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Linear Regression Modeling for Health Data

Philip S. Boonstra and Bhramar Mukherjee

This course provides learners with a first look at the world of statistical modeling. It begins with a high-level overview of different philosophies on the question of 'what is a statistical model' and introduces learners to the core ideas of traditional statistical inference and reasoning. Learners will get their first look at the ever-popular t-test and delve further into linear regression. They will also learn how to fit and interpret regression models for a continuous outcome with multiple predictors. All concepts taught in this course will be covered with multiple modalities: slide-based lectures, guided coding practice with the instructor, and independent but structured exercises.

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What's inside

Syllabus

Principles of Statistical Modeling
This module gives you a first look at the world of statistical modeling. It begins with a high-level overview of different philosophies on the question of 'what is a statistical model' and introduces you to the core ideas of traditional statistical inference and reasoning. At the end of the module, you will have an introductory understanding of important terms such as 'sample-to-population' (STOP) principle, sampling variation, and measures of statistical uncertainty. You will also get your first look at the ever popular t-test.
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Simple Linear Regression
This module takes you beyond t-test into linear regression. By the end of the module, you will understand how linear regression is a generalization of the t-test.
Multiple Linear Regression
A key reason that linear regression is so powerful is that it allows to adjust for multiple predictors at the same time. In Module 3, you will learn how to fit regression models for multiple predictors. You will see how to interpret the resulting model and how to use it to answer different questions about your data.

Good to know

Know what's good
, what to watch for
, and possible dealbreakers
Covers core ideas of statistical inference and reasoning, helping learners build a foundation in understanding statistical concepts
Introduces learners to the widely used t-test, providing a practical application of statistical inference
Progresses beyond t-test into linear regression, expanding learners' understanding of statistical modeling techniques
Empowers learners to fit and interpret regression models with multiple predictors, enhancing their ability to analyze complex datasets
Provides a blend of learning modalities, including slide-based lectures, coding practice, and exercises, catering to diverse learning styles
Taught by instructors Philip S. Boonstra and Bhramar Mukherjee, both recognized for their expertise in the field of statistics

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Activities

Be better prepared before your course. Deepen your understanding during and after it. Supplement your coursework and achieve mastery of the topics covered in Linear Regression Modeling for Health Data with these activities:
Review basic probability and statistics concepts
Refreshes essential foundational knowledge for success in this course
Browse courses on Probability
Show steps
  • Review notes or textbooks on probability and statistics
  • Complete practice problems to test understanding
Watch online tutorials on statistical modeling concepts
Provides additional support and reinforcement of course material
Browse courses on Statistical Modeling
Show steps
  • Identify relevant online tutorials
  • Watch the tutorials attentively
  • Take notes and summarize key points
Form a study group with classmates to discuss course material and practice problems
Fosters collaboration, promotes active learning, and provides support from peers
Browse courses on Statistical Modeling
Show steps
  • Find classmates who are interested in forming a study group
  • Establish regular meeting times and locations
  • Prepare for each meeting by reviewing the material
  • Actively participate in discussions and ask questions
Five other activities
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Read 'Introduction to Statistical Modeling' by John Fox
Provides a comprehensive introduction to statistical modeling, addressing two core questions: what is a statistical model and what is the process of statistical modeling?
Show steps
  • Read chapters 1 and 2
  • Complete the exercises at the end of each chapter
  • Summarize the key concepts in your own words
Complete the practice problems in the course textbook
Provides an opportunity to apply the concepts learned in the course and reinforce understanding
Browse courses on t-Test
Show steps
  • Identify the relevant practice problems
  • Attempt to solve the problems independently
  • Check your solutions against the provided answer key
Create a presentation on a statistical modeling topic
Encourages a deeper understanding of the material through active recall and synthesis
Browse courses on Statistical Modeling
Show steps
  • Choose a topic
  • Research the topic
  • Create a presentation outline
  • Develop the presentation slides
  • Practice presenting
Develop a predictive model using a real-world dataset
Provides practical experience in applying statistical modeling to real-world problems
Browse courses on Statistical Modeling
Show steps
  • Identify a suitable dataset
  • Clean and prepare the data
  • Build and evaluate a predictive model
  • Interpret the results and make predictions
Contribute to an open-source statistical modeling project
Provides hands-on experience in working with real-world statistical modeling code
Browse courses on Statistical Modeling
Show steps
  • Identify a suitable open-source project
  • Read the project documentation
  • Contribute improvements or new features
  • Submit a pull request

