What This Document Is
This document consists of a collection of practice exercises designed to reinforce your understanding of core concepts in Comparative Politics, specifically within a statistical framework (STAT 2) as taught at the University of California, Berkeley. It’s intended as a self-assessment tool to help you gauge your grasp of the course material and prepare for more formal evaluations. The exercises build upon theoretical foundations and require application of statistical principles to political phenomena.
Why This Document Matters
This resource is ideal for students enrolled in the Comparative Politics (STAT 2) course at UC Berkeley who are looking to solidify their learning. It’s particularly useful for those who benefit from actively working through problems, identifying areas where their understanding needs strengthening, and building confidence before exams or assignments. Utilizing these exercises alongside your lecture notes and assigned readings will contribute to a more comprehensive understanding of the subject matter. It’s best used *after* you’ve engaged with the core course content.
Topics Covered
* Foundational Probability and Random Variables
* Distributions (Exponential, Poisson, Uniform)
* Order Statistics
* Statistical Estimation Techniques
* Correlation and Independence
* Branching Processes
* Combinatorial Probability
* Statistical Inequalities
* Combinatorial Optimization problems related to probability
What This Document Provides
* A wide range of practice problems covering key statistical concepts applied to political science.
* Exercises designed to test your ability to apply theoretical knowledge to practical scenarios.
* Problems that encourage you to think critically about the assumptions and limitations of statistical models.
* A resource for self-directed learning and independent practice.
* Opportunities to develop problem-solving skills essential for success in the course.
