronald L., 2003. "New Wine in Old Bottles: A Sequential Estimation Technique for the LPM," IZA Discussion Papers 703, Institute of Labor Economics (IZA).
    • Handle: RePEc:iza:izadps:dp703
    as

    Download full text from publisher

    File URL: https://docs.iza.org/dp703.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Rosenthal, Robert W, 1989. "A Bounded-Rationality Approach to the Study of Noncooperative Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 18(3), pages 273-291.
    2. Janet Currie & Jonathan Gruber, 1996. "Health Insurance Eligibility, Utilization of Medical Care, and Child Health," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 111(2), pages 431-466.
    3. Amemiya, Takeshi, 1977. "Some Theorems in the Linear Probability Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 645-650, October.
    4. James J. Heckman & James M. Snyder, Jr., 1996. "Linear Probability Models of the Demand for Attributes with an Empirical Application to Estimating the Preferences of Legislators," NBER Working Papers 5785, National Bureau of Economic Research, Inc.
    5. Robert W. Fairlie & William A. Sundstrom, 1999. "The Emergence, Persistence, and Recent Widening of the Racial Unemployment Gap," ILR Review, Cornell University, ILR School, vol. 52(2), pages 252-270, January.
    6. Lukashin, Youri Pavlovich, 2000. "Econometric Analysis of Managers' Judgements on the Determinants of the Financial Situation in Russia," Economic Change and Restructuring, Springer, vol. 33(1-2), pages 85-101.
    Full references (including those not matched with items on IDEAS)

    Citations

    Blog mentions

    As found by EconAcademics.org, the blog aggregator for Economics research:
    1. Another Gripe About the Linear Probability Model
      by Dave Giles in Econometrics Beat: Dave Giles' Blog on 2012-06-01 21:11:00

    Citations

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


    Cited by:

    1. Steven Ross & Yves Zenou, 2003. "Shirking, Commuting and Labor Market Outcomes," Working papers 2003-41, University of Connecticut, Department of Economics.
    2. Brännström, Lars & Vinnerljung, Bo & Hjern, Anders, 2015. "Risk factors for teenage childbirths among child welfare clients: Findings from Sweden," Children and Youth Services Review, Elsevier, vol. 53(C), pages 44-51.
    3. Ross, Stephen L. & Zenou, Yves, 2008. "Are shirking and leisure substitutable? An empirical test of efficiency wages based on urban economic theory," Regional Science and Urban Economics, Elsevier, vol. 38(5), pages 498-517, September.

    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. Horrace, William C. & Oaxaca, Ronald L., 2006. "Results on the bias and inconsistency of ordinary least squares for the linear probability model," Economics Letters, Elsevier, vol. 90(3), pages 321-327, March.
    2. Tuttle, Charlotte & Beatty, Timothy K. M., 2017. "The Effects of Energy Price Shocks on Household Food Security in Low-Income Households," Economic Research Report 260484, United States Department of Agriculture, Economic Research Service.
    3. Beatty, Timothy K.M. & Tuttle, Charlotte, 2014. "The Effect of Energy Price Shocks on Household Food Security: Do Federal Assistance Programs Mitigate the Effects of Price Shocks," 2014 Annual Meeting, July 27-29, 2014, Minneapolis, Minnesota 170546, Agricultural and Applied Economics Association.
    4. Joseph F. Hair & Christian M. Ringle & Siegfried P. Gudergan & Andreas Fischer & Christian Nitzl & Con Menictas, 2019. "Partial least squares structural equation modeling-based discrete choice modeling: an illustration in modeling retailer choice," Business Research, Springer;German Academic Association for Business Research, vol. 12(1), pages 115-142, April.
    5. Jonathan Gruber & Aaron Yelowitz, 1999. "Public Health Insurance and Private Savings," Journal of Political Economy, University of Chicago Press, vol. 107(6), pages 1249-1274, December.
    6. Charles Courtemanche & James Marton & Benjamin Ukert & Aaron Yelowitz & Daniela Zapata, 2018. "Early Effects of the Affordable Care Act on Health Care Access, Risky Health Behaviors, and Self‐Assessed Health," Southern Economic Journal, John Wiley & Sons, vol. 84(3), pages 660-691, January.
    7. Alex Hollingsworth & Krzysztof Karbownik & Melissa A. Thomasson & Anthony Wray, 2022. "The Gift of a Lifetime: The Hospital, Modern Medicine, and Mortality," NBER Working Papers 30663, National Bureau of Economic Research, Inc.
    8. Michael Kosfeld, 2002. "Stochastic strategy adjustment in coordination games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 321-339.
    9. Anthony T. Lo Sasso & Bruce D. Meyer, 2006. "The Health Care Safety Net and Crowd-Out of Private Health Insurance," NBER Working Papers 11977, National Bureau of Economic Research, Inc.
    10. Kirill Borusyak & Peter Hull & Xavier Jaravel, 2023. "Design-Based Identification with Formula Instruments: A Review," NBER Working Papers 31393, National Bureau of Economic Research, Inc.
    11. Currie, Janet & Fahr, John, 2005. "Medicaid managed care: effects on children's Medicaid coverage and utilization," Journal of Public Economics, Elsevier, vol. 89(1), pages 85-108, January.
    12. Baicker, Katherine & Clemens, Jeffrey & Singhal, Monica, 2012. "The rise of the states: U.S. fiscal decentralization in the postwar period," Journal of Public Economics, Elsevier, vol. 96(11), pages 1079-1091.
    13. Natasha V. Pilkauskas & Katherine Michelmore, 2023. "Who’s Caring for the Kids? The Earned Income Tax Credit and Childcare Arrangements," The ANNALS of the American Academy of Political and Social Science, , vol. 706(1), pages 37-64, March.
    14. Gregori Galofré-Vilà & Martin McKee & David Stuckler, 2022. "Quantifying the mortality impact of the 1935 old-age assistance," European Review of Economic History, European Historical Economics Society, vol. 26(1), pages 62-77.
    15. Karen Clay & Joshua A. Lewis & Edson R. Severnini & Xiao Wang, 2020. "The Value of Health Insurance during a Crisis: Effects of Medicaid Implementation on Pandemic Influenza Mortality," NBER Working Papers 27120, National Bureau of Economic Research, Inc.
    16. Steven Berry & James Levinsohn & Ariel Pakes, 2004. "Differentiated Products Demand Systems from a Combination of Micro and Macro Data: The New Car Market," Journal of Political Economy, University of Chicago Press, vol. 112(1), pages 68-105, February.
    17. Milovanska-Farrington, Stefani, 2019. "The effect of family welfare support on the likelihood of having another child and parents’ labor supply," Research in Economics, Elsevier, vol. 73(3), pages 243-263.
    18. Michael F. Lovenheim & Randall Reback & Leigh Wedenoja, 2016. "How Does Access to Health Care Affect Teen Fertility and High School Dropout Rates? Evidence from School-based Health Centers," NBER Working Papers 22030, National Bureau of Economic Research, Inc.
    19. Gittleman Maury, 2011. "Medicaid and Wealth: A Re-Examination," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 11(1), pages 1-25, November.
    20. Arianna Degan & Antonio Merlo, 2006. "Do Voters Vote Sincerely?," PIER Working Paper Archive 06-008, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.

    More about this item

    Keywords

    linear probability model; sequential least squares; consistency; Monte Carlo;
    All these keywords.

    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    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:iza:izadps:dp703. 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: Holger Hinte (email available below). General contact details of provider: https://edirc.repec.org/data/izaaade.html .

    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.