Exploring Discrete Factor Analysis with the discFA Package in R
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866918060157304832 |
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| author | Belaghi, Reza Arabi Asar, Yasin Larsson, Rolf |
| author_facet | Belaghi, Reza Arabi Asar, Yasin Larsson, Rolf |
| contents | Literature suggested that using the traditional factor analysis for the count data may be inappropriate. With that in mind, discrete factor analysis builds on fitting systems of dependent discrete random variables to data. The data should be in the form of non-negative counts. Data may also be truncated at some positive integer value. The discFA package in R allows for two distributions: Poisson and Negative Binomial, in combination with possible zero inflation and possible truncation, hence, eight different alternatives. A forward search algorithm is employed to find the model optimal factor model with the lowest AIC. Several different illustrative examples from psychology, agriculture, car industry, and a simulated data will be analyzed at the end. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_13309 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Exploring Discrete Factor Analysis with the discFA Package in R Belaghi, Reza Arabi Asar, Yasin Larsson, Rolf Methodology Applications Computation 62H25 Literature suggested that using the traditional factor analysis for the count data may be inappropriate. With that in mind, discrete factor analysis builds on fitting systems of dependent discrete random variables to data. The data should be in the form of non-negative counts. Data may also be truncated at some positive integer value. The discFA package in R allows for two distributions: Poisson and Negative Binomial, in combination with possible zero inflation and possible truncation, hence, eight different alternatives. A forward search algorithm is employed to find the model optimal factor model with the lowest AIC. Several different illustrative examples from psychology, agriculture, car industry, and a simulated data will be analyzed at the end. |
| title | Exploring Discrete Factor Analysis with the discFA Package in R |
| topic | Methodology Applications Computation 62H25 |
| url | https://arxiv.org/abs/2506.13309 |