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.
Offered By
Johns Hopkins University
About this Course
19,933 recent views
Skills you will gain
StatisticsConfidence IntervalStatistical Hypothesis TestingBiostatistics
Syllabus - What you will learn from this course
Week
15 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
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
Week
24 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
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
Week
33 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
T Confidence Intervals24m
Plotting22m
The Jackknife12m
Bootstrapping17m
2 practice exercises
Module 3 Homework20m
Module 3 Quiz: Confidence Intervals, Bootstrapping, and Plotting22m
Week
42 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
2 practice exercises
Module 4 Homework10m
Module 4 Quiz: Binomial Proportions and Logs10m
4.5
55 ReviewsTop reviews from Mathematical Biostatistics Boot Camp 1
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.
Instructor
Brian Caffo, PhD
Professor, BiostatisticsBloomberg School of Public Health
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 purchase the Certificate?
When you purchase a Certificate you get access to all course materials, including graded assignments. Upon completing the course, your electronic Certificate will be added to your Accomplishments page - from there, you can print your Certificate or add it to your LinkedIn profile. If you only want to read and view the course content, you can audit the course for free.
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Is financial aid available?
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