关于此课程： This class presents the fundamental probability and statistical concepts used in elementary data analysis. It will be taught at an introductory level for students with junior or senior college-level mathematical training including a working knowledge of calculus. A small amount of linear algebra and programming are useful for the class, but not required.
制作方： 约翰霍普金斯大学
教学方： Brian Caffo, PhD, Professor, Biostatistics
Bloomberg School of Public Health
| 承诺学习时间 | 3-5 小时/周 |
| 语言 | English |
| 如何通过 | 通过所有计分作业以完成课程。 |
| 用户评分 |
授课大纲
第 1 周
Introduction, Probability, Expectations, and Random Vectors
You are about to undergo an intense and demanding immersion into the world of mathematical biostatistics. Over the next few weeks, you will learn about probability, expectations, conditional probabilities, distributions, confidence intervals, bootstrapping, binomial proportions, and much more. Module 1 covers experiments, probability, variables, mass functions, density functions, cumulative distribution functions, expectations, variations, and vectors.
13 视频, 2 阅读材料, 1 练习测试
- 视频: Welcome to the Course
- Reading: Syllabus
- Reading: Faculty
- 视频: Biostatistics and Experiments
- 视频: Set Notation and Probability
- 视频: Probability
- 视频: Random Variables
- 视频: PMFs and PDFs
- 视频: CDFs, Survival Functions, and Quantiles
- 视频: Expected Values
- 视频: Rules About Expected Values
- 视频: Variances and Chebyshev's Inequality
- 视频: Random Vectors and Independence
- 视频: Correlation
- 视频: Variance Properties and Sample Variance
- Practice Quiz: Module 1 Homework
已评分: Module 1 Quiz: Introduction, Probability, Expectations, and Random Vectors
第 2 周
Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics
This module covers Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics. These are the most fundamental core concepts in mathematical biostatistics and statistics. After this module you should be able to recognize and be functional in these key concepts.
7 视频, 1 练习测试
- 视频: Conditional Probabilities and Densities
- 视频: Bayes' Rule and DLRs
- 视频: Likelihood
- 视频: Bernoulli Distribution and Binomial Trials
- 视频: The Normal Distribution
- 视频: Limits and LLN
- 视频: CLT and Confidence Intervals
- Practice Quiz: Module 2 Homework
已评分: Module 2 Quiz: Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics
第 3 周
Confidence Intervals, Bootstrapping, and Plotting
This module covers Confidence Intervals, Bootstrapping, and Plotting. These are core concepts in mathematical biostatistics and statistics. After this module you should be able to recognize and be functional in these key concepts.
7 视频, 1 练习测试
- 视频: Confidence Intervals and CI for Normal Variance
- 视频: Student's t Distribution and CI for Normal Means
- 视频: Profile Likelihoods
- 视频: T Confidence Intervals
- 视频: Plotting
- 视频: The Jackknife
- 视频: Bootstrapping
- Practice Quiz: Module 3 Homework
已评分: Module 3 Quiz: Confidence Intervals, Bootstrapping, and Plotting
第 4 周
Binomial Proportions and Logs
This module covers Binomial Proportions and Logs. These are core concepts in mathematical biostatistics and statistics. After this module you should be able to recognize and be functional in these key concepts.
3 视频, 1 练习测试
- 视频: Binomial Proportions Part A
- 视频: Binomial Proportions Part B
- 视频: Logs
- Practice Quiz: Module 4 Homework
已评分: Module 4 Quiz: Binomial Proportions and Logs
常见问题解答
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制作方
约翰霍普金斯大学
The mission of The Johns Hopkins University is to educate its students and cultivate their capacity for life-long learning, to foster independent and original research, and to bring the benefits of discovery to the world.
评分和审阅
Hopefully It can be more related to Bios, Yet it's a amazing course for stat.
This course is phenomenally well developed with great curriculum and materials for building astrong base to enter into statistics with a strong base of knowledge.
I liked the course. Need good maths skills. Would prefer to have a review/HW after each lecture than at the end of each week.
SY
Nice class!