Stochastic Expectation Maximization Algorithm for Linear Mixed-Effects Model with Interactions in the Presence of Incomplete Data
The purpose of this paper is to propose a new algorithm based on stochastic expectation maximization (SEM) to deal with the problem of unobserved values when multiple interactions in a linear mixed-effects model (LMEM) are present. We test the effectiveness of the proposed algorithm with the stochas...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-03-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/25/3/473 |
| _version_ | 1797611934380457984 |
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| author | Alandra Zakkour Cyril Perret Yousri Slaoui |
| author_facet | Alandra Zakkour Cyril Perret Yousri Slaoui |
| author_sort | Alandra Zakkour |
| collection | DOAJ |
| description | The purpose of this paper is to propose a new algorithm based on stochastic expectation maximization (SEM) to deal with the problem of unobserved values when multiple interactions in a linear mixed-effects model (LMEM) are present. We test the effectiveness of the proposed algorithm with the stochastic approximation expectation maximization (SAEM) and Monte Carlo Markov chain (MCMC) algorithms. This comparison is implemented to highlight the importance of including the maximum effects that can affect the model. The applications are made on both simulated psychological and real data. The findings demonstrate that our proposed SEM algorithm is highly preferable to the other competitor algorithms. |
| first_indexed | 2024-03-11T06:34:35Z |
| format | Article |
| id | doaj.art-119baa953cb849d5a65218286085a41b |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T06:34:35Z |
| publishDate | 2023-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-119baa953cb849d5a65218286085a41b2023-11-17T10:56:41ZengMDPI AGEntropy1099-43002023-03-0125347310.3390/e25030473Stochastic Expectation Maximization Algorithm for Linear Mixed-Effects Model with Interactions in the Presence of Incomplete DataAlandra Zakkour0Cyril Perret1Yousri Slaoui2Laboratoire de Mathématiques et Applications, Université de Poitiers, 11 Boulevard Marie et Pierre Curie, 86962 Futuroscope Chasseneuil, CEDEX 9, 86073 Poitiers, FranceLaboratoire de Mathématiques et Applications, Université de Poitiers, 11 Boulevard Marie et Pierre Curie, 86962 Futuroscope Chasseneuil, CEDEX 9, 86073 Poitiers, FranceLaboratoire de Mathématiques et Applications, Université de Poitiers, 11 Boulevard Marie et Pierre Curie, 86962 Futuroscope Chasseneuil, CEDEX 9, 86073 Poitiers, FranceThe purpose of this paper is to propose a new algorithm based on stochastic expectation maximization (SEM) to deal with the problem of unobserved values when multiple interactions in a linear mixed-effects model (LMEM) are present. We test the effectiveness of the proposed algorithm with the stochastic approximation expectation maximization (SAEM) and Monte Carlo Markov chain (MCMC) algorithms. This comparison is implemented to highlight the importance of including the maximum effects that can affect the model. The applications are made on both simulated psychological and real data. The findings demonstrate that our proposed SEM algorithm is highly preferable to the other competitor algorithms.https://www.mdpi.com/1099-4300/25/3/473linear mixed-effects modelinteractionsmissing datacensored data<tt>EM</tt> algorithm<tt>SEM</tt> algorithm |
| spellingShingle | Alandra Zakkour Cyril Perret Yousri Slaoui Stochastic Expectation Maximization Algorithm for Linear Mixed-Effects Model with Interactions in the Presence of Incomplete Data Entropy linear mixed-effects model interactions missing data censored data <tt>EM</tt> algorithm <tt>SEM</tt> algorithm |
| title | Stochastic Expectation Maximization Algorithm for Linear Mixed-Effects Model with Interactions in the Presence of Incomplete Data |
| title_full | Stochastic Expectation Maximization Algorithm for Linear Mixed-Effects Model with Interactions in the Presence of Incomplete Data |
| title_fullStr | Stochastic Expectation Maximization Algorithm for Linear Mixed-Effects Model with Interactions in the Presence of Incomplete Data |
| title_full_unstemmed | Stochastic Expectation Maximization Algorithm for Linear Mixed-Effects Model with Interactions in the Presence of Incomplete Data |
| title_short | Stochastic Expectation Maximization Algorithm for Linear Mixed-Effects Model with Interactions in the Presence of Incomplete Data |
| title_sort | stochastic expectation maximization algorithm for linear mixed effects model with interactions in the presence of incomplete data |
| topic | linear mixed-effects model interactions missing data censored data <tt>EM</tt> algorithm <tt>SEM</tt> algorithm |
| url | https://www.mdpi.com/1099-4300/25/3/473 |
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