In: Statistics and Probability
Consider the following table for a single-factor ANOVA.
| Level of Factor | |||
| Replicates | 1 | 2 | 3 | 
| 1 | 1 | 5 | 4 | 
| 2 | 1 | 4 | 4 | 
| 3 | 2 | 3 | 6 | 
(a) Find x1,2.
(b) Find x2,1.
(c) Find C1.
(d) Find x.
(e) Find (Ci )2.
Answer:
Given Table
Level of factors
(Samples=1,2,3)
| Replicates | 1 | 2 | 3 | 
| 1 | 1 | 5 | 4 | 
| 2 | 1 | 4 | 4 | 
| 3 | 2 | 3 | 6 | 
a) Find 
 .
is the value of 
 replicate and 
 sample
  
= 5
The value of 
 is 5
b) Find 
 .
is the value of  
  replicaate
and  
sample
  
= 1
The value of  
is
1
c) Find 
 .
is the sum of values in the first sample
=   
= 1 + 1+ 2
= 4
d) Find x.
is the sum of all values in data cell
=1+5+4+1+4+4+2+3+6
= 30
e) Find 
 .
is the sum of squares of sample sums.
= 


= 356
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