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7 - Comparing Logistic Regression, Multinomial Regression, Classification Trees and Random Forests Applied to Ternary Variables

Three-Way Genitive Variation in English

from Part III - Perspectives on Multifactorial Methods

Published online by Cambridge University Press:  06 May 2022

Ole Schützler
Affiliation:
Universität Leipzig
Julia Schlüter
Affiliation:
Universität Bamberg
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Summary

The authors apply logistic regression, multinomial regression, classification trees and random forests to a ternary outcome variable: the variation between the ’s-genitive, the of-genitive and functionally equivalent noun + noun combinations. The statistical approaches discussed fall into regression models on the one hand and classification trees on the other. Specifically, as an alternative to successive binomial regression analyses, the authors implement a multinomial model, which can analyse the entire dataset with three outcome categories simultaneously. Further, a basic classification tree is calculated alongside a more complex (and more robust) random forest. The chapter does not only weigh advantages and shortcomings of all four models, but it also explicates the different rationales and interpretations that come with them. As a major insight, it emerges that the nature of the dataset, the analytic purpose and the statistical model are interdependent and condition each other in several non-trivial respects.

Type
Chapter
Information
Data and Methods in Corpus Linguistics
Comparative Approaches
, pp. 194 - 223
Publisher: Cambridge University Press
Print publication year: 2022

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References

Further Reading

Agresti, Alan. 2013. Categorical Data Analysis. Hoboken, NJ: John Wiley & Sons, Inc.Google Scholar
James, Gareth, Daniela Witten, , Trevor Hastie, and Robert Tibshirani, . 2013. An Introduction to Statistical Learning with Applications in R. New York: Springer.Google Scholar
Vanderschueren, Clara, and Ludovic De Cuypere, . 2014. The Inflected/Non-Inflected Infinitive Alternation in Portuguese Adverbial Clauses. A Corpus Analysis. Language Sciences 41. 153–74.Google Scholar

References

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