Enhanced Inference for Finite Population Sampling-Based Prevalence Estimation with Misclassification Errors.

Epidemiologic screening programs often make use of tests with small, but nonzero probabilities of misdiagnosis. In this article, we assume the target population is finite with a fixed number of true cases, and that we apply an imperfect test with known sensitivity and specificity to a sample of indi...

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Publicado en:American Statistician Vol. 78; no. 2; pp. 192 - 199
Autores principales: Ge, Lin, Zhang, Yuzi, Waller, Lance A., Lyles, Robert H.
Formato: Artículo
Publicado: Taylor & Francis Ltd May2024
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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      dt: May2024
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      pub: Taylor & Francis Ltd
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        10.1080/00031305.2023.2250401
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        atl: Enhanced Inference for Finite Population Sampling-Based Prevalence Estimation with Misclassification Errors.
      aug:
        au:
          Ge, Lin
          Zhang, Yuzi
          Waller, Lance A.
          Lyles, Robert H.
        affil: Department of Biostatistics and Bioinformatics, Rollins School of Public Health, Emory University, Atlanta, GA
      su:
        Maximum likelihood statistics
        Inferential statistics
        Sampling errors
        Disease prevalence
        Sensitivity & specificity (Statistics)
        Confidence intervals
        Statistical sampling
      sug:
        subj:
          Marketing Research and Public Opinion Polling
          Maximum likelihood statistics
          Inferential statistics
          Sampling errors
          Disease prevalence
          Sensitivity & specificity (Statistics)
          Confidence intervals
          Statistical sampling
      keyword:
        Bias correction
        Credible interval
        Finite population correction
        Random sampling
        Sensitivity
        Specificity
        Bias correction
        Credible interval
        Finite population correction
        Random sampling
        Sensitivity
        Specificity
      ab: Epidemiologic screening programs often make use of tests with small, but nonzero probabilities of misdiagnosis. In this article, we assume the target population is finite with a fixed number of true cases, and that we apply an imperfect test with known sensitivity and specificity to a sample of individuals from the population. In this setting, we propose an enhanced inferential approach for use in conjunction with sampling-based bias-corrected prevalence estimation. While ignoring the finite nature of the population can yield markedly conservative estimates, direct application of a standard finite population correction (FPC) conversely leads to underestimation of variance. We uncover a way to leverage the typical FPC indirectly toward valid statistical inference. In particular, we derive a readily estimable extra variance component induced by misclassification in this specific but arguably common diagnostic testing scenario. Our approach yields a standard error estimate that properly captures the sampling variability of the usual bias-corrected maximum likelihood estimator of disease prevalence. Finally, we develop an adapted Bayesian credible interval for the true prevalence that offers improved frequentist properties (i.e., coverage and width) relative to a Wald-type confidence interval. We report the simulation results to demonstrate the enhanced performance of the proposed inferential methods.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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