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.
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| Author: | Karl Schweizer, Andreas GoldGND, Dorothea Krampen |
|---|---|
| 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 |
