Об этом курсе: 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.
Автор: Johns Hopkins University
Преподаватели: Brian Caffo, PhD, Professor, Biostatistics
Bloomberg School of Public Health
| Выполнение | 3-5 hours/week |
| Язык | English |
| Как пройти курс | Чтобы пройти курс, выполните все оцениваемые задания. |
| Оценки пользователей |
Программа курса
НЕДЕЛЯ 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 видео, 2 материала для самостоятельного изучения, 1 тренировочный тест
- Reading: Syllabus
- Reading: Faculty
- Видео: Biostatistics and Experiments
- Видео: Set Notation and Probability
- Видео: Probability
- Видео: Random Variables
- Видео: PMFs and PDFs
- Видео: CDFs, Survival Functions, and Quantiles
- Видео: Expected Values
- Видео: Rules About Expected Values
- Видео: Variances and Chebyshev's Inequality
- Видео: Random Vectors and Independence
- Видео: Correlation
- Видео: Variance Properties and Sample Variance
- Practice Quiz: Module 1 Homework
Оцениваемый: Module 1 Quiz: Introduction, Probability, Expectations, and Random Vectors
НЕДЕЛЯ 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 видео, 1 тренировочный тест
- Видео: Bayes' Rule and DLRs
- Видео: Likelihood
- Видео: Bernoulli Distribution and Binomial Trials
- Видео: The Normal Distribution
- Видео: Limits and LLN
- Видео: CLT and Confidence Intervals
- Practice Quiz: Module 2 Homework
Оцениваемый: Module 2 Quiz: Conditional Probability, Bayes' Rule, Likelihood, Distributions, and Asymptotics
НЕДЕЛЯ 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 видео, 1 тренировочный тест
- Видео: Student's t Distribution and CI for Normal Means
- Видео: Profile Likelihoods
- Видео: T Confidence Intervals
- Видео: Plotting
- Видео: The Jackknife
- Видео: Bootstrapping
- Practice Quiz: Module 3 Homework
Оцениваемый: Module 3 Quiz: Confidence Intervals, Bootstrapping, and Plotting
НЕДЕЛЯ 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 видео, 1 тренировочный тест
- Видео: Binomial Proportions Part B
- Видео: Logs
- Practice Quiz: Module 4 Homework
Оцениваемый: Module 4 Quiz: Binomial Proportions and Logs
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Авторы
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.
Рейтинги и отзывы
One of the greatest introductory courses on statistics available for free in the internet. If you are interested in the subject you should really go for it, but realize that indeed it is very difficult and you will need to do a lot of extra research, especially at the exercises. Great couse.
A whirlwind tour of statistics. Questions are very tough. You have to rack your brains hard, to solve them. But well worth the effort.
Does this really need to be called mathematical BIOstatistics? The content itself is regular mathematical statistics, just with examples from biology. Add in a couple of examples from elsewhere and the scope of the class is broadened. Still, as someone with a STEM background but not in biology, I found this course to be excellent.
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This is a very worthful course to SUFFER! I'd like to say, no camp, no gain. In addition to the statistics with math, I experience how important of "hang on there and never give up"!I'm going to the camp 2 to see what's gonna happen.