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University of Colorado Boulder - ANOVA and Experimental Design 

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ANOVA and Experimental Design
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Overview

Duration

39 hours

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Total fee

Free

Mode of learning

Online

Difficulty level

Intermediate

Official Website

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Credential

Certificate

ANOVA and Experimental Design
 at 
Coursera 
Highlights

  • Shareable Certificate Earn a Certificate upon completion
  • 100% online Start instantly and learn at your own schedule.
  • Course 2 of 3 in the Statistical Modeling for Data Science Applications Specialization
  • Flexible deadlines Reset deadlines in accordance to your schedule.
  • Intermediate Level Calculus, linear algebra, and probability theory.
  • Approx. 39 hours to complete
  • English Subtitles: English
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ANOVA and Experimental Design
 at 
Coursera 
Course details

More about this course
  • 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
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ANOVA and Experimental Design
 at 
Coursera 
Curriculum

Introduction to ANOVA and Experimental Design

Introduction to Experimental Design

The One-Way ANOVA and ANCOVA Models

ANOVA Variance Decomposition

ANOVA Sums of Squares and the F-test

ANOVA and ANCOVA as Regression Models

One-Way ANOVA Interpretation in the Regression Context

The ANCOVA Model

ANCOVA with Interactions

ANCOVA with Interactions in R

Introduction to ANOVA and Experimental Design

The One-Way ANOVA and ANCOVA Models

ANOVA Variance Decomposition

ANOVA Sums of Squares and the F-Test

ANOVA and ANCOVA as Regression Models

One-Way ANOVA Interpretation in the Regression Context

The ANCOVA Model

ANCOVA with Interactions

ANCOVA with Interactions in R

Hypothesis Testing in the ANOVA Context

Beyond the Full F-test

Planned Comparisons: Defining Contrasts

Planned Comparisons: Hypothesis Testing with Contrasts

Post Hoc Comparisons

Post Hoc Comparisons in R

Type II Error and Power in the ANOVA Context

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

Beyond the Full F-test

Planned Comparisons: Defining Contrasts

Planned and Unplanned Comparisons

Type II Error and Power in the ANOVA Context

Two-Way ANOVA and Interactions

Motivating the Two-way ANOVA Model

The two-way ANOVA model

The Two-way ANOVA Model as a Regression Model

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

Interactions in the Two-way ANOVA Model: Formal Tests

Two-way ANOVA Hypothesis Testing (no interaction)

Looking Ahead: Two-Way ANOVA and Experimental Design

Motivating the Two-way ANOVA Model

The Two-way ANOVA Model

The Two-way ANOVA Model as a Regression Model

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

Interactions in the Two-way ANOVA Model: Formal Tests

Two-way ANOVA Hypothesis Testing (no interaction)

Experimental Design: Basic Concepts and Designs

The Conceptual Framework of Experimental Design

The Completely Randomized Design

The Randomized Complete Block Design (RCBD)

The Randomized Complete Block Design (RCBD): Hypothesis Testing

The Factorial Design

Further Issues in Experimental Design

Ethical Issues in Experimental Design

Causation and Experimental Design

Resources on Ethics

The Conceptual Framework of Experimental Design

The Completely Randomized Design

The Randomized Complete Block Design (RCBD)

The Factorial Design

Further Issues in Experimental Design

ANOVA and Experimental Design
 at 
Coursera 
Admission Process

    Important Dates

    May 25, 2024
    Course Commencement Date

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