Effect of dichotomization on the latent structure of data
- We investigated whether dichotomous data showed the same latent structure as the interval-level data from which they originated. Given constancy of dimensionality and factor loadings reflecting the latent structure of data, the focus was on the variance of the latent variable of a confirmatory factor model. This variance was shown to summarize the information provided by the factor loadings. The results of a simulation study did not reveal exact correspondence of the variances of the latent variables derived from interval-level and dichotomous data but shrinkage. Since shrinkage occurred systematically, methods for recovering the original variance were fleshed out and evaluated.
Author: | Karl Schweizer, Andreas GoldGND, Dorothea Krampen |
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URN: | urn:nbn:de:hebis:30:3-633915 |
DOI: | https://doi.org/10.3389/fams.2021.723258 |
ISSN: | 2297-4687 |
Parent Title (English): | Frontiers in applied mathematics and statistics |
Publisher: | Frontiers Media |
Place of publication: | Lausanne |
Document Type: | Article |
Language: | English |
Date of Publication (online): | 2021/10/14 |
Date of first Publication: | 2021/10/14 |
Publishing Institution: | Universitätsbibliothek Johann Christian Senckenberg |
Release Date: | 2022/01/18 |
Tag: | confirmatory factor analysis; dichotomization; dichotomous data; interval-level data; latent structure; shrinkage correction |
Volume: | 7 |
Issue: | art. 723258 |
Page Number: | 9 |
First Page: | 1 |
Last Page: | 9 |
HeBIS-PPN: | 491316232 |
Institutes: | Psychologie und Sportwissenschaften |
Dewey Decimal Classification: | 1 Philosophie und Psychologie / 15 Psychologie / 150 Psychologie |
5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik | |
Sammlungen: | Universitätspublikationen |
Open-Access-Publikationsfonds: | Psychologie und Sportwissenschaften |
Licence (German): | Creative Commons - Namensnennung 4.0 |