This course introduces the principles and mathematical foundations of statistical reasoning. Topics include samples and populations, estimation, hypothesis testing, analysis of variance, regression, nonparametric procedures, Bayesian methods, and the delta method.

Instructor: Keith Levin, kdlevin | at | wisc | dot | edu | |

TA: Haoran Xiong, haoran | dot | xiong | at | wisc | dot | edu | |

Lectures:
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TuTh, 2:30pm-3:45pm in Educational Sciences 228 | |

Office Hours:
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Keith Levin: Tuesdays 1pm-2pm, Thursdays 4pm-5pm in Medical Sciences Center 6190 or by appointment | |

Haoran Xiong: Mondays 3pm-4pm, Medical Sciences Center 1270C | |

Textbook: Mathematical Statistics and Data Analysis, 3rd Edition by John A. Rice | |

Syllabus: available here | |

Prerequisites: at least one one of STAT/MATH 309, STAT 311, STAT/MATH 431, or MATH 531 and at least one of STAT 240, STAT 301, STAT 302, STAT 324, STAT 371, or ECON 310. |

Date |
Topics |
Readings |
Notes |

Thursday, Sep 5 | Course introduction; Administrivia; Probability Review | Rice Chapters 1 through 5 (recommended); Probability review notes from Prof. Moulinath Bannerjee (recommended) | |

Tuesday, Sep 10 | Limit Theorems: law of large numbers | Rice 5.1-5.2 (recquired) | |

Thursday, Sep 12 | Limit Theorems: central limit theorem | Rice 5.3 (required) | |

Tuesday, Sep 17 | Sampling | Rice Chapter 7, sections 7.1 through 7.3 (required) | |

Thursday, Sep 19 | Sampling (cont'd) | Rice Chapter 7, sections 7.1 through 7.3 (required) | |

Tuesday, Sep 24 | Estimation | Rice Chapter 8, sections 8.1 through 8.5 (required) | |

Thursday, Sep 26 | Estimation (cont'd) | Rice Chapter 8, sections 8.1 through 8.5 (required) | |

Tuesday, Oct 1 | Estimation (cont'd) | Rice Chapter 8, section 8.7 and 8.8 (required) | |

Thursday, Oct 3 | Estimation (cont'd) | Rice Chapter 8, section 8.7 and 8.8 (required) | |

Tuesday, Oct 8 | Estimation (cont'd) | Rice Chapter 8, section 8.1 through 8.5, 8.7-8.8 (required) | |

Thursday, Oct 10 | Distributions derived from the normal | Rice Chapter 6 (required) | |

Tuesday, Oct 15 | Distributions derived from the normal | Rice Chapter 6 (required) | |

Thursday, Oct 17 | Exam 1 (in class) | ||

Tuesday, Oct 22 | Hypothesis testing | Rice Chapter 9, sections 9.1 through 9.4 (required) | |

Thursday, Oct 24 | Hypothesis testing (cont'd) | Rice Chapter 9, sections 9.1 through 9.4 (required) | |

Tuesday, Oct 29 | Hypothesis testing (cont'd) | Rice Chapter 9, sections 9.1 through 9.4 (required) | |

Thursday, Oct 31 | Hypothesis testing (cont'd) | Rice Chapter 9, sections 9.1 through 9.4 (required) | |

Tuesday, Nov 5 | Hypothesis testing (cont'd) | Rice Chapter 11, sections 11.1 and 11.2 (required) | U.S. Presidential Election. Don't forget to vote! |

Thursday, Nov 7 | Hypothesis testing (cont'd) | Rice Chapter 11, sections 11.3 and 11.4 (required) | |

Tuesday, Nov 12 | ANOVA: one-way layout | Rice Chapter 12, sections 12.1 and 12.2 (required) | |

Thursday, Nov 14 | Exam 2 (in class) | ||

Tuesday, Nov 19 | ANOVA: one-way layout and two-way layout | Rice Chapter 12, sections 12.1 through 12.3 (required) | |

Thursday, Nov 21 | Regression | Rice Chapter 14, sections 14.1 and 14.2 | |

Tuesday, Nov 26 | Special topic (TBA) | This lecture is intended as an introduction to an important area of modern statistics. You will not be responsible for material presented in this lecture or its readings. | |

Thursday, Nov 28 | No lecture: Thanksgiving break | Alice's Restaurant (recommended) | |

Tuesday, Dec 3 | Regression | Rice Chapter 14, sections 14.1 and 14.2 | |

Thursday, Dec 5 | Regression (cont'd) | Rice Chapter 14, sections 14.1 and 14.2 | |

Tuesday, Dec 10 | Exam 3 (in class) |