Agriculture Reference
In-Depth Information
Table 5.2
Layout of lattice design experiment for fertilizer treatment effect on rice tiller number
BLOCK NUMBER
REPLICATION I
1
1*
147
†
2
152
3
167
4
150
2
5
127
6
155
7
162
8
172
3
9
147
10
100
11
192
12
177
4
13
155
14
195
15
192
16
205
REPLICATION II
5
1
140
5
165
9
182
13
152
6
10
97
2
155
14
192
6
142
7
7
155
15
182
3
192
11
192
8
16
182
8
207
12
232
4
162
REPLICATION III
9
1
155
6
162
11
177
16
152
10
5
182
2
130
15
177
12
165
11
9
137
14
185
3
152
8
152
12
13
185
10
122
7
182
4
192
REPLICATION IV
13
1
220
14
202
7
175
12
205
14
13
205
2
152
11
180
8
187
15
5
165
10
150
3
200
16
160
16
9
155
6
177
15
185
4
172
REPLICATION V
17
1
147
10
112
15
177
8
147
18
9
180
2
205
7
190
16
167
19
13
172
6
212
3
197
12
192
20
5
177
14
220
11
205
4
225
*
Fertilizer treatment number
†
Tiller number/m
2
Table 5.3
Source of variation and degrees of freedom for a balanced lattice design experiment
SOURCE OF VARIATION
DEGREES OF FREEDOM (DF)
RESULTS OF DF
Replication (rep)
(
k
+ 1) -1
(4 + 1) - 1 = 4
Treatments, unadjusted (trt)
k
2
- 1
4
2
- 1 = 15
Block, adjusted (block|rep)
(
k
+ 1)(
k
- 1)
(4 + 1)(4 - 1) = 15
Intrablock error (Residual)
(
k
- 1)(
k
2
- 1)
(4 - 1)(4
2
- 1) = 45
Treatment, adjusted
k
2
- 1
4
2
- 1 = 15
Effective error
(
k
- 1)(
k
2
- 1)
(4 - 1)(4
2
- 1) = 45
Note:
Arrows indicate the ratio of mean squares for calculating F values.
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