A Comparative Study of the Bias Correction Methods for Differential Item Functioning Analysis in Logistic Regression with Rare Events Data.

The logistic regression (LR) model for assessing differential item functioning (DIF) is highly dependent on the asymptotic sampling distributions. However, for rare events data, the maximum likelihood estimation method may be biased and the asymptotic distributions may not be reliable. In this study...

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Publicado en:BioMed Research International pp. 1 - 13
Autores principales: Faghih, Marjan, Bagheri, Zahra, Stevanovic, Dejan, Ayatollahi, Seyyed Mohhamad Taghi, Jafari, Peyman
Formato: equations & formulas research tables/charts Journal Article
Publicado: Wiley-Blackwell 3/2/2020
Acceso en línea:Ver este registro en EBSCOhost
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      dt: 3/2/2020
      pid: 480
      pub: Wiley-Blackwell
      place: Malden, Massachusetts
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        10.1155/2020/1632350
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        atl: A Comparative Study of the Bias Correction Methods for Differential Item Functioning Analysis in Logistic Regression with Rare Events Data.
      aug:
        au:
          Faghih, Marjan
          Bagheri, Zahra
          Stevanovic, Dejan
          Ayatollahi, Seyyed Mohhamad Taghi
          Jafari, Peyman
        affil: Department of Biostatistics, Faculty of Medicine, Shiraz University of Medical Sciences, Shiraz, Iran
      sug:
        subj:
          Models, Statistical
          Maximum Likelihood
          Differential Item Functioning
          Human
          Comparative Studies
          Logistic Regression
          Type I Error
          Sample Size
      ab: The logistic regression (LR) model for assessing differential item functioning (DIF) is highly dependent on the asymptotic sampling distributions. However, for rare events data, the maximum likelihood estimation method may be biased and the asymptotic distributions may not be reliable. In this study, the performance of the regular maximum likelihood (ML) estimation is compared with two bias correction methods including weighted logistic regression (WLR) and Firth's penalized maximum likelihood (PML) to assess DIF for imbalanced or rare events data. The power and type I error rate of the LR model for detecting DIF were investigated under different combinations of sample size, moderate and severe magnitudes of uniform DIF (DIF = 0.4 and 0.8), sample size ratio, number of items, and the imbalanced degree (τ). Indeed, as compared with WLR and for severe imbalanced degree (τ = 0.069), there were reductions of approximately 30% and 24% under DIF = 0.4 and 27% and 23% under DIF = 0.8 in the power of the PML and ML, respectively. The present study revealed that the WLR outperforms both the ML and PML estimation methods when logistic regression is used to evaluate DIF for imbalanced or rare events data.
      pubtype: Academic Journal
      doctype:
        equations & formulas
        research
        tables/charts
        Journal Article
      ougenre: Article
    language: English
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