Timeline for Multifactor ANOVA- What is the connection between sample size and orthogonality?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 13, 2021 at 3:07 | vote | accept | Sean Raleigh | ||
| S Dec 9, 2021 at 6:03 | history | bounty ended | CommunityBot | ||
| S Dec 9, 2021 at 6:03 | history | notice removed | CommunityBot | ||
| Dec 7, 2021 at 14:35 | comment | added | Sean Raleigh | @user277126, rather than just a drive-by comment calling my question "baseless", it would be more helpful to post an answer showing the design matrix of the cell means model as an answer so I can see where I may have gone wrong. Also, for the record, the sum of squares for many, many ANOVA calculations I've done over the years show that the claim is not baseless. For example, Type I ANOVA only yields the same answers independent of entering the factors into the model (neatly partitioning the SS) when the sample sizes are equal across groups. | |
| Dec 6, 2021 at 15:43 | answer | added | Eoin | timeline score: 1 | |
| Dec 6, 2021 at 13:20 | comment | added | user277126 | Your original claim is baseless that "balanced designs" have anything to do with orthogonality. Also, you must have not expressed the ANOVA model as a cell means model, or else you'd see its columns are orthogonal, even for an unbalanced design. | |
| Dec 5, 2021 at 20:36 | answer | added | dfife | timeline score: 0 | |
| Dec 1, 2021 at 19:49 | comment | added | Sean Raleigh | I've written down the design matrix and (1) the columns do not appear to be orthogonal, and (2) even if they were, I fail to see how equal sample sizes would contribute to that. | |
| Dec 1, 2021 at 4:43 | comment | added | user277126 | It is the columns of the design matrix in ANOVA that are orthogonal in the cell means model formulation. This treats the multifactor ANOVA as a one-way ANOVA with many classes | |
| S Dec 1, 2021 at 4:23 | history | bounty started | Sean Raleigh | ||
| S Dec 1, 2021 at 4:23 | history | notice added | Sean Raleigh | Draw attention | |
| Nov 18, 2021 at 6:41 | history | asked | Sean Raleigh | CC BY-SA 4.0 |