Third opinion [RSABE / ABEL]

posted by d_labes  – Berlin, Germany, 2013-05-02 14:00 (4004 d 18:00 ago) – Posting: # 10522
Views: 21,741

Hi John,

❝ Detlew, need help! :-)


Here I am! But don't know if I can help anyway. The whole story "Use Proc MIXED code for Partial replicate design" is mysterious to me.

❝ Here is the covariance output from SAS on ln AUCt


Covariance Parameter Estimates

Cov Parm  Subject       Group         Estimate

FA(1,1)   subject                     0.4427

FA(2,1)   subject                     0.4236

FA(2,2)   subject                     0.2481

Residual  subject   formulation Ref   0.05301

Residual  subject   formulation Test  0.02648


❝ Question, what does the residual "formulation Test" represent? Is it the residual attributed to both test and ref


No.
As Helmut already pointed out: an ambiguous attempt of the REML algo to obtain the within-subject variance of the Test formulation. But IMHO the model is over-specified (s2D + s2wT not separable, see below) and therefore there is no guarantee that the value obtained is reasonable.

❝ while residual "formulation ref" is attributed to the ref (since it was given 2x)?


Correct. Unambiguously identifiable.

❝ which one would one use to compute the 90% geometric CI then?


Not clear to me what a 90% geometric CI is :confused:.

The difference µT-µR has as standard error associated with it for the partial replicate design

sd = sqrt((s2D + s2wT + s2wR/2)*sum(1/ni)/seq^2)
where s2D is the variance of the subject-by-formulation interaction, ni are the number of subjects in the sequence groups, seq is the number of sequences.

s2D can be obtained from the G-matrix according to
s2D = g11+g22-2*g12
(see for more details this post).

Since the model seems over-specified try to use a simple model, f.i. neglect s2D which in turn results in a CS variance-covariance structure for the random part. Sometimes this helps.
See also this thread for another even simpler model specification.

BTW: @Helmut, asking the FDA seems a very good idea!

Regards,

Detlew

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