Theory of Statistical Inference

Syllabus, grading policies, office hours, general information and course materials

Logistics

*Lecture Times and Location:*TuTh, 9:30AM-10:45AM, in LeConte 201A.

*Instructor:*Hao Wang, 219B LeConte College, (803) 777-4348, haowang AT sc DOT edu

*Instructor's Office Hours:*TuTh, 10:45 AM - 11:45 PM and 3:30 PM-4:30 PM. Other hours available by appointment.*Grader:*Yilin Zhang (zhang333 AT email DOT sc DOT edu)

Prerequites

STAT 512 with a grade of C or higher.

Learning Outcomes

STAT 513 is the sequel to STAT 512. It develops the results of mathematical statistics into hypothesis testing, decision making, and statistical modeling. At the end of the semester, the successful students will be able to use the theory of mathematical statistics to

- demonstrate understanding of the procedure of hypothesis testing and related concepts;
- conduct hypothesis tests for real-life applications;
- demonstrate understanding of the theory of linear models and apply the techniques;
- demonstrate understanding of and implement Bayesian methods for inference; and
- demonstrate understanding of the basic knowledge of survival analysis and apply it to censored data.

Textbook

*Mathematical Statistics with Applications* (7th Edition) by Dennis Wackerly, William Mendenhall, and Richard Scheaffer, Duxbury, 2008

Computing

Each student will need a scientific/engineering calculator. Bring your calculator to class.

The free statistical package R will periodically be used to demonstrate concepts and may be required for some homework assignments. No previous experience with R is expected. Instructions and example code will be posted on this course website.

Cell Phone

They dont exist. Keep them out of sight and turned off. You may not use a cell phone in place of a calculator in class.

Attendance

It is expected that all students will attend all classes.

Evalutation

Graded work for the course will consist of two midterms, a final exam, and homework problems. Your final grade will be determined as follows:

One comprehensive final exam | 30 % |

Two midterm exams |
2*20 % |

Homework problems | 30 % |

* Grading scale (%): *

A | 90-100 |

B+ |
87-89.9 |

B |
80-86.9 |

C+ | 77-79.9 |

C | 70-76.9 |

D+ | 67-69.9 |

D | 60-66.9 |

F | less than 60 |

Details on Graded Assignments

*In-class midterm (2*20%):*

The first midterm will take place on Thursday, September 27. The second will be on early November. They will cover all materials through the time of the exams.

*Final Exam (30%):*

The final exam for this course will be comprehensive and will take place on Monday, December 10 - 9:00 a.m.

*Homework (30%): *

There will be regular homework assignments. Students are expected to read the book and work problems as required to master the material. Homework will be graded on a ten point scale: 0 meaning that you did not turn in the homework and 10 meaning that you could not have completed the assignment any better. Homework must be legible, include name, and must be stapled to receive credits.

*Missing work: *

Make-ups are not given for missed work except for the final exam. Your final exam grade is substituted for missed work that is excused by the instructor prior to the absence. A grade of zero will be substituted for all other missed work.

*Graduate Students:*

Graduate students taking this course will be required to complete extra questions in all exams.

Homework

Number | Problems | Due Date | Solution |

1 | From WMS, 10.2, 10.3, 10.5, 10.17, 10.20, 10.25,10.27 | Tuesday, 09/11 | HW1_solution |

2 | From WMS, 10.53, 10.56, 10.57,10.66,10.73,10.84 | Tuesday, 09/18 | HW2_solution |

3 | From WMS, 10.91, 10.95, 10.103,10.105 | Tuesday, 10/02 | HW3_solution |

Mid Term 1 | Thursday, 09/27 | Mid Term 1 Solution | |

4 | From WMS, 11.4, 11.10, 11.15, 11.20, 11.28, 11.31 | Tuesday, 10/16 | HW4_solution |

5 | From WMS, 11.35 11.68 11.69 | Tuesday, 11/01 | HW5_solution |

6 | From WMS, 11.76 11.92 11.101 | Thursday, 11/8 | HW6_solution |

Mid Term 2 | Thursday, 11/15 | Mid Term 2 Solution | |

7 | From WMS, 16.6 16.7 16.9 16.11, 16.15, 16.16 | Thursday, 12/6 | HW7_solution |

Computer code

Chapter | Code |

Ch 11 | Ch11_Rcode |

Honor Code

Students are expected to abide by Carolina Community: Student Handbook and Policy Guide for all work for this course. Violations of the Standard will result in a failing final grade for this course and will be reported to the Dean of Students for adjudication. Ignorance of what constitutes academic dishonesty is not a justifiable excuse for violations. For the in-class exams, students are required to work alone. For the projects assignments, students may work with others but each student must submit his or her own answers.