Probability and Statistics for Applications
MATH 634
Overall Course Reflection
Probability and Statistics focuses on analyzing data, measuring uncertainty, and making predictions based on data. For this class, we focused on descriptive statistics, probability distributions, hypothesis testing, confidence intervals, and analysis of variance, correlation, and regression. We approached this course from an applied statistics angle and used statistical software to help with summarizing and analyzing data sets.
What I loved about this course was how it connected theoretical concepts to real-world data analysis. There is a lot of educational research that uses many of these techniques that we covered, and I feel more confident about my ability to understand what researchers are saying and being able to evaluate the validity of their findings. The topics that we studied directly related to our Algebra 1 curriculum, and our AP statistics course that I do not currently teach, but may in the future.
Course Artifacts
Exams
These exams are assessments from my Probability and Statistics course. They demonstrate my understanding of key statistical concepts. Throughout these exams, I solved problems involving probability distributions, hypothesis testing, confidence intervals, and regression analysis. I included this artifact because it showcases my mastery of statistical methods at a graduate level and reflects the depth of knowledge I can bring to my teaching and future research.
(Creation time: 5 hours each)
Homework Assignments
These reflections are homework assignments that cover a variety of statistical topics. Throughout these reflections, I applied statistical concepts and justified my reasoning for applying various models. I also evaluated how different models can be used to analyze data effectively and considered their limitations in different contexts. These assignments helped me strengthen my ability to think critically about statistical methods and communicate my reasoning clearly.
(Creation time: 4-6 hours per reflection)