May 8, 2014

Comparison of models for analyzing two-group, cross-sectional data with a Gaussian outcome subject to a detection limit

Statistical Methods in Medical Research
Ryan E WiegandJohn M Karon

Abstract

A potential difficulty in the analysis of biomarker data occurs when data are subject to a detection limit. This detection limit is often defined as the point at which the true values cannot be measured reliably. Multiple, regression-type models designed to analyze such data exist. Studies have compared the bias among such models, but few have compared their statistical power. This simulation study provides a comparison of approaches for analyzing two-group, cross-sectional data with a Gaussian-distributed outcome by exploring statistical power and effect size confidence interval coverage of four models able to be implemented in standard software. We found using a Tobit model fit by maximum likelihood provides the best power and coverage. An example using human immunodeficiency virus type 1 ribonucleic acid data is used to illustrate the inferential differences in these models.

  • References43
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Citations

Mentioned in this Paper

Prevalence Studies
Truncation Biases
Likelihood Functions
Virus Titer
HIV Infections
Computer Programs and Programming
Normal Statistical Distribution
Multivariate Analysis
Anti-HIV Agents
RNA, Viral

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