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ANOVA and Experimental Design
  • Level Professional
  • Duration 40 hours
  • Course by University of Colorado Boulder
  • Offered by

About

This second course in statistical modeling will introduce students to the study of the analysis of variance (ANOVA), analysis of covariance (ANCOVA), and experimental design. ANOVA and ANCOVA, presented as a type of linear regression model, will provide the mathematical basis for designing experiments for data science applications. Emphasis will be placed on important design-related concepts, such as randomization, blocking, factorial design, and causality. Some attention will also be given to ethical issues raised in experimentation. This course 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. Logo adapted from photo by Vincent Ledvina on Unsplash

Modules

Optional Introduction to Jupyter and R

    • 1 Programming
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1 Programming

  • Optional Introduction to Jupyter and R

Introduction to ANOVA and Experimental Design

    • 1 Videos
    • 3 Readings
    • 1 Discussion
    • 1 Quiz
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1 Discussions

  • Introduce Yourself

1 Videos

  • Introduction to Experimental Design

3 Readings

  • Earn Academic Credit for your Work!
  • Course Support
  • Assessment Expectations

1 Quiz

  • Introduction to ANOVA and Experimental Design

The One-Way ANOVA and ANCOVA Models

    • 1 Videos
    • 1 Quiz
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1 Videos

  • The One-Way ANOVA and ANCOVA Models

1 Quiz

  • The One-Way ANOVA and ANCOVA Models

ANOVA Variance Decomposition

    • 1 Videos
    • 1 Quiz
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1 Videos

  • ANOVA Variance Decomposition

1 Quiz

  • ANOVA Variance Decomposition

ANOVA Sums of Squares and the F-Test

    • 1 Videos
    • 1 Quiz
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1 Videos

  • ANOVA Sums of Squares and the F-test

1 Quiz

  • ANOVA Sums of Squares and the F-Test

ANOVA and ANCOVA as Regression Models

    • 1 Videos
    • 1 Quiz
Show info about module content

1 Videos

  • ANOVA and ANCOVA as Regression Models

1 Quiz

  • ANOVA and ANCOVA as Regression Models

One-Way ANOVA Interpretation in the Regression Context

    • 1 Videos
    • 1 Quiz
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1 Videos

  • One-Way ANOVA Interpretation in the Regression Context

1 Quiz

  • One-Way ANOVA Interpretation in the Regression Context

The ANCOVA Model

    • 1 Videos
    • 1 Quiz
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1 Videos

  • The ANCOVA Model

1 Quiz

  • The ANCOVA Model

ANCOVA with Interactions

    • 1 Videos
    • 1 Quiz
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1 Videos

  • ANCOVA with Interactions

1 Quiz

  • ANCOVA with Interactions

ANCOVA with Interactions in R

    • 1 Videos
    • 1 Quiz
    • 1 Lab
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1 Labs

  • ANCOVA with Interactions in R

1 Videos

  • ANCOVA with Interactions in R

1 Quiz

  • ANCOVA with Interactions in R

Assignments: One-Way ANOVA and ANCOVA

    • 1 PeerReview
    • 1 Lab
    • 1 Programming
Show info about module content

1 Programming

  • Module 1 Autograded

1 Peer Review

  • Module 1 Peer-Review Submission

1 Labs

  • Module 1 Peer-Review Lab

Beyond the Full F-test

    • 1 Videos
    • 1 Quiz
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1 Videos

  • Beyond the Full F-test

1 Quiz

  • Beyond the Full F-test

Planned Comparisons: Defining Contrasts

    • 1 Videos
    • 1 Quiz
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1 Videos

  • Planned Comparisons: Defining Contrasts

1 Quiz

  • Planned Comparisons: Defining Contrasts

Planned and Unplanned Comparisons

    • 3 Videos
    • 1 Quiz
    • 1 Lab
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1 Labs

  • Planned Comparisons Using Contrasts in R

3 Videos

  • Planned Comparisons: Hypothesis Testing with Contrasts
  • Post Hoc Comparisons
  • Post Hoc Comparisons in R

1 Quiz

  • Planned and Unplanned Comparisons

Type II Error and Power in the ANOVA Context

    • 1 Videos
    • 2 Readings
    • 1 Quiz
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1 Videos

  • Type II Error and Power in the ANOVA Context

2 Readings

  • Patrizio E. Tressoldi and David Giofré: "The pervasive avoidance of prospective statistical power: major consequences and practical solutions"
  • Optional: Beyond Power Calculations: Assessing Type S (Sign) and Type M (Magnitude) Errors

