Investigating the Relationship Between English Proficiency and Mathematical Abilities: Empirical Likelihood Inference for Nonparametric Regression with Clustered Data.
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| Title: | Investigating the Relationship Between English Proficiency and Mathematical Abilities: Empirical Likelihood Inference for Nonparametric Regression with Clustered Data. |
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| Authors: | Premathilaka, Methsarani1 (AUTHOR), Liu, Rong2 (AUTHOR) rong.liu@utoledo.edu, Gao, Fei3 (AUTHOR) |
| Source: | Measurement. Apr-Jun2026, Vol. 24 Issue 2, p85-95. 11p. |
| Subjects: | Language ability, Mathematical ability, Simulation methods & models, Academic achievement, Nonparametric statistics, Inferential statistics, Panel analysis |
| Abstract: | The use of repeated or clustered data is gaining popularity in numerous research studies. Although Wald type SCBs were available, the estimation of standard errors poses a challenge in nonparametric models, making it difficult to estimate the standard errors. In this paper, we focus on providing SCBs using empirical likelihood (EL) when repeated measures have the same cluster size. The performance of the EL-based SCBs is evaluated by simulation studies which support the asymptotic properties. The proposed method is applied to analyze data collected over 3 years from 886 students. The findings indicate a notable association between the students' English proficiency and their mathematical abilities. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | The use of repeated or clustered data is gaining popularity in numerous research studies. Although Wald type SCBs were available, the estimation of standard errors poses a challenge in nonparametric models, making it difficult to estimate the standard errors. In this paper, we focus on providing SCBs using empirical likelihood (EL) when repeated measures have the same cluster size. The performance of the EL-based SCBs is evaluated by simulation studies which support the asymptotic properties. The proposed method is applied to analyze data collected over 3 years from 886 students. The findings indicate a notable association between the students' English proficiency and their mathematical abilities. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 15366367 |
| DOI: | 10.1080/15366367.2024.2417171 |
