Course overview
This course provides a foundational introduction to statistical theory, application and communication. Topics covered will include: basic probability and random variables, fundamental distributions, inference for means and proportions, comparison of independent and paired samples, simple linear regression, diagnostics and model checking, multiple linear regression, simple factorial models, models with factors and continuous predictors. Students will develop a mathematical understanding of these ideas, learn how to implement them in the statistical software, R, and be able to communicate their results to both statistical and non-specialist audiences. This course provides essential skills for all mathematicians across a broad range of program outcomes including communication and professional practice, ethics and integrity.