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ANOVA and Experimental Design · LearnSpace
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ANOVA and Experimental Design

Курс от University of Colorado Boulder
Средний≈ 40 чАнглийский
О курсеНавыкиПрограммаПреподаватели

О курсе

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

Навыки, которые вы освоите

Statistical AnalysisStatistical Hypothesis TestingStatistical ModelingRegression AnalysisStatistical InferenceStatistical MethodsResearch DesignGeneral Science and ResearchMathematical ModelingCalculusData EthicsExperimentationQuantitative ResearchData ScienceData AnalysisProbability & StatisticsLinear Algebra

Программа курса

4 модулей · 78 учебных материалов

01Introduction to ANOVA and Experimental Design28 материалов

Optional Introduction to Jupyter and R

Optional Introduction to Jupyter and RПрограммирование

Introduction to ANOVA and Experimental Design

Course Updates and Accessibility SupportЧтениеEarn Academic Credit for your Work!ЧтениеCourse SupportЧтение

Учитесь у экспертов

Brian Zaharatos

Director, Professional Master’s Degree in Applied Mathematics

ANOVA and Experimental Design
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Обучение на Coursera

≈ 40 ч

4 модулей

Язык: Английский

Субтитры: Арабский, Французский, Украинский, Китайский (Китай), Греческий, Итальянский, Бразильский португальский, Нидерландский, Корейский, Немецкий, Русский, Тайский, Индонезийский, Шведский, Турецкий, Испанский, Хинди, Японский, Казахский, Польский

Часть программы вашего университета
Assessment ExpectationsЧтение
Introduce YourselfОбсуждение
Introduction to Experimental DesignВидео
Introduction to ANOVA and Experimental DesignЗадание

The One-Way ANOVA and ANCOVA Models

The One-Way ANOVA and ANCOVA ModelsВидеоThe One-Way ANOVA and ANCOVA ModelsЗадание

ANOVA Variance Decomposition

ANOVA Variance DecompositionВидеоANOVA Variance DecompositionЗадание

ANOVA Sums of Squares and the F-Test

ANOVA Sums of Squares and the F-testВидеоANOVA Sums of Squares and the F-TestЗадание

ANOVA and ANCOVA as Regression Models

ANOVA and ANCOVA as Regression ModelsВидеоANOVA and ANCOVA as Regression ModelsЗадание

One-Way ANOVA Interpretation in the Regression Context

One-Way ANOVA Interpretation in the Regression ContextВидеоOne-Way ANOVA Interpretation in the Regression ContextЗадание

The ANCOVA Model

The ANCOVA ModelВидеоThe ANCOVA ModelЗадание

ANCOVA with Interactions

ANCOVA with InteractionsВидеоANCOVA with InteractionsЗадание

ANCOVA with Interactions in R

ANCOVA with Interactions in RВидеоANCOVA with Interactions in RЛабораторнаяANCOVA with Interactions in RЗадание

Assignments: One-Way ANOVA and ANCOVA

Module 1 Peer-Review LabЛабораторнаяModule 1 Peer-Review SubmissionВзаимная проверкаModule 1 AutogradedПрограммирование
02Hypothesis Testing in the ANOVA Context16 материалов

Beyond the Full F-test

Beyond the Full F-testВидеоBeyond the Full F-testЗадание

Planned Comparisons: Defining Contrasts

Planned Comparisons: Defining ContrastsВидеоPlanned Comparisons: Defining ContrastsЗадание

Planned and Unplanned Comparisons

Planned Comparisons: Hypothesis Testing with ContrastsВидеоPlanned Comparisons Using Contrasts in RЛабораторнаяPost Hoc ComparisonsВидеоPost Hoc Comparisons in RВидеоPlanned and Unplanned ComparisonsЗадание

Type II Error and Power in the ANOVA Context

Type II Error and Power in the ANOVA ContextВидеоPatrizio E. Tressoldi and David Giofré: "The pervasive avoidance of prospective statistical power: major consequences and practical solutions"ЧтениеType II Error and Power in the ANOVA ContextЗаданиеOptional: Beyond Power Calculations: Assessing Type S (Sign) and Type M (Magnitude) ErrorsЧтение

Assignments: ANOVA Hypothesis Testing and Post-Hoc Tests

Module 2 Peer-Review LabЛабораторнаяModule 2 Peer-Review SubmissionВзаимная проверкаModule 2 Autograded AssignmentПрограммирование
03Two-Way ANOVA and Interactions16 материалов

Motivating the Two-way ANOVA Model

Motivating the Two-way ANOVA ModelВидеоMotivating the Two-way ANOVA ModelЗадание

The Two-way ANOVA Model

The two-way ANOVA modelВидеоThe Two-way ANOVA ModelЗадание

The Two-way ANOVA Model as a Regression Model

The Two-way ANOVA Model as a Regression ModelВидеоThe Two-way ANOVA Model as a Regression ModelЗадание

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

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

Interactions in the Two-way ANOVA Model: Formal Tests

Interactions in the Two-way ANOVA Model: Formal TestsВидео Interactions in the Two-way ANOVA Model: Formal TestsЗадание

Two-way ANOVA Hypothesis Testing (no interaction)

Two-way ANOVA Hypothesis Testing (no interaction)Видео Two-way ANOVA Hypothesis Testing (no interaction)ЗаданиеLooking Ahead: Two-Way ANOVA and Experimental DesignВидео

Assignments: Two-Way ANOVA and ANOVA with Interaction Terms

Module 3 Peer-Review LabЛабораторнаяModule 3 Peer-Review SubmissionВзаимная проверкаModule 3 Autograded AssignmentПрограммирование
04Experimental Design: Basic Concepts and Designs18 материалов

The Conceptual Framework of Experimental Design

The Conceptual Framework of Experimental DesignВидеоThe Conceptual Framework of Experimental DesignЗадание

The Completely Randomized Design

The Completely Randomized DesignВидеоA Completely Randomized Design (CRD) in RЛабораторная The Completely Randomized DesignЗадание

The Randomized Complete Block Design (RCBD)

The Randomized Complete Block Design (RCBD)ВидеоThe Randomized Complete Block Design (RCBD): Hypothesis TestingВидеоThe Randomized Complete Block Design (RCBD)Задание

The Factorial Design

The Factorial DesignВидеоThe Factorial DesignЗадание

Further Issues in Experimental Design

Further Issues in Experimental DesignВидеоCausation and Experimental DesignЧтениеEthical Issues in Experimental DesignВидеоResources on Ethics Чтение Further Issues in Experimental DesignЗадание

Assignments: CRD, RCBD, and other Experimental Designs

Module 4 Peer-Review LabЛабораторнаяModule 4 Peer-Review SubmissionВзаимная проверкаModule 4 Autograded AssignmentПрограммирование