Paul
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2011-12-30 16:27
(5283 d 17:28 ago)

Posting: # 7830
Views: 5,620
 

 LSM ratio falling outside 90% CI [General Sta­tis­tics]

Dear All,

Greetings,

A silly doubt :confused:. Could it be possible that the Least Squares Mean Ratio can fall outside the 90% confidence limits. Please advice.

Paul.


Edit: Category changed. [Helmut]
Helmut
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2011-12-30 16:49
(5283 d 17:06 ago)

@ Paul
Posting: # 7831
Views: 4,246
 

 CI = LSM ratio ± something

Dear Paul!

❝ Could it be possible that the Least Squares Mean Ratio can fall outside the 90% confidence limits.


No, since the CI is calculated as (in log scale) \(\mathbf{{\color{Red} \mp}} \;t_{\alpha,df}\sqrt{\frac{2MSE}{(n_1+n_2)}}\).
\(\mathit{\Delta} = \bar{x}_T - \bar{x}_R\), where \(\bar{x}\) are the Least Squares Means (SAS-lingo; textbooks: adjusted means) of Test and Reference, \(t_{\alpha,df}\) is the tabulated value of the t-distribution (at α 0.05 and n1+n2–2 degrees of freedom), n1,2 the numbers of subjects in sequences 1 and 2, and MSE the estimated residual variance from ANOVA.
Note the !

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Paul
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2011-12-30 16:55
(5283 d 17:01 ago)

@ Helmut
Posting: # 7832
Views: 3,893
 

 CI = LSM ratio ± something

Dear Helmut,

Thank you for the quick reply and the explanation too :-)

Paul.
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