Career center

Learners who complete Linear Regression Modeling for Health Data will develop knowledge and skills that may be useful to these careers:
Statistician
Statisticians use their knowledge of statistics to design surveys, collect and analyze data, and interpret the results. They work in a variety of industries, including healthcare, finance, and marketing. The skills you learn in this course, such as how to fit and interpret regression models, will be essential for success in this role. Additionally, the course provides a strong foundation in statistical principles, which will be helpful for understanding more advanced statistical techniques.
Data Analyst
Data Analysts collect, clean, and analyze data to help businesses make informed decisions. They use a variety of statistical techniques, including regression analysis, to identify trends and patterns in data. The skills you learn in this course will be essential for success in this role. Additionally, the course provides a strong foundation in statistical principles, which will be helpful for understanding more advanced data analysis techniques.
Biostatistician
Biostatisticians apply statistical methods to solve problems in the health sciences. They work with researchers to design clinical trials, analyze data, and interpret results. The skills you learn in this course will be essential for success in this role. Additionally, the course provides a strong foundation in statistical principles, which will be helpful for understanding more advanced biostatistical techniques.
Epidemiologist
Epidemiologists study the distribution and causes of disease in populations. They use a variety of statistical techniques, including regression analysis, to identify risk factors for disease and develop prevention strategies. The skills you learn in this course will be essential for success in this role. Additionally, the course provides a strong foundation in statistical principles, which will be helpful for understanding more advanced epidemiological techniques.
Market Researcher
Market Researchers collect and analyze data about consumers and markets. They use a variety of statistical techniques, including regression analysis, to identify trends and patterns in data. The skills you learn in this course will be essential for success in this role. Additionally, the course provides a strong foundation in statistical principles, which will be helpful for understanding more advanced market research techniques.
Actuary
Actuaries use statistical methods to assess risk and uncertainty. They work in a variety of industries, including insurance, finance, and healthcare. The skills you learn in this course will be essential for success in this role. Additionally, the course provides a strong foundation in statistical principles, which will be helpful for understanding more advanced actuarial techniques.
Operations Research Analyst
Operations Research Analysts use statistical methods to improve the efficiency of organizations. They work in a variety of industries, including manufacturing, transportation, and healthcare. The skills you learn in this course will be essential for success in this role. Additionally, the course provides a strong foundation in statistical principles, which will be helpful for understanding more advanced operations research techniques.
Financial Analyst
Financial Analysts use statistical methods to analyze financial data and make investment recommendations. They work in a variety of industries, including investment banking, asset management, and financial planning. The skills you learn in this course will be essential for success in this role. Additionally, the course provides a strong foundation in statistical principles, which will be helpful for understanding more advanced financial analysis techniques.
Data Scientist
Data Scientists use statistical methods to analyze data and solve business problems. They work in a variety of industries, including technology, healthcare, and finance. The skills you learn in this course will be essential for success in this role. Additionally, the course provides a strong foundation in statistical principles, which will be helpful for understanding more advanced data science techniques.
Computer Programmer
Computer Programmers write and maintain computer code. While not directly related to statistics, the skills you learn in this course, such as problem-solving and critical thinking, will be helpful for success in this role.
Software Engineer
Software Engineers design, develop, and test software applications. While not directly related to statistics, the skills you learn in this course, such as problem-solving and critical thinking, will be helpful for success in this role.
Database Administrator
Database Administrators manage and maintain databases. While not directly related to statistics, the skills you learn in this course, such as problem-solving and critical thinking, will be helpful for success in this role.
Web Developer
Web Developers design and develop websites. While not directly related to statistics, the skills you learn in this course, such as problem-solving and critical thinking, will be helpful for success in this role.
Network Administrator
Network Administrators manage and maintain computer networks. While not directly related to statistics, the skills you learn in this course, such as problem-solving and critical thinking, will be helpful for success in this role.
Systems Analyst
Systems Analysts design and implement computer systems. While not directly related to statistics, the skills you learn in this course, such as problem-solving and critical thinking, will be helpful for success in this role.

Reading list

We've selected nine books that we think will supplement your learning. Use these to develop background knowledge, enrich your coursework, and gain a deeper understanding of the topics covered in Linear Regression Modeling for Health Data.
Provides a comprehensive overview of data analysis for health sciences. It valuable reference for both beginners and experienced practitioners.
Provides a comprehensive overview of statistical learning methods, including linear regression. It valuable reference for both beginners and experienced practitioners.
Provides a comprehensive overview of statistical methods used in health care research. It valuable reference for both beginners and experienced practitioners.
Provides a comprehensive guide to linear regression modeling in R. It valuable resource for both beginners and experienced practitioners.
Provides a comprehensive overview of generalized linear models with R. It valuable reference for both beginners and experienced practitioners.

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