Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/335335 
Year of Publication: 
2022
Citation: 
[Journal:] Entrepreneurial Business and Economics Review (EBER) [ISSN:] 2353-8821 [Volume:] 10 [Issue:] 1 [Year:] 2022 [Pages:] 65-80
Publisher: 
Krakow University of Economics, Centre for Strategic and International Entrepreneurship, Krakow
Abstract: 
Objective: The objective of the article is to present in a didactic and concise way the fundamental concepts of item response theory (IRT) and its possible application in the economic sciences and show the bias problem that occurred when estimating a latent variable such as financial capital in microentrepreneurs through IRT, assuming normal distribution in an unfounded a priori way. Research Design & Methods: We introduce a Bayesian hierarchical IRT model for graded responses where the latent traits have a skew normal distribution. Financial capital was measured by a survey applied to 384 microentrepreneurs from the metropolitan area of Bucaramanga (Colombia). The preliminary statistical analysis of data hints that the latent trait is not symmetric. Models that include a normal and a skew normal distribution were tested. Findings: We detected that assuming the distribution of the normal trait may overestimate the calculation of financial capital in microentrepreneurs, which would cause loans to be assigned without support. Implications & Recommendations: When applying IRT to economic matters such as in the measurement of financial capital, it is recommended to review the assumptions that this technique handles, especially the normality of the latent trait, since if assumed without verification or theoretical support can cause bias in parameters. Contribution & Value Added: An improvement is presented to the graded response model with normal distribution in IRT for the measurement of financial capital, paying special interest in providing a pedagogical explanation for a public related to economics.
Subjects: 
IRT in economics
Skew model
Latent trait
Graded Model
Bayesian method
Financial Capital
JEL: 
G21
C11
C52
Persistent Identifier of the first edition: 
Creative Commons License: 
cc-by-nd Logo
Document Type: 
Article

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