Reference no: EM132601292
QUESTION ONE
a) Explain the following terminologies as used in ANOVA
i) Treatment
ii) Units/experimental units/plot/cell
iii) Levels
iv) Block
b) Discuss the following principles of experimental design
i) Randomization
ii) Replication
iii) Local control
QUESTION TWO
Given the data below
T1
|
T2
|
T3
|
T4
|
8
|
12
|
18
|
13
|
10
|
11
|
12
|
9
|
12
|
9
|
16
|
12
|
8
|
14
|
6
|
16
|
7
|
4
|
8
|
15
|
Analyze the data at a) 5% b) 1% levels of significance and draw statistical inferences
QUESTION THREE
TREATMENT
1 2 3 4
1 12 20 13 11
2 2 14 7 5
3 8 17 13 10
4 1 12 8 3
5 7 17 14 6
BLOCK
Analyze the data at 5% and 1% levels of significance and draw statistical conclusions.
QUESTION FOUR
Consider the following experiments for four tests of fertilizers A, B, C and D
TREATMENT
A B C D
1 10 11 8 12
2 14 11 12 15
3 11 14 10 16
4 14 7 12 16
BLOCK
i) Formulate the hypothesis to be tested
ii) Analyze the experiment completely at 5% level of significance.
QUESTION FIVE
a) State the assumptions of the latin square design
b) Grain yields of four maize high breeds .A, B , C and D are given the experiments below
COLUMNS
1 2 3 4
1 C(12) D(11) A(13) B(8)
2 B(14) C(12) D(11) A(13)
3 A(17) B(14) C(10) D(9)
4 D(13) A(14) B(13) C(9)
ROWS
At 5% and 1% significance levels analyze the experiment completely and draw statistical inferences.
QUESTION SIX
Given the following data analyze the experiment completely at 5% and 1% and draw statistical conclusions
T1
|
T2
|
T3
|
T4
|
T5
|
T6
|
7
|
10
|
12
|
10
|
7
|
9
|
9
|
13
|
13
|
12
|
8
|
10
|
10
|
15
|
15
|
13
|
10
|
11
|
12
|
15
|
17
|
15
|
10
|
12
|
12
|
17
|
18
|
15
|
10
|
13
|