Mathematical Biostatistics Boot Camp 1
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Mathematical Biostatistics Boot Camp 1
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Description
When you enroll for courses through Coursera you get to choose for a paid plan or for a free plan .
- Free plan: No certicification and/or audit only. You will have access to all course materials except graded items.
- Paid plan: Commit to earning a Certificate—it's a trusted, shareable way to showcase your new skills.
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
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When you enroll for courses through Coursera you get to choose for a paid plan or for a free plan .
- Free plan: No certicification and/or audit only. You will have access to all course materials except graded items.
- Paid plan: Commit to earning a Certificate—it's a trusted, shareable way to showcase your new skills.
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
Each course is like an interactive textbook, featuring pre-recorded videos, quizzes and projects.
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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.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 expand
- Video: Welcome to the Course
- Reading: Syllabus
- Reading: 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
- Practice Quiz: 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 expand
- 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
- Practice Quiz: 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 expand
- 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
- Practice Quiz: 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 expand
- Video: Binomial Proportions Part A
- Video: Binomial Proportions Part B
- Video: Logs
- Practice Quiz: Module 4 Homework
Graded: Module 4 Quiz: Binomial Proportions and Logs
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