Learning Outcomes:
On successful completion of this module the student will:
- know how to engage in statistical thinking and rigorous scientific inquiry
- understand the basic mathematics underlying modern statistical analysis
- have proficiency in conducting data analyses using Python, the dominant and fastest-growing programming language used in the engineering and data science industries
- be able to carry out a range of statistical analyses including ANOVA, single- and multi-variable regression, logistic regression, repeated-measures and nonparametric tests (including permutation tests), linear mixed-effect models, and basic Bayesian statistics.
- understand basic principles of model selection and the relationship between statistical and mechanistic modeling
- understand how to design valid, effective, and statistically powered experiments for problems ranging from basic scientific investigations of biological processes to process validation in manufacturing
Indicative Module Content:
Motivating, designing and executing scientific studies; Principles of statistical inference; Tests for differences between 2 groups; Confidence intervals; Tests for differences among >2 groups; Multiple comparisons; Repeated-measures designs; Power analysis; Correlation; Simple regression; Logistic regression; Nonlinear regression; multiple regression; Tests for rates and proportions; Additional topics: Bayesian statistics; mechanistic models