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Wk 04. Statistics and Visualization Techniques for Verification and Validation

Lecture Date: September 14, 2020 - Monday
Lecturer: Dr. Hamdi Kavak

In this lecture, we will explore a list of statistics and visualization concepts that are useful for conducting verification and validation. These concepts include

  • Random variables and pseudo number generators
  • Uncertainty and confidence interval
  • Significance tests
  • Similarity tests
  • Box plots, Q-Q Plots, and P-P plots

Slides:

Slides

Code Examples:

Code

Assigned material:

  • Tom Kennedy, Monte Carlo Methods - Course Notes: Chapter 3 - Pseudo-random number generators. Link: https://www.math.arizona.edu/~tgk/mc/book_chap3.pdf
  • Paul Glasserman, Managerial Statistics - Course Notes: Confidence Intervals. Link: https://www0.gsb.columbia.edu/faculty/pglasserman/B6014/ConfidenceIntervals.pdf
  • Jeremy Orloff and Jonathan Bloom. Introduction to Probability and Statistics - Course Notes: Summary of various significance tests.Link: https://ocw.mit.edu/courses/mathematics/18-05-introduction-to-probability-and-statistics-spring-2014/related-resources/MIT18_05S14_nhst.pdf
  • Kendall, M. G. (1938). A new measure of rank correlation. Biometrika, 30(1/2), 81-93.
  • Gnanadesikan, R., & Wilk, M. B. (1968). Probability plotting methods for the analysis of data. Biometrika, 55(1), 1-17.

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Copyright © Hamdi Kavak. CSI 709/CSS 739 - Verification and Validation of Models.