This course is part of the Advanced Statistics for Data Science Specialization

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80 ratings

Brian Caffo, PhD

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Offered By

Advanced Statistics for Data Science SpecializationJohns Hopkins University

About this Course

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Welcome to the Advanced Linear Models for Data Science Class 2: Statistical Linear Models. This class is an introduction to least squares from a linear algebraic and mathematical perspective. Before beginning the class make sure that you have the following:
- A basic understanding of linear algebra and multivariate calculus.
- A basic understanding of statistics and regression models.
- At least a little familiarity with proof based mathematics.
- Basic knowledge of the R programming language.

After taking this course, students will have a firm foundation in a linear algebraic treatment of regression modeling. This will greatly augment applied data scientists' general understanding of regression models.

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Earn a Certificate upon completion

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Course 4 of 4 in the

Advanced Statistics for Data Science Specialization

Advanced Level

Approx. 6 hours to complete

English

Subtitles: Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, English, Spanish

Flexible deadlines

Reset deadlines in accordance to your schedule.

Shareable Certificate

Earn a Certificate upon completion

100% online

Start instantly and learn at your own schedule.

Course 4 of 4 in the

Advanced Statistics for Data Science Specialization

Advanced Level

Approx. 6 hours to complete

English

Subtitles: Arabic, French, Portuguese (European), Italian, Vietnamese, German, Russian, English, Spanish

Instructor

Instructor rating

4.44/5 (9 Ratings)

Brian Caffo, PhD

Professor, Biostatistics

Bloomberg School of Public Health

1,488,172 Learners

30 Courses

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

Week

Week 1

2 hours to complete

Introduction and expected values

In this module, we cover the basics of the course as well as the prerequisites. We then cover the basics of expected values for multivariate vectors. We conclude with the moment properties of the ordinary least squares estimates.

2 hours to complete

7 videos (Total 38 min), 3 readings, 1 quiz

7 videos

Introductory video2m

Multivariate expected values, the basics4m

Expected values, matrix operations2m

Multivariate variances and covariances5m

Multivariate covariance and variance matrix operations5m

Expected values of quadratic forms3m

Expected value properties of least squares estimates13m

3 readings

Welcome to the class10m

Course textbook10m

Introduction to expected values10m

1 practice exercise

Expected Values30m

Week

Week 2

1 hour to complete

The multivariate normal distribution

In this module, we build up the multivariate and singular normal distribution by starting with iid normals.

1 hour to complete

4 videos (Total 31 min), 2 readings, 1 quiz

Week

Week 3

1 hour to complete

Distributional results

In this module, we build the basic distributional results that we see in multivariable regression.

1 hour to complete

8 videos (Total 60 min), 1 reading, 1 quiz

Week

Week 4

1 hour to complete

Residuals

In this module we will revisit residuals and consider their distributional results. We also consider the so-called PRESS residuals and show how they can be calculated without re-fitting the model.

1 hour to complete

4 videos (Total 32 min), 2 readings, 1 quiz

Reviews

4.5

13 reviews

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TOP REVIEWS FROM ADVANCED LINEAR MODELS FOR DATA SCIENCE 2: STATISTICAL LINEAR MODELS

by MLJan 30, 2017

Good course on applied linear statistical modeling.

by SJAug 6, 2020

This course is very powerfull for statistical linear

by PPOct 12, 2019

It is a very good course for any statistics to learn and have a sweet tastes of math and its behind functionality on data.

by SMApr 2, 2020

This is a great course from Johns Hopkins University . By taking this course, I improved my Data Management, Statistical Programming, and Statistics skills.

View all reviews

About the Advanced Statistics for Data Science Specialization

Fundamental concepts in probability, statistics and linear models are primary building blocks for data science work. Learners aspiring to become biostatisticians and data scientists will benefit from the foundational knowledge being offered in this specialization. It will enable the learner to understand the behind-the-scenes mechanism of key modeling tools in data science, like least squares and linear regression.

This specialization starts with Mathematical Statistics bootcamps, specifically concepts and methods used in biostatistics applications. These range from probability, distribution, and likelihood concepts to hypothesis testing and case-control sampling. This specialization also linear models for data science, starting from understanding least squares from a linear algebraic and mathematical perspective, to statistical linear models, including multivariate regression using the R programming language. These courses will give learners a firm foundation in the linear algebraic treatment of regression modeling, which will greatly augment applied data scientists' general understanding of regression models. This specialization requires a fair amount of mathematical sophistication. Basic calculus and linear algebra are required to engage in the content.

Frequently Asked Questions

When will I have access to the lectures and assignments?
Access to lectures and assignments depends on your type of enrollment. If you take a course in audit mode, you will be able to see most course materials for free. To access graded assignments and to earn a Certificate, you will need to purchase the Certificate experience, during or after your audit. If you don't see the audit option:
The course may not offer an audit option. You can try a Free Trial instead, or apply for Financial Aid.
The course may offer 'Full Course, No Certificate' instead. This option lets you see all course materials, submit required assessments, and get a final grade. This also means that you will not be able to purchase a Certificate experience.
What will I get if I subscribe to this Specialization?
When you enroll in the course, you get access to all of the courses in the Specialization, and you earn a certificate when you complete the work. 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.
Is financial aid available?
Yes. In select learning programs, you can apply for financial aid or a scholarship if you can’t afford the enrollment fee. If fin aid or scholarship is available for your learning program selection, you’ll find a link to apply on the description page.

More questions? Visit the Learner Help Center.

Advanced Linear Models for Data Science 2: Statistical Linear Models

About this Course