Carleton University - Introduction to Statistical Modeling I (STAT 2507)

STAT 2507: Introduction to Statistical Modeling I equips students with key concepts such as descriptive statistics, probability theory, sampling methods, and statistical inference. Main topics to be covered include measures of center and variability, correlation, regression analysis, and various probability distributions (e.g., binomial, hypergeometric, Poisson, and normal). Additionally, students will learn about sampling distributions, the Central Limit Theorem, and estimation techniques, including constructing confidence intervals and determining appropriate sample sizes.

A significant portion of the course focuses on hypothesis testing for population parameters, including tests for means, proportions, and differences between groups using both large and small samples. The curriculum also covers critical concepts like Type I and Type II errors, test power, and the selection of appropriate tests. Students will work with both independent and paired samples, gaining experience in conducting statistical analyses with real-world relevance. This comprehensive course provides the essential tools to interpret data accurately and make informed decisions based on statistical evidence.