Exploring curvilinearity through fractional polynomials in management research

dc.contributor.authorNikolaeva, Ralitza
dc.contributor.authorBhatnagar, Amit
dc.contributor.authorGhose, Sanjoy
dc.date.accessioned2016-04-26T05:32:55Z
dc.date.available2016-04-26T05:32:55Z
dc.date.issued2015
dc.description.abstractImprecise theories do not give enough guidelines for empirical analyses. A paradigmatic shift from linear to curvilinear relationships is necessary to advance management theories. Within the framework of the abductive generation of theories, the authors present a data exploratory technique for the identification of functional relationships between variables. Originating in medical-research, the method uses fractional polynomials to test for alternative curvilinear relationships. It is a compromise between non-parametric curve fitting and conventional polynomials. The multivariable fractional polynomial (MFP) technique is a good tool for exploratory research when theoretical knowledge is non-specific and thus, very useful in phenomena discovery. The authors conduct simulations to demonstrate MFP’s performance in various scenarios. The technique’s major benefit is the uncovering of non-traditional shapes that cannot be modeled by logarithmic or quadratic functions. While MFP is not suitable for small samples, there does not seem to be a downside of overfitting the data as the fitted curves are very close to the true ones. The authors call for a routine application of the procedure in exploratory studies involving medium and large sample sizes.ru_RU
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/1434
dc.language.isoenru_RU
dc.publisherOrganizational Research Methods, Forthcomingru_RU
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectfractional polynomialsru_RU
dc.subjectcurvilinear relationshipsru_RU
dc.subjectnon-monotonic curvesru_RU
dc.subjectabductive methodru_RU
dc.titleExploring curvilinearity through fractional polynomials in management researchru_RU
dc.typeArticleru_RU

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