MATH 4752/6752– Learning Outcomes

Title: Mathematical Statistics II

Students will understand the concepts of sampling distributions and central limit theorem.
Students will understand the concepts of parameter estimation and various criteria to gauge the estimators.
Students will be able to derive the maximum likelihood estimates for the parameters of various distributions.
Students will be able to construct confidence intervals for the parameters of various distributions.
Students will understand the concept of statistical hypothesis testing.
Students will be able to derive the likelihood ratio test statistics.
Students will be able to perform various statistical tests concerning means, proportions, variances and correlations.
Students will be able to perform statistical tests involving contingency tables and goodness-of-fit.
Students will understand the concept of regression analysis.
Students will be able to obtain the least squares estimations, and perform the statistical inferences in a simple linear regression.

Problems based on the learning objectives will be assigned on a regular basis and may appear in variety of contexts:

Homework problems serve as both learning and assessment tools for understanding and getting familiar with the topics covered. Working on the homework problems is very important in order to mastering the material.
Classroom discussion of the problems provides an indication of students’ understanding of the topics covered previously. It also can stimulate students’ thinking on the new topics.
Classroom questions are designed to assess the students’ ability of theoretical thinking and concept understanding.
Giving in-class exams is one of the most powerful methods of encouraging students to study the material covered in class. The exams are used to determine whether the students understand the concepts of chance mechanism and other important materials.