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Uncertainty and Sensitivity Analyses Methods for Agent-Based Mathematical Models: An Introductory Review

Hamis Sara
- 01 Jan 2021 - 
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TLDR
This introductory review discusses origins, conventions, implementation and result interpretation of three uncertainty and sensitivity analyses methods, suitable to use when working with agent-based models, namely Consistency Analysis, Robustness Analysis and Latin Hypercube Analysis.
Abstract
Multiscale, agent-based mathematical models of biological systems are often associated with model uncertainty and sensitivity to parameter perturbations. Here, three uncertainty and sensitivity analyses methods, that are suitable to use when working with agent-based models, are discussed. These methods are namely Consistency Analysis, Robustness Analysis and Latin Hypercube Analysis. This introductory review discusses origins, conventions, implementation and result interpretation of the aforementioned methods. Information on how to implement the discussed methods in MATLAB is included.

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References
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TL;DR: The concepts of power analysis are discussed in this paper, where Chi-square Tests for Goodness of Fit and Contingency Tables, t-Test for Means, and Sign Test are used.
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A comparison of three methods for selecting values of input variables in the analysis of output from a computer code

TL;DR: In this paper, two sampling plans are examined as alternatives to simple random sampling in Monte Carlo studies and they are shown to be improvements over simple sampling with respect to variance for a class of estimators which includes the sample mean and the empirical distribution function.
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Statistics corner: A guide to appropriate use of correlation coefficient in medical research.

TL;DR: Examples of the applications of the correlation coefficient have been provided using data from statistical simulations as well as real data.
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Correlation Coefficients: Appropriate Use and Interpretation.

TL;DR: The aim of this tutorial is to guide researchers and clinicians in the appropriate use and interpretation of correlation coefficients.
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