MSE of partial replicate design [General Sta­tis­tics]

posted by d_labes  – Berlin, Germany, 2013-04-10 13:15 (4814 d 01:59 ago) – Posting: # 10398
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Hi again ElMaestro,

❝ The errors are the withins on the diagonal of V; just take the average to get the mean squared error.


Do you have some references for that or some theoretical argument?
Or is that from the category "It is obvious that ..."?
All I have seen up to now assume s2wT=s2wR=s2e and argue then.

❝ Btw, shouldn't it be zero in cell (2,1), (3,1), (1,2) and (1,3) ?

❝ I am not sure you'd co-vary a T-observation with an R-observation.


Frankly: no. A model without s2D is derived from the full mixed model we have just recently discussed here assuming rho=1 and s2bT=s2bR=s2b. Only then s2D = s2bT + s2bR − 2*rho*sbT*sbR is zero.

You me be right (additionally removing the s2b) if we use an all effects fixed model. Then we have only the errors, distributed under T with s2wT and under R with s2wR.

Regards,

Detlew

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