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
**Plz give a thumb up