Linked Questions

3
votes
2answers
5k views

Why do we use ANOVA and linear regression together? [duplicate]

What is the advantage (if any) to fitting both a linear regression model to a dataset and running an ANOVA test if these are both ultimately identical?
54
votes
4answers
36k views

How are regression, the t-test, and the ANOVA all versions of the general linear model?

How are they all versions of the same basic statistical method?
12
votes
5answers
7k views

How to test an interaction effect with a non-parametric test (e.g. a permutation test)?

I have two categorical / nominal variables. Each of them can take only two distinct values (so, I have 4 combinations in total). Each combination of values comes with a set of numerical values. So, I ...
10
votes
1answer
6k views

R: Anova and Linear Regression

I am new to statistics and I am trying to understand the difference between ANOVA and linear regression. I am using R to explore this. I read various articles about why ANOVA and regression are ...
7
votes
1answer
6k views

Linear regression vs analysis of variance: how to explain the difference?

On the Mathematics site an OP who is just learning statistics gave his description of the difference between linear regression and ANOVA and asked if his interpretation was correct. I responded that ...
19
votes
1answer
1k views

Cheat Sheet ANOVA Alphabet Soup & Regression Equivalents

Can I get help completing this tentative (in progress) attempt at getting my bearings on ANOVA's and REGRESSION equivalents? I have been trying to reconcile the concepts, nomenclature and syntax of ...
4
votes
3answers
1k views

Linear Regression and ANOVA [duplicate]

I found two very useful posts about the difference between linear regression analysis and ANOVA and how to visualise them: Why is ANOVA taught / used as if it is a different research methodology ...
2
votes
2answers
597 views

What's the difference between regression and analysis of variance?

Like, I don't get it. In regression, we say $$Y_i = a + bX_i + \epsilon$$ where $X_i$ is just a real number for each observation $i$, and in analysis of variance with two groups, we say $$Y_i = a + ...
0
votes
0answers
1k views

Is ANOVA just a panel data model with dummy variables for group?

This might be a silly question, but I'm confused why ANOVA is different from a panel data model, with dummy variables for group, and inference on the coefficients on the dummy variables. Is this what ...
0
votes
2answers
83 views

Difference in Group Sample Rate, not Size, based on Independent Variable

I'm working on a study that involves measuring breathing effort of an individual over short periods of time (specifically breath distention). The dependent variable is based on a new therapeutic and ...
2
votes
0answers
86 views

Who first stated the relationship between ANOVA and linear regression?

ANOVA is usually thought as equivalent to linear regression, which is very interesting. Who first discovered this fact? Did Fisher know about this when he worked on ANOVA?
0
votes
0answers
61 views

Show that the cross-product term $\hat y'r$ from $ y'y$ is 0 [duplicate]

Show that the cross-product term \hat $y'r$ from $y'y$ is 0. I see that $y'y = ( \hat y + r)'( \hat y + r) = \hat y' \hat y + \hat y'r + r' \hat y + r'r$ But not sure what identity can be used here ...