40 The following data summerize the results from an independ
40) The following data summerize the results from an independent -measures study camparing three treatment conditions.
Treatment
I II III
4 3 8 N=12
3 1 4 G=48
5 3 6 EX2=238
4 1 6
m=4 m=2 M=6
T=16 T=8 T=24
SS=2 SS=4 SS=8
A) Calculate the sample variance for each of the three samples.
Variance for sample I=?
Variance for sample II=?
Variance for sample III=?
B) Complete the ANOVA table using two decimal places for sums of squares, mean squares, and F,
ANOVA Table
sources of variation Sum of square degree of freedom mean of square F F critical
Between treatments -------------- ---------------- ----------------- -------- ------------
within treatments --------------- ---------------- ------------------
Total ------------ -------------- ----------------
please show the steps. Thank you so much for the help.
Solution
A>
variance for the Data I is Var. = SS/(n-1) = 2/(4-1) = 2/3
variance for the Data II is Var. = SS/(n-1) = 4/(4-1) = 4/3
variance for the Data III is Var. = SS/(n-1) = 8/(4-1) = 8/3

