Sample size calculation

Let us calculate the sample size needed to achieve Option 4. As the 60-day period is the primary period of interest we shall use the residual mean square 1653 g2 from the analysis of covariance for the 60-day period for the first two batches as the estimate of the residual variance that might occur in the complete experiment. Let the total number of animals to be used per diet be n. From the formula for the t-test shown earlier, namely n=2s2t2/()2, we estimate: n = (2 x 1653 x t2) / (219.9-188.4)2 where means 219.9 (diet A+B) and 188.4 (diet C) shown in the output are substituted for and respectively.

Analysis of variance (adjusted for covariate)
Source

d.f.

s.s.

m.s.

v.r.

F pr.

Batch stratum
Covariate

1

32310

32310

   
Batch.*Units* stratum
Diet60

2

4313

2157

1.30

0.305

Covariate

1

85893

85893

51.95

<.001

Residual

13

21492

1653

4.64

 
Total

17

154607

     
           
Grand mean

198.0

       
Diet60

C

A+B

B

   
 

188.4

219.9

185.7

   
rep.

6

       
d.f.

13

       
s.e.d.

23.92

       

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