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How Much Does the Cardinal Treatment of Ordinal Variables Matter? An Empirical Investigation

Bibliographic Data

ID7971030
AuthorsJeffrey R Bloem (0000-0002-4995-3043, corresponding author)
Year2022
Volume30
Issue2
Pages197-213
Publication date2022-04-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePolitical Analysis (JOURNAL)
Journal identifiersISSN: 1047-1987 • E-ISSN: 1476-4989
PublisherCambridge University Press (CUP) (PUBLISHER)
DOI10.1017/pan.2020.55
OpenAlexW3133989516
LanguageEN
Citations received5
References cited72

Many researchers use an ordinal scale to quantitatively measure and analyze concepts. Theoretically valid empirical estimates are robust in sign to any monotonic increasing transformation of the ordinal scale. This presents challenges for the point-identification of important parameters of interest. I develop a partial identification method for testing the robustness of empirical estimates to a range of plausible monotonic increasing transformations of the ordinal scale. This method allows for the calculation of plausible bounds around effect estimates. I illustrate this method by revisiting analysis by Nunn and Wantchekon (2011, American Economic Review , 101, 3221–3252) on the slave trade and trust in sub-Saharan Africa. Supplemental illustrations examine results from (i) Aghion et al . (2016, American Economic Review , 106, 3869–3897) on creative destruction and subjective well-being and (ii) Bond and Lang (2013, The Review of Economics and Statistics , 95, 1468–1479) on the fragility of the black–white test score gap

Econometrics · Economics · Empirical research · Identification (biology · Monotonic function · Ordinal data · Ordinal Scale · Range (aeronautics · Robustness (evolution · Scale (ratio · Statistics · Computer Science · Decision-Making and Behavioral Economics · Income, Poverty, and Inequality · Mathematics · Psychological Well-being and Life Satisfaction

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Unique citing works5
Citations per year0,63
Citation span2018 - 2026 (9)
Citation velocitycurrent
Highly citedNo
Citation typesNeutral: 4

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