Model Type III Sum of Squares [General Statistics]
Thanks so much ElMaestro. I think I have an improved grasp of the different SS Types now thanks to you.
I also want to use the Venn Diagram when looking at the method of calculating the SSs. I am imagining a Venn Diagram with Factors A, B and C pictured as spheres that sometimes overlap.
For Type I, if I want to determine the SS for factor A first then we have SS(A). Then if the next is factor B, we have to remove the component of A in B which gives SS(B∩A'). And finally for C, we have SS(C∩A'∩B').
For Type III, we just do SS(A), SS(B) and SS(C). or something in that light. I don't know if it's the right way to imagine it.
However I want to confirm the statement that "SS results for Type I and III are the same for a balanced design". Is that true?
I read it somewhere. Though I noticed they mentioned orthogonality as well.
I will definitely play around :). Thanks.
Regards,
I also want to use the Venn Diagram when looking at the method of calculating the SSs. I am imagining a Venn Diagram with Factors A, B and C pictured as spheres that sometimes overlap.
For Type I, if I want to determine the SS for factor A first then we have SS(A). Then if the next is factor B, we have to remove the component of A in B which gives SS(B∩A'). And finally for C, we have SS(C∩A'∩B').
For Type III, we just do SS(A), SS(B) and SS(C). or something in that light. I don't know if it's the right way to imagine it.
However I want to confirm the statement that "SS results for Type I and III are the same for a balanced design". Is that true?
I read it somewhere. Though I noticed they mentioned orthogonality as well.
❝ Try and look at type I SS and specify subject before sequence, and sequence before subject and see what happens . Play around. Type I SS's will add up (the relative drawback is that the SS's for each factor can depend on which factors specified before others), but type III SS's won't necessarily add up.
I will definitely play around :). Thanks.
Regards,
—
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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 SquaresObinoscopy 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 SquaresObinoscopy 2018-12-18 19:10
- Model Type III Sum of Squares ElMaestro 2018-12-16 19:49