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Related Experiment Videos

Estimating data transformations in nonlinear mixed effects models.

A Oberg1, M Davidian

  • 1Mayo Clinic, Section of Biostatistics, Rochester, Minnesota 55905, USA. ann@mayo.edu

Biometrics
|April 28, 2000
PubMed
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This study introduces a new statistical method for analyzing repeated measurement data. It allows for data transformations to be estimated directly from the data, improving the accuracy of mixed effects models.

Area of Science:

  • Statistics
  • Biostatistics
  • Econometrics

Background:

  • Repeated measurement data analysis often uses mixed effects models on transformed scales.
  • Transformations are typically chosen subjectively (e.g., log transformation), potentially leading to suboptimal model fit.
  • Achieving within-individual normality and constant variance is a common goal in data transformation.

Purpose of the Study:

  • To propose a novel mixed effects framework utilizing the transform-both-sides model.
  • To estimate the data transformation parametrically from the observed data.
  • To provide a practical fitting strategy and address inferential challenges.

Main Methods:

  • Developed a mixed effects framework based on the transform-both-sides model with a monotone parametric transformation.

Related Experiment Videos

  • Employed an approximation of the marginal likelihood for model fitting.
  • Investigated the impact of transformation estimation on standard errors for fixed effects.
  • Main Results:

    • The proposed method estimates the transformation directly from the data.
    • A practical fitting strategy using marginal likelihood approximation is described.
    • Asymptotic analysis shows standard error modifications are often negligible in common applications.

    Conclusions:

    • The proposed framework offers a data-driven approach to transformation selection in mixed effects models.
    • It allows for more accurate modeling of pharmacokinetic, growth, and other repeated measures data.
    • The method is implementable using standard statistical software, enhancing its practical utility.