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
Mathematical Biostatistics Boot Camp 1
Johns Hopkins University
About this Course
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Skills you will gain
StatisticsConfidence IntervalStatistical Hypothesis TestingBiostatistics
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Approx. 27 hours to complete
English
Subtitles: English
Offered by
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 - What you will learn from this course
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.
5 hours to complete
13 videos (Total 179 min), 2 readings, 2 quizzes
13 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
2 readings
Syllabus10m
Faculty10m
2 practice exercises
Module 1 Homework40m
Module 1 Quiz: Introduction, Probability, Expectations, and Random Vectors40m
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.
4 hours to complete
7 videos (Total 157 min)
7 videos
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 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.
3 hours to complete
7 videos (Total 121 min)
7 videos
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
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.
2 hours to complete
3 videos (Total 71 min)
2 practice exercises
Module 4 Homework10m
Module 4 Quiz: Binomial Proportions and Logs10m
Reviews
4.5
TOP REVIEWS FROM MATHEMATICAL BIOSTATISTICS BOOT CAMP 1
by DHJun 4, 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 11, 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.
by JBJul 8, 2017
Great course, though a little difficult in parts, particularly the first week. Worth working through though for a better understanding of probability and statistics.
by BEApr 5, 2018
This course is phenomenally well developed with great curriculum and materials for building astrong base to enter into statistics with a strong base of knowledge.
by KJMay 31, 2017
Overall good lectures and good practice material. Certainly not an introductory stat course - requires working knowledge of calculus and basic biostats.
by NBJan 17, 2016
I enjoyed the course. I wish there was perhaps a little more evaluation along the way (maybe occasional in-lecture questions), but otherwise very nice.
by HCJan 3, 2016
Good course, needs updating, since it was a first generation course. Worth taking, but make sure to review a bit of Calculus, especially integration.
by JYOct 19, 2015
Topics presented well for comprehension, good lecture quality.\n\nThese topics are covered in grad level statistics courses at certain universities.
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