Intro

The ANOVA Model

Example: Ratings of Chocolate Bars

Model Sum of Squares

Degrees of Freedom Formula

F-Tests

ANOVA Test Statistic Formula

ANOVA for More Than Three Groups

Interpreting a Significant F-Test

Credits & Thanks

Terminology in ANOVA

Mean Squares (MS) and Variance

Why do We Use Variance for Mean Values?

Calculating the Mean Square, Sum of Squares and Degrees of Freedom of the Treatment

Calculating the Mean Square, Sum of Squares and Degrees of Freedom of the Error

Calculating the Total Sum of Square and Total Degrees of Freedom

Calculating the F-Value

The Critical F-Value (Accept/Reject Decision)

A Great ANOVA Resource (Free Top 10 Topic Course)

A Great Free Resource (Free Top 10 Topic Course)

Introduction

What is ANOVA

One way ANOVA Vs Two way ANOVA

Variance Between Vs Variance Within

Solved Example

Source of Variations

Quiz

Intro

Why ANOVA?

ANOVA Question

ANOVA Example 2

Example

Null and Alternative Hypothesis

Degrees of Freedom

Calculation of Degrees of Freedom

F-Tables

Sum of Squares

T-Squared Formula

Finding F

Equations for Mean Square Between and Mean Square Within

Conclusion of One-Way ANOVA

Why do you need an ANOVA?

What is an analysis of variance?

ANOVA without repeated measures

Independent variable

Why is our research question about the population?

ANOVA example

Alternative hypothesis

Variance explained by groups

Calculating an ANOVA

Conclusion

Intro

One-way ANOVA

One-way ANOVA Example

One-way ANOVA Basic Chart

Overall Mean

Variance

Computing the Sum of Squares

Interpretation of SSC

Interpreting the data

One-way ANOVA Formulas

Example

Null and Alternative Hypothesis

Alternative Hypothesis

Post Hoc Tests

When to use an ANOVA

Need help?

What is ANOVA?

Factors and Levels

One-way ANOVA

Factorials

ANOVA Assumptions

Hypotheses in ANOVA

Interaction in ANOVA

Interaction Effects

Post Hoc Analyses

Conclusion

Intro

ANOVA Calculations

Summary

Sum of Squares Within Groups

Calculating the F-Test

Example calculation

Final Calculations

Finding the F ratio

Critical Value

Conclusion

what is ANOVA (Analysis of Variance)?

What is a one-way analysis of variance (one-way ANOVA)?

ANOVA Step by Step with an example

ANOVA test null hypothesis

ANOVA test alternative hypothesis

What are the assumptions for ANOVA test

what are large sample assumptions

when do we use Kruskal-Wallis one-way analysis of variance

What is the difference between ANOVA and two-sample t-test

What is blocking or called stratified assignment in statistics

Intro

ANOVA Formulas

Data Presentation

Mean of Means

Calculations

Calculation for Group 2

Individual calculations

Main Sum of Squares

Critical Value

Summary

Introduction

One-way ANOVA model and assumptions

ANOVA model assumptions graphically

Mice lifetime data plot

One-way ANOVA F-test

One-way ANOVA table

One-way ANOVA table (continued)

F-distribution

F-test calculations by hand

Graphical comparison

F-test calculations using R

Introduction

Variance and SST

Exercise 1: Finding SST

One-way ANOVA

SSW and SSB

Exercise 2: Finding SSW and SSB

F-test

MS Excel aid

Intro

Example

Summary

Ideal examples

Why use t-test and ANOVA?

ANOVA Example

Rules for t-test and ANOVA

Differences between t-test and ANOVA

P-value

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