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.
提供方
约翰霍普金斯大学
教学大纲 - 您将从这门课程中学到什么
周
1完成时间为 5 小时
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 个视频 （总计 179 分钟）, 2 个阅读材料, 2 个测验
13 个视频
Biostatistics and Experiments12分钟
Set Notation and Probability14分钟
Probability22分钟
Random Variables6分钟
PMFs and PDFs17分钟
CDFs, Survival Functions, and Quantiles11分钟
Expected Values12分钟
Rules About Expected Values10分钟
Variances and Chebyshev's Inequality18分钟
Random Vectors and Independence17分钟
Correlation10分钟
Variance Properties and Sample Variance22分钟
2 个阅读材料
Syllabus10分钟
Faculty10分钟
2 个练习
Module 1 Homework40分钟
Module 1 Quiz: Introduction, Probability, Expectations, and Random Vectors40分钟
周
2完成时间为 4 小时
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 个视频 （总计 157 分钟）, 2 个测验
7 个视频
Bayes' Rule and DLRs23分钟
Likelihood32分钟
Bernoulli Distribution and Binomial Trials15分钟
The Normal Distribution28分钟
Limits and LLN18分钟
CLT and Confidence Intervals23分钟
2 个练习
Module 2 Homework26分钟
Module 2 Quiz: Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics32分钟
周
3完成时间为 3 小时
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 个视频 （总计 121 分钟）, 2 个测验
7 个视频
Student's t Distribution and CI for Normal Means19分钟
Profile Likelihoods8分钟
T Confidence Intervals24分钟
Plotting22分钟
The Jackknife12分钟
Bootstrapping17分钟
2 个练习
Module 3 Homework20分钟
Module 3 Quiz: Confidence Intervals, Bootstrapping, and Plotting22分钟
周
4完成时间为 2 小时
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 个视频 （总计 71 分钟）, 2 个测验
2 个练习
Module 4 Homework10分钟
Module 4 Quiz: Binomial Proportions and Logs10分钟
4.5
55 个审阅来自数学生物统计学入门 1的热门评论
I knew a lot about probability before starting this course, but I didn't know much of anything about frequentist statistics. This course helped me understand some tricky concepts.
Very concise, well-presented course. This was my second time taking it as a refresher. Prof. Caffo does a great job presenting the materials. However, prepare to be challenged.
讲师
Brian Caffo, PhD
Professor, BiostatisticsBloomberg School of Public Health
关于 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.
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