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Preventive veterinary medicine2016; 130; 129-136; doi: 10.1016/j.prevetmed.2016.06.006

Nonlinear hierarchical modeling of experimental infection data.

Abstract: In this paper, we propose a nonlinear hierarchical model (NLHM) for analyzing longitudinal experimental infection (EI) data. The NLHM offers several improvements over commonly used alternatives such as repeated measures analysis of variance (RM-ANOVA) and the linear mixed model (LMM). It enables comparison of relevant biological properties of the course of infection including peak intensity, duration and time to peak, rather than simply comparing mean responses at each observation time. We illustrate the practical benefits of this model and the insights it yields using data from experimental infection studies on equine arteritis virus. Finally, we demonstrate via simulation studies that the NLHM substantially reduces bias and improves the power to detect differences in relevant features of the infection response between two populations. For example, to detect a 20% difference in response duration between two groups (n=15) in which the peak time and peak intensity were identical, the RM-ANOVA test had a power of just 11%, and LMM a power of just 12%. By comparison, the nonlinear model we propose had a power of 58% in the same scenario, while controlling the Type I error rate better than the other two methods.
Publication Date: 2016-06-14 PubMed ID: 27435656DOI: 10.1016/j.prevetmed.2016.06.006Google Scholar: Lookup
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  • Comparative Study
  • Journal Article

Summary

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The research article presents a new model called the Nonlinear Hierarchical Model (NLHM), developed for the analysis of longitudinal experimental infection data, offering improvements over traditional methods. The study demonstrates, with the help of real and simulated data, that NLHM significantly reduces bias, enhances detection power for differences, and offers a more accurate comparison of infection characteristics.

Introduction to Nonlinear Hierarchical Model (NLHM)

  • The central premise of the study revolves around the development and subsequent implementation of the Nonlinear Hierarchical Model (NLHM). This model is offered as an improved method for analyzing longitudinal experimental infection data.
  • The NLHM is presented as a far superior alternative to traditional data analysis methods such as the repeated measures analysis of variance (RM-ANOVA) and the linear mixed model (LMM).

Benefits of NLHM

  • The proposed model allows comparisons of several crucial biological features linked to the course of infection. These include factors such as peak intensity, duration of infection, and time-to-peak as opposed to purely comparing mean responses at each observation point, a characteristic of conventional methods.
  • As such, the data analysis enabled by NLHM yields new insights and practical benefits. The evidence for this claim was provided using data gathered from experimental infection studies on the equine arteritis virus.

Performance of NLHM in Simulation Studies

  • The researchers used simulation studies to demonstrate the superior performance of NLHM. They showed that the new model significantly reduces the bias in analysis and provides improved power to detect notable differences in the infection response among two different populations.
  • For instance, to detect a difference of 20% in response duration between two groups, both having an identical peak time and intensity, the traditional RM-ANOVA test showed a detection power of merely 11%, and the LMM showed a detection power of 12%.
  • In contrast, when using the proposed nonlinear model (NLHM) in this scenario, the detection power jumps to an impressive 58%. Additionally, the NLHM controlled the Type I error rate more effectively compared to the existing two methodologies.

Cite This Article

APA
Singleton MD, Breheny PJ. (2016). Nonlinear hierarchical modeling of experimental infection data. Prev Vet Med, 130, 129-136. https://doi.org/10.1016/j.prevetmed.2016.06.006

Publication

ISSN: 1873-1716
NlmUniqueID: 8217463
Country: Netherlands
Language: English
Volume: 130
Pages: 129-136

Researcher Affiliations

Singleton, Michael D
  • Department of Biostatistics, University of Kentucky College of Public Health, Lexington, KY 40513, United States. Electronic address: msingle@email.uky.edu.
Breheny, Patrick J
  • Department of Biostatistics, University of Iowa College of Public Health, Iowa City, IA 52242, United States.

MeSH Terms

  • Analysis of Variance
  • Animals
  • Arterivirus Infections / veterinary
  • Bias
  • Computer Simulation
  • Equartevirus
  • Horses
  • Infections / physiopathology
  • Infections / veterinary
  • Longitudinal Studies
  • Models, Statistical
  • Nonlinear Dynamics
  • Orthomyxoviridae Infections / prevention & control
  • Orthomyxoviridae Infections / veterinary
  • Viral Vaccines / administration & dosage