In this course, we begin with a thorough review of hypothesis testing, ensuring a solid understanding of the foundational concepts and techniques used to make statistical decisions. We then delve into statistical inferences concerning means, proportions, and variances of two populations, equipping students with the tools to compare and contrast different data sets effectively.
The course also covers tests of goodness of fit and independence, which are essential for evaluating how well theoretical distributions match observed data and for assessing the independence of categorical variables.
We explore analysis of variance (ANOVA) and experimental design, providing students with the skills to design experiments and analyze the resulting data to identify significant factors and interactions.
Simple linear regression is introduced to model relationships between two variables, followed by multiple regression techniques to handle more complex scenarios involving several predictors. Students will learn about regression analysis and model building, emphasizing the creation of accurate and predictive models.
Finally, the course addresses basic time series analysis and forecasting, preparing students to analyze data that are collected over time and to make informed predictions about future trends.