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

Intro

Why ANOVA?

ANOVA Question

ANOVA Example 2

Pairwise t tests

Variance within distributions

Components of Total Variance

When to reject the null hypothesis

Between and Within Variance

Closing Remarks

Introduction

Null Hypothesis

Total Variation

Variance Example

Idea Behind ANOVA

ANOVA with multiple variables

Recap

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

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

What is ANOVA?

Factors and Levels

One-way ANOVA

Factorials

ANOVA Assumptions

Hypotheses in ANOVA

Interaction in ANOVA

Interaction Effects

Post Hoc Analyses

Conclusion

Data Set-Up

Alternative Hypothesis

Degrees of Freedom Between Groups

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

What is a Two-Way ANOVA?

One-Way ANOVA vs. Two-Way ANOVA?

What is a factor?

When do we use a Two-Way ANOVA?

What kind of statements can we make with a Two-Way-ANOVA?

What are the Hypotheses in a Two-Way-ANOVA?

What are the assumptions in a Two-Way-ANOVA?

Example of a Two-Way-ANOVA?

How to calculate a Two-Way-ANOVA?

Calculate a Two-Way-ANOVA online with DATAtab?

How to interpret the results of a Two-Way-ANOVA?

How to calculate a Two-Way-ANOVA by hand?

Results

Null vs Alternative Hypothesis

Alternative Hypothesis

Boxplots and Summary Statistics

Sample Statistics

One-Way ANOVA Results

Interpreting the p-value

Rejecting the Null Hypothesis

Strong Evidence Against the Null Hypothesis

Post-ANOVA Discussion

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

Bonferroni corrected t-tests or minimum significant difference

Interpreting the p-value

What is SVL?

Critical values

Error bars and confidence intervals

Calculating means and variances

Precise p-value

Interpreting the results

Conclusion