a)
|
|
A |
B |
C |
|
|
|
| count,
ni = |
6 |
6 |
6 |
|
|
|
| mean , x?
i = |
159.000 |
142.00 |
134.00 |
|
|
|
| std.
dev., si = |
18.033 |
10.412 |
12.744 |
|
|
|
| sample
variances, si^2 = |
325.200 |
108.400 |
162.400 |
|
|
|
| total
sum |
954 |
852 |
804 |
|
2610 |
(grand
sum) |
| grand
mean , x?? = |
?ni*x?i/?ni = |
145.00 |
|
|
|
|
|
|
|
|
|
square of deviation of sample mean from grand mean,( x? -
x??)² |
196.000 |
9.000 |
121.000 |
|
|
|
|
|
|
|
|
TOTAL |
|
|
SS(between)= SSB = ?n( x? - x??)² = |
1176.000 |
54.000 |
726.000 |
|
1956 |
|
| SS(within
) = SSW = ?(n-1)s² = |
1626.000 |
542.000 |
812.000 |
|
2980.0000 |
|
sum of squares between treatments = 1956
b)
no. of treatment , k = 3
df between = k-1 = 2
N = ?n = 18
df within = N-k = 15
mean square between treatments , = SSB/k-1 = 1956/2 = 978
c)
sum of squares due to error=2980
d)
mean square due to error MSE = SSE/N-k = 2980/15 = 198.7
e)
|
SS |
df |
MS |
F |
p-value |
|
Treatments |
1956 |
2 |
978.0 |
4.92 |
0.0227 |
|
Error |
2980 |
15 |
198.7 |
|
|
|
Total: |
4936 |
17 |
|
|
|
