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Brian Zaharatos

Statistical modeling lies at the heart of data science. Well crafted statistical models allow data scientists to draw conclusions about the world from the limited information present in their data. In this three credit sequence, learners will add some intermediate and advanced statistical modeling techniques to their data science toolkit. In particular, learners will become proficient in the theory and application of linear regression analysis; ANOVA and experimental design; and generalized linear and additive models. Emphasis will be placed on analyzing real data using the R programming language.

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Statistical modeling lies at the heart of data science. Well crafted statistical models allow data scientists to draw conclusions about the world from the limited information present in their data. In this three credit sequence, learners will add some intermediate and advanced statistical modeling techniques to their data science toolkit. In particular, learners will become proficient in the theory and application of linear regression analysis; ANOVA and experimental design; and generalized linear and additive models. Emphasis will be placed on analyzing real data using the R programming language.

This specialization can be taken for academic credit as part of CU Boulder’s Master of Science in Data Science (MS-DS) degree offered on the Coursera platform. The MS-DS is an interdisciplinary degree that brings together faculty from CU Boulder’s departments of Applied Mathematics, Computer Science, Information Science, and others. With performance-based admissions and no application process, the MS-DS is ideal for individuals with a broad range of undergraduate education and/or professional experience in computer science, information science, mathematics, and statistics. Learn more about the MS-DS program at https://www.coursera.org/degrees/master-of-science-data-science-boulder.

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What's inside

Three courses

Modern Regression Analysis in R

This course provides a set of foundational statistical modeling tools for data science. Students will be introduced to methods, theory, and applications of linear statistical models, covering the topics of parameter estimation, residual diagnostics, goodness of fit, and various strategies for variable selection and model comparison.

ANOVA and Experimental Design

This course introduces the analysis of variance (ANOVA), analysis of covariance (ANCOVA), and experimental design. ANOVA and ANCOVA are presented as a type of linear regression model, providing the mathematical basis for designing experiments for data science applications. Emphasis is placed on important design-related concepts, such as randomization, blocking, factorial design, and causality. Ethical issues raised in experimentation are also discussed.

Generalized Linear Models and Nonparametric Regression

In the final course of the statistical modeling for data science program, learners will study a broad set of more advanced statistical modeling tools. Such tools will include generalized linear models (GLMs), which will provide an introduction to classification; nonparametric modeling, including kernel estimators, smoothing splines; and semi-parametric generalized additive models (GAMs).

Learning objectives

  • Correctly analyze and apply tools of regression analysis to model relationship between variables and make predictions given a set of input variables.
  • Successfully conduct experiments based on best practices in experimental design.
  • Use advanced statistical modeling techniques, such as generalized linear and additive models, to model wide range of real-world relationships.

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