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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