Question

In: Statistics and Probability

Consider the following table for a single-factor ANOVA. Level of Factor Replicates 1 2 3 1...

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.

Solutions

Expert Solution

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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