Probability and statistics in biomedical engineering (fall 2017)

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

Mathematical Statistics with Application (ISBN: 0123748488)

SYLLABUS

1 9/14 course introduction; descriptive statistics (chapter 1) hw1
2  9/21 basic concepts from probability theory (chapter 2) hw2
3  9/28 additional topics in probability (chapter 3) hw3
4  10/5 sampling distributions (chapter 4) hw4
5  10/12 point estimation (chapter 5) hw5
6  10/19 point estimation (chapter 5)
 10/26 mid-term hw6
7  11/2 interval estimation (chapter 6) hw7
8  11/9 hypothesis testing (chapter 7-I)
 9  11/16 hypothesis testing (chapter 7-II)
10 11/23 hypothesis testing (chapter 7-III)  hw8
11  11/30 linear regression methods (chapter 8)  hw9
12  12/7 analysis of variance (chapter 10)
 12/14 final hw10
hw11