Advanced Statistics

Description

This course will help students gain an understanding of elementary probability theory and how to apply it to analyze statistical problems. It also provides an undergraduate student who is preparing for gradu-ate study in statistical concepts to include measurements of location and dispersion, probability, proba-bility distributions, sampling, estimation, hypothesis testing, regression, and correlation analysis.

Program

Computer Science - 2021

Objectives

• 1. Use statistical methodology and tools in the problem-solving process.
  2. Compute and interpret descriptive statistics using numerical and graphical techniques.
  3. Understand the basic concepts of probability, random variables, probability distribution, and joint probability distribution.
  4. Compute point estimation of parameters, ex-plain sampling distributions, and understand the central limit theorem.
  5. Construct confidence intervals on parameters.
  6. Compute and interpret simple linear regres-sion between two variables.
  7. Set up a least square fit of data to a model.
  8. Use null hypothesis significance testing to test the significance of results.
  9. Use specific significance tests including T-test (one and two sample), Wilcoxon signed-rank test (one and two sample)
  10. Use software and simulation to do statistics (R) in the context of term project.