1 Quiz

  • Type II Error and Power in the ANOVA Context

Assignments: ANOVA Hypothesis Testing and Post-Hoc Tests

    • 1 PeerReview
    • 1 Lab
    • 1 Programming
Show info about module content

1 Programming

  • Module 2 Autograded Assignment

1 Peer Review

  • Module 2 Peer-Review Submission

1 Labs

  • Module 2 Peer-Review Lab

Motivating the Two-way ANOVA Model

    • 1 Videos
    • 1 Quiz
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1 Videos

  • Motivating the Two-way ANOVA Model

1 Quiz

  • Motivating the Two-way ANOVA Model

The Two-way ANOVA Model

    • 1 Videos
    • 1 Quiz
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1 Videos

  • The two-way ANOVA model

1 Quiz

  • The Two-way ANOVA Model

The Two-way ANOVA Model as a Regression Model

    • 1 Videos
    • 1 Quiz
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1 Videos

  • The Two-way ANOVA Model as a Regression Model

1 Quiz

  • The Two-way ANOVA Model as a Regression Model

Interaction Terms in the Two-way ANOVA Model: Definitions and Visualizations

    • 1 Videos
    • 1 Quiz
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1 Videos

  • Interaction Terms in the Two-way ANOVA Model: Definitions and Visualizations

1 Quiz

  • Interaction Terms in the Two-way ANOVA Model: Definitions and Visualizations

Interactions in the Two-way ANOVA Model: Formal Tests

    • 1 Videos
    • 1 Quiz
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1 Videos

  • Interactions in the Two-way ANOVA Model: Formal Tests

1 Quiz

  • Interactions in the Two-way ANOVA Model: Formal Tests

Two-way ANOVA Hypothesis Testing (no interaction)

    • 2 Videos
    • 1 Quiz
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2 Videos

  • Two-way ANOVA Hypothesis Testing (no interaction)
  • Looking Ahead: Two-Way ANOVA and Experimental Design

1 Quiz

  • Two-way ANOVA Hypothesis Testing (no interaction)

Assignments: Two-Way ANOVA and ANOVA with Interaction Terms

    • 1 PeerReview
    • 1 Lab
    • 1 Programming
Show info about module content

1 Programming

  • Module 3 Autograded Assignment

1 Peer Review

  • Module 3 Peer-Review Submission

1 Labs

  • Module 3 Peer-Review Lab

The Conceptual Framework of Experimental Design

    • 1 Videos
    • 1 Quiz
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1 Videos

  • The Conceptual Framework of Experimental Design

1 Quiz

  • The Conceptual Framework of Experimental Design

The Completely Randomized Design

    • 1 Videos
    • 1 Quiz
    • 1 Lab
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1 Labs

  • A Completely Randomized Design (CRD) in R

1 Videos

  • The Completely Randomized Design

1 Quiz

  • The Completely Randomized Design

The Randomized Complete Block Design (RCBD)

    • 2 Videos
    • 1 Quiz
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2 Videos

  • The Randomized Complete Block Design (RCBD)
  • The Randomized Complete Block Design (RCBD): Hypothesis Testing

1 Quiz

  • The Randomized Complete Block Design (RCBD)

The Factorial Design

    • 1 Videos
    • 1 Quiz
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1 Videos

  • The Factorial Design

1 Quiz

  • The Factorial Design

Further Issues in Experimental Design

    • 2 Videos
    • 2 Readings
    • 1 Quiz
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2 Videos

  • Further Issues in Experimental Design
  • Ethical Issues in Experimental Design

2 Readings

  • Causation and Experimental Design
  • Resources on Ethics

1 Quiz

  • Further Issues in Experimental Design

Assignments: CRD, RCBD, and other Experimental Designs

    • 1 PeerReview
    • 1 Lab
    • 1 Programming
Show info about module content

1 Programming

  • Module 4 Autograded Assignment

1 Peer Review

  • Module 4 Peer-Review Submission

1 Labs

  • Module 4 Peer-Review Lab

Auto Summary

Explore the essentials of ANOVA, ANCOVA, and experimental design in this advanced statistical modeling course. Ideal for data science enthusiasts, it covers linear regression models, randomization, blocking, and factorial design, with ethical considerations in experimentation. Taught by CU Boulder faculty, this course is part of the MS-DS degree available on Coursera. Flexible subscription options cater to both beginners and professionals.

Brian Zaharatos
Instructor

Brian Zaharatos