View
334
Download
0
Category
Preview:
DESCRIPTION
Citation preview
Research Methodology
Lecture 9Farha Hassan
Analysis of Variance (ANOVA)
• Used to compare the means of two or more populations
• It was developed by R. A. Fisher
One Way Anova
Observations A B C
1 5 3 10
2 6 5 13
3 8 2 7
4 1 10 13
5 5 0 17
PROBLEM 1
The following is the sales revenue of three salesmen taken on five occasions. Test at 5% level whether there is any difference between the performances of three salesmen.
Observations A B C
1 5 3 10
2 6 5 13
3 8 2 7
4 1 10 13
5 5 0 17
TOTAL 25 20 60
Reproduce the table with Column Total
SS (Treatment)
Observations
A Ya 2 B Yb 2 C Yc
2
1 5 25 3 9 10 100
2 6 36 5 25 13 169
3 8 64 2 4 7 49
4 1 1 10 100 13 169
5 5 25 0 0 17 289
TOTAL 25 151 20 138 60 776
Reproduce the table with sum of squares
SS (Total)
Find the Correction Factor Y2/N (A + B + C )2 / N
SS (Total) = Ya 2 + Yb 2 + Yc
2 _ Y2/ N
SS (Treatment) = A/ CN + B/ CN + C/ CN - Y2/ N
SS (Error) = SS (Total) - SS (Treatment)
ANOVA TABLE
Sources of Variances
S S D F Mean Computed F Tabulated F
C-1
N-C
N-1
PROBLEM 2
A company has deputed A, B, C and D to four different training programmes. Check whether there is any significant difference between the training programmes of A, B, C, and D at 5% level of significance.
Employees A B C D
1 80 70 65 90
2 90 60 50 89
3 96 55 58 85
4 85 85 55 95
5 70 90 40 80
Recommended