IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0239821.html
   My bibliography  Save this article

Measurement protocols, random-variable-valued measurements, and response process error: Estimation and inference when sample data are not deterministic

Author

Listed:
  • Edward Kroc

Abstract

Random-variable-valued measurements (RVVMs) are proposed as a new framework for treating measurement processes that generate non-deterministic sample data. They operate by assigning a probability measure to each observed sample instantiation of a global measurement process for some particular random quantity of interest, thus allowing for the explicit quantification of response process error. Common methodologies to date treat only measurement processes that generate fixed values for each sample unit, thus generating full (though possibly inaccurate) information on the random quantity of interest. However, many applied research situations in the non-experimental sciences naturally contain response process error, e.g. when psychologists assess patient agreement with various diagnostic survey items or when conservation biologists perform formal assessments to classify species-at-risk. Ignoring the sample-unit-level uncertainty of response process error in such measurement processes can greatly compromise the quality of resulting inferences. In this paper, a general theory of RVVMs is proposed to handle response process error, and several applications are considered.

Suggested Citation

  • Edward Kroc, 2020. "Measurement protocols, random-variable-valued measurements, and response process error: Estimation and inference when sample data are not deterministic," PLOS ONE, Public Library of Science, vol. 15(10), pages 1-25, October.
    • Handle: RePEc:plo:pone00:0239821
    DOI: 10.1371/journal.pone.0239821
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0239821
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0239821&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0239821?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
    ---><---

    References listed on IDEAS

    as
    1. Jerry Hausman, 2001. "Mismeasured Variables in Econometric Analysis: Problems from the Right and Problems from the Left," Journal of Economic Perspectives, American Economic Association, vol. 15(4), pages 57-67, Fall.
    2. Donald Zimmerman, 1975. "Probability spaces, hilbert spaces, and the axioms of test theory," Psychometrika, Springer;The Psychometric Society, vol. 40(3), pages 395-412, September.
    Full references (including those not matched with items on IDEAS)

    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. Adele Bergin, 2015. "Employer Changes and Wage Changes: Estimation with Measurement Error in a Binary Variable," LABOUR, CEIS, vol. 29(2), pages 194-223, June.
    2. Timofeeva, Anastasiia, 2015. "On endogeneity of consumer expenditures in the estimation of households demand system," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 37(1), pages 87-106.
    3. Catherine Fuss & Angelos Theodorakopoulos, 2018. "Compositional Changes in Aggregate Productivity in an Era of Globalisation and Financial Crisis," Working Papers of VIVES - Research Centre for Regional Economics 627696, KU Leuven, Faculty of Economics and Business (FEB), VIVES - Research Centre for Regional Economics.
    4. Lodefalk, Magnus & Kyvik Nordås, Hildegunn, 2017. "Trading firms and trading costs in services: The case of Sweden," Working Papers 2017:4, Örebro University, School of Business.
    5. Prasanna Tambe & Lorin M. Hitt, 2014. "Measuring Information Technology Spillovers," Information Systems Research, INFORMS, vol. 25(1), pages 53-71, March.
    6. repec:spo:wpmain:info:hdl:2441/vbu6kd1s68o6r34k5bcm3iopv is not listed on IDEAS
    7. Ayala Wineman & Timothy Njagi & C. Leigh Anderson & Travis W. Reynolds & Didier Yélognissè Alia & Priscilla Wainaina & Eric Njue & Pierre Biscaye & Miltone W. Ayieko, 2020. "A Case of Mistaken Identity? Measuring Rates of Improved Seed Adoption in Tanzania Using DNA Fingerprinting," Journal of Agricultural Economics, Wiley Blackwell, vol. 71(3), pages 719-741, September.
    8. Seung Jung Lee & Lucy Qian Liu & Viktors Stebunovs, 2017. "Risk Taking and Interest Rates: Evidence from Decades in the Global Syndicated Loan Market," IMF Working Papers 2017/016, International Monetary Fund.
    9. David I.Stern, 2009. "Between estimates of the environmental Kuznets curve," Environmental Economics Research Hub Research Reports 0934, Environmental Economics Research Hub, Crawford School of Public Policy, The Australian National University.
    10. Sule Alan & Orazio Attanasio & Martin Browning, 2009. "Estimating Euler equations with noisy data: two exact GMM estimators," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(2), pages 309-324, March.
    11. Maurizio Lisciandra & Carlo Migliardo, 2017. "An Empirical Study of the Impact of Corruption on Environmental Performance: Evidence from Panel Data," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 68(2), pages 297-318, October.
    12. Andrea Colombo & Olivia D'Aoust & Olivier Sterck, 2019. "From Rebellion to Electoral Violence: Evidence from Burundi," Economic Development and Cultural Change, University of Chicago Press, vol. 67(2), pages 333-368.
    13. Svavarsdottir, Gudrun & Clark, Andrew E. & Stefansson, Gunnar & Asgeirsdottir, Tinna Laufey, 2024. "Where does money matter more?," Journal of Economic Behavior & Organization, Elsevier, vol. 221(C), pages 350-365.
    14. Gandhi, Sahil & Green, Richard K. & Patranabis, Shaonlee, 2022. "Insecure property rights and the housing market: Explaining India’s housing vacancy paradox," Journal of Urban Economics, Elsevier, vol. 131(C).
    15. Marianne Page, 2006. "Father's Education and Children's Human Capital: Evidence from the World War II GI Bill," Working Papers 84, University of California, Davis, Department of Economics.
    16. Bradshaw, Mark T. & Christensen, Theodore E. & Gee, Kurt H. & Whipple, Benjamin C., 2018. "Analysts’ GAAP earnings forecasts and their implications for accounting research," Journal of Accounting and Economics, Elsevier, vol. 66(1), pages 46-66.
    17. Yokoo, Hide-Fumi & Arimura, Toshi H. & Chattopadhyay, Mriduchhanda & Katayama, Hajime, 2023. "Subjective risk belief function in the field: Evidence from cooking fuel choices and health in India," Journal of Development Economics, Elsevier, vol. 161(C).
    18. Madeira, Carlos, 2024. "The impact of macroprudential policies on industrial growth," Journal of International Money and Finance, Elsevier, vol. 145(C).
    19. Ma, Chunbo & Stern, David I., 2016. "Long-run estimates of interfuel and interfactor elasticities," Resource and Energy Economics, Elsevier, vol. 46(C), pages 114-130.
    20. Carlsson, Fredrik & Kataria, Mitesh, 2016. "How are you? How's it going? What's up? What's happening? Nudging people to tell us how they really are," Working Papers in Economics 649, University of Gothenburg, Department of Economics.
    21. Paul J. Devereux & Burton A. Weisbrod, 2006. "Does “Satisfaction†with Local Public Services Affect Complaints (Voice) and Geographic Mobility (Exit)?," Public Finance Review, , vol. 34(2), pages 123-147, March.

    More about this item

    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:plo:pone00:0239821. 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: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    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.