About this course: 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.
Created by: Johns Hopkins University
Taught by: Brian Caffo, PhD, Professor, Biostatistics
Bloomberg School of Public Health
| Commitment | 3-5 hours/week |
| Language | English |
| How To Pass | Pass all graded assignments to complete the course. |
| User Ratings |
Syllabus
WEEK 1
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, 2 readings, 1 practice quiz
- Video: Welcome to the Course
- Материал для самостоятельного изучения: Syllabus
- Материал для самостоятельного изучения: Faculty
- Video: Biostatistics and Experiments
- Video: Set Notation and Probability
- Video: Probability
- Video: Random Variables
- Video: PMFs and PDFs
- Video: CDFs, Survival Functions, and Quantiles
- Video: Expected Values
- Video: Rules About Expected Values
- Video: Variances and Chebyshev's Inequality
- Video: Random Vectors and Independence
- Video: Correlation
- Video: Variance Properties and Sample Variance
- Тренировочный тест: Module 1 Homework
Graded: Module 1 Quiz: Introduction, Probability, Expectations, and Random Vectors
WEEK 2
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, 1 practice quiz
- Video: Conditional Probabilities and Densities
- Video: Bayes' Rule and DLRs
- Video: Likelihood
- Video: Bernoulli Distribution and Binomial Trials
- Video: The Normal Distribution
- Video: Limits and LLN
- Video: CLT and Confidence Intervals
- Тренировочный тест: Module 2 Homework
Graded: Module 2 Quiz: Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics
WEEK 3
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, 1 practice quiz
- Video: Confidence Intervals and CI for Normal Variance
- Video: Student's t Distribution and CI for Normal Means
- Video: Profile Likelihoods
- Video: T Confidence Intervals
- Video: Plotting
- Video: The Jackknife
- Video: Bootstrapping
- Тренировочный тест: Module 3 Homework
Graded: Module 3 Quiz: Confidence Intervals, Bootstrapping, and Plotting
WEEK 4
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, 1 practice quiz
- Video: Binomial Proportions Part A
- Video: Binomial Proportions Part B
- Video: Logs
- Тренировочный тест: Module 4 Homework
Graded: Module 4 Quiz: Binomial Proportions and Logs
FAQs
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Creators
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.
Ratings and Reviews
The content is in-depth and the instructor is knowledgeable, but the quiz demands a quite wide knowledge base and does not provide feedback.
Great course, though a little difficult in parts, particularly the first week. Worth working through though for a better understanding of probability and statistics.
A solid course on some of the fundamental principles of statistics and probability.
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very interesting and able to follow!