Mathematical Biostatistics Boot Camp 1

Johns Hopkins University

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.

100% 在线课程

立即开始，按照自己的计划学习。

完成时间大约为18 小时

建议：3-5 hours/week

English

字幕：English

100% 在线课程

立即开始，按照自己的计划学习。

完成时间大约为18 小时

建议：3-5 hours/week

English

字幕：English

Syllabus - What you will learn from this course

1

Section

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....

13 videos (Total 179 min), 2 readings, 2 quizzes

13 videos

Welcome to the Course1m

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

2 readings

Syllabus10m

Faculty10m

2 practice exercises

Module 1 Homework40m

Module 1 Quiz: Introduction, Probability, Expectations, and Random Vectors40m

2

Section

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. ...

7 videos (Total 157 min), 2 quizzes

7 videos

Conditional Probabilities and Densities14m

Bayes' Rule and DLRs23m

Likelihood32m

Bernoulli Distribution and Binomial Trials15m

The Normal Distribution28m

Limits and LLN18m

CLT and Confidence Intervals23m

2 practice exercises

Module 2 Homework26m

Module 2 Quiz: Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics32m

3

Section

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. ...

7 videos (Total 121 min), 2 quizzes

7 videos

Confidence Intervals and CI for Normal Variance15m

Student's t Distribution and CI for Normal Means19m

Profile Likelihoods8m

T Confidence Intervals24m

Plotting22m

The Jackknife12m

Bootstrapping17m

2 practice exercises

Module 3 Homework20m

Module 3 Quiz: Confidence Intervals, Bootstrapping, and Plotting22m

4

Section

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. ...

3 videos (Total 71 min), 2 quizzes

3 videos

Binomial Proportions Part A6m

Binomial Proportions Part B36m

Logs27m

2 practice exercises

Module 4 Homework10m

Module 4 Quiz: Binomial Proportions and Logs10m

Instructor

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

When will I have access to the lectures and assignments?
Once you enroll for a Certificate, you’ll have access to all videos, quizzes, and programming assignments (if applicable). Peer review assignments can only be submitted and reviewed once your session has begun. If you choose to explore the course without purchasing, you may not be able to access certain assignments.
What will I get if I pay for this course?
If you pay for this course, you will have access to all of the features and content you need to earn a Course Certificate. If you complete the course successfully, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. Note that the Course Certificate does not represent official academic credit from the partner institution offering the course.
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Is financial aid available?
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Mathematical Biostatistics Boot Camp 1