STAT 4202: Introduction to Mathematical Statistics II

Decision theory, point and interval estimation, Neyman-Pearson lemma, likelihood ratio tests, tests for means, variances, and proportions, nonparametric tests, regression, and ANOVA.

Required Textbook: John E. Freund’s Mathematical Statistics with Applications by Irwin Miller and Marylees Miller, 8th edition, 2018, Pearson

Learning Outcomes

By the end of this course, students should successfully be able to:

• Calculate and evaluate point estimators.
• Formulate, construct and interpret confidence intervals about parameters in a statistical model.
• Formulate statistical hypotheses, construct appropriate hypotheses tests and interpret results.
• Formulate linear regression models, fit these models and interpret the results.
• Formulate one-way ANOVA models, fit these models and interpret the results.
• Construct distribution-free hypotheses testing procedures.