A Generalized Gaussian Process Model for Computer Experiments With Binary Time Series

Non-Gaussian observations such as binary responses are common in some computer experiments. Motivated by the analysis of a class of cell adhesion experiments, we introduce a generalized Gaussian process model for binary responses, which shares some common features with standard GP models. In additio...

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Bibliographic Details
Published in:Journal of the American Statistical Association 2020-04, Vol.115 (530), p.945-956
Main Authors: Sung, Chih-Li, Hung, Ying, Rittase, William, Zhu, Cheng, Jeff Wu, C. F.
Format: Article
Language:English
Subjects:
Asymptotic properties
Asymptotic series
Cell adhesion
Cell adhesion & migration
Computer experiment
Computer simulation
Experiments
Family physicians
Gaussian process
Gaussian process model
Regression analysis
Simulation
Single molecule experiment
Statistical methods
Statistics
Time series
Uncertainty quantification
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Summary:Non-Gaussian observations such as binary responses are common in some computer experiments. Motivated by the analysis of a class of cell adhesion experiments, we introduce a generalized Gaussian process model for binary responses, which shares some common features with standard GP models. In addition, the proposed model incorporates a flexible mean function that can capture different types of time series structures. Asymptotic properties of the estimators are derived, and an optimal predictor as well as its predictive distribution are constructed. Their performance is examined via two simulation studies. The methodology is applied to study computer simulations for cell adhesion experiments. The fitted model reveals important biological information in repeated cell bindings, which is not directly observable in lab experiments. Supplementary materials for this article are available online.
ISSN:0162-1459
1537-274X
DOI:10.1080/01621459.2019.1604361