课程信息
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.
Globe

100% 在线课程

立即开始,按照自己的计划学习。
Clock

完成时间大约为18 小时

建议:3-5 hours/week
Comment Dots

English

字幕:English
Globe

100% 在线课程

立即开始,按照自己的计划学习。
Clock

完成时间大约为18 小时

建议:3-5 hours/week
Comment Dots

English

字幕:English

Syllabus - What you will learn from this course

1

Section
Clock
5 hours to complete

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....
Reading
13 videos (Total 179 min), 2 readings, 2 quizzes
Video13 videos
Biostatistics and Experiments12m
Set Notation and Probability14m
Probability22m
Random Variables6m
PMFs and PDFs17m
CDFs, Survival Functions, and Quantiles11m
Expected Values12m
Rules About Expected Values10m
Variances and Chebyshev's Inequality18m
Random Vectors and Independence17m
Correlation10m
Variance Properties and Sample Variance22m
Reading2 readings
Syllabus10m
Faculty10m
Quiz2 practice exercises
Module 1 Homework40m
Module 1 Quiz: Introduction, Probability, Expectations, and Random Vectors40m

2

Section
Clock
4 hours to complete

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. ...
Reading
7 videos (Total 157 min), 2 quizzes
Video7 videos
Bayes' Rule and DLRs23m
Likelihood32m
Bernoulli Distribution and Binomial Trials15m
The Normal Distribution28m
Limits and LLN18m
CLT and Confidence Intervals23m
Quiz2 practice exercises
Module 2 Homework26m
Module 2 Quiz: Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics32m

3

Section
Clock
3 hours to complete

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. ...
Reading
7 videos (Total 121 min), 2 quizzes
Video7 videos
Student's t Distribution and CI for Normal Means19m
Profile Likelihoods8m
T Confidence Intervals24m
Plotting22m
The Jackknife12m
Bootstrapping17m
Quiz2 practice exercises
Module 3 Homework20m
Module 3 Quiz: Confidence Intervals, Bootstrapping, and Plotting22m

4

Section
Clock
2 hours to complete

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. ...
Reading
3 videos (Total 71 min), 2 quizzes
Video3 videos
Binomial Proportions Part B36m
Logs27m
Quiz2 practice exercises
Module 4 Homework10m
Module 4 Quiz: Binomial Proportions and Logs10m
4.5

Top Reviews

By DHJun 5th 2017

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.

By PBJan 12th 2016

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.

Instructor

Avatar

Brian Caffo, PhD

Professor, Biostatistics

About Johns Hopkins University

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....

Frequently Asked Questions

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