**INTRO**

This course focuses on the applications of statistics and probability theory to the data analysis in biomedical engineering research. Our course will cover the following topics: concepts of probability, discrete and continuous random variables, probability distributions,expected values, independence, the treatment of statistical method with random sampling, data summary and description techniques, sampling distributions, the central limit theorem, point estimation of parameters, interval estimation for a single sample, hypothesis tests, tests and confidence interval for two samples, simple and multiple regression.

**LECTURERS**

Fa-Hsuan Lin

**CLASSROOM**

共同教室406, National Taiwan University

**TIME**

Wednesday (13:20 – 16: 20)

**PREREQUISITE**

None

**TEACHING ASSISTANT**

**REQUIREMENT**

homework (10%); quizzes (10%); course participation (10%); presentation (30%); mid-term (20%); final (20%)

**REFERENCE**

Textbook: Mathematical Statistics with Application (ISBN: 0123748488)

Student’s presentation date/order/topics

**SYLLABUS**

1 | 9/13 | course introduction; descriptive statistics (chapter 1) | ||

2 | 9/20 | basic concepts from probability theory (chapter 2) | hw2 | group 3 |

3 | 9/27 | additional topics in probability (chapter 3) | hw3 | group 11 |

10/4 | no class | |||

4 | 10/11 | additional topics in probability (chapter 3) | hw3 | |

5 | 10/18 | sampling distributions (chapter 4) | hw4 | group 6 |

6 | 10/25 | point estimation (chapter 5) | hw5 | group 4 |

11/1 | mid-term | |||

7 | 11/8 | interval estimation (chapter 6) | hw6 | group 3 |

8 | 11/15 | hypothesis testing (chapter 7-I) | hw7-1 | group 2 |

9 | 11/22 | hypothesis testing (chapter 7-II) | hw7-2 | group 8 |

10 | 11/29 | hypothesis testing (chapter 7-III) | hw7-3 | group 1 |

11 | 12/6 | linear regression methods (chapter 8) | hw8 | group 5 |

12 | 12/13 | analysis of variance (chapter 10) | hw10 | group 7 |

12/20 | final | |||