课程名称：实验设计与分析（全英）

课程类别：基础选修课

学分：2

考核方式：平时成绩+期末考试

授课老师：王瑛

教学目标

本课旨在为本科生建立基础的统计思维、方法和技术，以便学生在科研学习与试验中使用统计方法收集、处理、分析实验数据并思考实验。

教学要求

学生能处理实验中遇到的双样本实验设计与分析及方差分析。

教学内容

Chapter I.1 Introductions (2 hs)

1.         Strategy of experimentation

2.         Typical applications of experimental design

3.         Basic principles

4.         Guidelines for designing experiments

Chapter II.2 Using surveys and scientific studies to gather data (2 hs)

1.         Surveys

2.         Scientific studies

3.         Observational studies

4.         Data management: preparing data for summarization and analysis

Chapter II.3 Data description (2 hrs)

1.         Describing data on a single variable: graphical methods

2.         Measures of central tendency

3.         Measures of variability

4.         The boxplot

5.         Summarizing data from more than one variable

Chapter II.4 Probability and probability distributions (4 hrs)

1.         How probability can be used in making inferences

2.         Finding the probability of an event

3.         Basic event relations and probability laws

4.         Conditional probability and independence

5.         Variables: discrete and continuous

6.         Probability distributions for continuous random variables

7.         Normal distribution, random sampling

Chapter II.5 Inferences about population central values (2 hrs)

1.         Estimation of population mean

2.         Statistical test for population mean

3.         The level of significance of a statistical test

Chapter I.2 Simple comparative experiments (6 hrs)

1.         Basic statistical concepts

2.         Sampling and sampling distributions

3.         Inferences about the differences in means, randomized designs

4.         Checking assumptions in t-test

5.         Choice of sample size

6.         Confidence intervals

7.         The case where population variances are unknown

8.         Comparing a single mean to a specified value

Chapter I.3 Experiments with a single factor: the analysis of variance (6 hrs)

1.         The analysis of variance

2.     Analysis of the fixed effects model

3.     Model adequacy checking

4.     Practical interpretation of results

5.     Sample computer output

6.     Determining sample size

7.     Discovering dispersion effects

8.     The regression approach to the analysis of variance

9.     Nonparametric methods in the analysis of variance

Computer labs review, exercise, homeworks and projects (8 hrs)

教材及主要参考书目

Design and analysis of Experiments, 6th ed., Douglas C. Montgomery. 2007. John Wiley & Sons.

An introduction to statistical Methods and Data Analysis.,5th ed., R. Lyman Ott & Michael Longnecker. 2001. Wadsworth Group.