Finding idempotent matrices of ANOVA

Asked Aug 31 '20 at 07:40

Active Sep 01 '20 at 01:26

Viewed 48 times

With a simple additive fixed effect one-way classification model, how do you show using matrices,

enter image description here ?

Counting degrees of freedom, I understand why n-1, k-1, n-k are there, which are ranks of idempotent matrices. What I couldn't find are the idempotent matrices.

For example, If enter image description here

I have problem from the last term, in making a quadratic form which contains idempotent matrix.

edited Sep 01 '20 at 01:26

asked Aug 31 '20 at 07:40

Nekt

1

If this is homework you should add the `self-study` tag and share your work on the problem. – StubbornAtom Aug 31 '20 at 14:43
https://stats.stackexchange.com/a/473209/119261, https://stats.stackexchange.com/q/188626/119261 – StubbornAtom Aug 31 '20 at 15:14

Finding idempotent matrices of ANOVA

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