## Model Type III Sum of Squares [General Statistics]

Hi ElMaestro,

» Please explain. When there is balance then the type I and type III SS should be the same in these BE trials, shouldn't they? Your Venn diagram should in my expectation have no overlapping circles.

Now I'm more confused :(

This question you asked was one of the very reason I created this thread.

I had thought that for a balanced BE design, the Type I SS for the different factors should be exactly the same as the Type III SS for those factors.

Also I had thought that if the above paragraph is true, then it should mean that the sum of the Type I SS of the different factors should be equal to the sum of the Type III SS which is in turn should be equal to the SS total for a balanced BE design.

I created this thread because the statement in the above paragraph was not what I observed for Type III SS in the several SAS outputs I looked at.

The statement of yours that almost made me understand the reason for the discrepancy was that what we consider balanced ANOVA in a BE design is not the way the Non-BE designs see theirs.

» Please explain. When there is balance then the type I and type III SS should be the same in these BE trials, shouldn't they? Your Venn diagram should in my expectation have no overlapping circles.

Now I'm more confused :(

This question you asked was one of the very reason I created this thread.

I had thought that for a balanced BE design, the Type I SS for the different factors should be exactly the same as the Type III SS for those factors.

Also I had thought that if the above paragraph is true, then it should mean that the sum of the Type I SS of the different factors should be equal to the sum of the Type III SS which is in turn should be equal to the SS total for a balanced BE design.

I created this thread because the statement in the above paragraph was not what I observed for Type III SS in the several SAS outputs I looked at.

The statement of yours that almost made me understand the reason for the discrepancy was that what we consider balanced ANOVA in a BE design is not the way the Non-BE designs see theirs.

—

Scopy

Scopy

### Complete thread:

- Model Type III Sum of Squares - Obinoscopy, 2018-12-16 07:58 [General Statistics]
- Model Type III Sum of Squares - ElMaestro, 2018-12-16 19:49
- Model Type III Sum of Squares - Obinoscopy, 2018-12-18 19:10
- Model Type III Sum of Squares - ElMaestro, 2018-12-18 21:32
- Model Type III Sum of Squares - Obinoscopy, 2018-12-20 20:42
- Model Type III Sum of Squares - ElMaestro, 2018-12-21 03:49
- Model Type III Sum of Squares - Obinoscopy, 2018-12-23 16:44
- Model Type III Sum of Squares - ElMaestro, 2018-12-23 18:21
- Model Type III Sum of Squares - Obinoscopy, 2018-12-25 16:56

- Model Type III Sum of Squares - ElMaestro, 2018-12-23 18:21

- Model Type III Sum of Squares - Obinoscopy, 2018-12-23 16:44

- Model Type III Sum of Squares - ElMaestro, 2018-12-21 03:49

- Model Type III Sum of Squares - Obinoscopy, 2018-12-20 20:42

- Model Type III Sum of Squares - ElMaestro, 2018-12-18 21:32

- Model Type III Sum of Squares - Obinoscopy, 2018-12-18 19:10

- Model Type III Sum of Squares - ElMaestro, 2018-12-16 19:49