1. STRIP PLOT /split block DESIGN AND MULTILOCATIONS

2. SPLIT BLOCK DESIGN (STRIP PLOT)
Utamanya digunakan dalam bidang pertanian.
2 faktor, A dan B, diacak pada main plot.
A diacak dengan mendatar
B diacak dengan vertikal
Misalnya A: penggenangan
B: penyemprotan herbisida
A & B diconfoundedkan a1 a2 a4 a3 a0 b3 b2 b0 b1
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3. Model Linear Tabel Anova SR df SS EMS (fixed treat) Blok A Error 1 B
(r-1)(a-1)
b-1
(r-1)(b-1)
(a-1)(b-1)
(r-1)(a-1)(b-1)
SSR
SSA
SSE1
SSB
SSE2
SSAB
SSE3
Total
rab-1
SStot
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4. Penghitungan semua JK (SS) seperti pada simple split plot
Penghitungan semua JK (SS) seperti pada simple split plot. Kecuali untuk errornya.
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5. Konsentrasi Rep Genangan 1 2 3 4 5 6 I T S R 10,3 9,8 9,0 9,7 10,1 9,6
11,2
11,0
10,8
10,4
10,5
10,6
9,9
9,5
184,1 II
11,8
10,7
11,6
10,9
12,1
11,9
12,3
11,7
9,2
200,3
10,2
9,3
9,4
185,3
91,1
92,3
102,7
97,1
96,2
90,3
569,7
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7. ANOVA SR df SS MS Fhit Ftab Rep. Kon. E1 Gen. E2 K*G E3 2 5 10 4 20
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Fhit
Ftab
Rep.
Kon. E1
Gen. E2
K*G E3 2 5 10 4 20
9,05
12,19
2,81
3,30
0,90
4,45
3,44
4,52
2,44
0,28
1,15
0,23
0,44
0,17
8,71*
5ns
2,85ns
6,43
9,6
4,37
Total 52
36,17
PROC GLM;
CLASS BLOCKS TREATS CROSS;
MODEL WHATEVER = BLOCKS TREATS BLOCKS*TREATS
CROSS CROSS*BLOCKS CROSS*TREATS;
TEST H=BLOCKS TREATS E=BLOCKS*TREATS;
TEST H=CROSS E=CROSS*BLOCKS;
RUN;

8. The number of blocks is the number of replications.
RCB repeated in time
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Field marks:
Multiple measurements of the same experimental subjects are made in time.
Treatments are assigned at random within blocks of adjacent subjects, each treatment once per block.
The number of blocks is the number of replications.

9. 1/14/2019
this example.

10. Layout
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First Block I A B C D E F Block II F A E B D C Block III C B F A D E Second Block I A B C D E F Third Block I A B C D E F

11. Anova RCBD Repeated time
Source of variation
Degrees of freedoma
Sums of squares (SSQ)
Mean square (MS) F
Blocks (B)
b-1
SSQB
SSQB/(b-1)
MSB/MSEm
Treatment (Tr)
t-1
SSQTr1
SSQTr/(t-1)
MSTr/MSEm
Error-main (Em)
(b-1)*(t-1)
SSQEm
SSQEm/((b-1)*(t-1))
Time (Ti)
(s-1)
SSQTi
SSQTi/(s-1)
MSTi/MSE
Time X Blocks (TxB)
(s-1)*(b-1)
SSQTxB
SSQTxB/((s-1)*(b-1))
MSTxB/MSE
Time X Treatments (TxT)
(s-1)*(t-1)
SSQTxT
SSQTxT/((s-1)*(t-1))
MSTxT/MSE
Error (E)
(s-1)*(t-1)*(b-1)
SSQE
SSQE/((s-1)*(t-1)*(b-1))
Total (Tot)
f*s*b-1
SSQTot
awhere t=number of treatments, s=number of times measurements are taken, and b=number of blocks or replications.
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12. Sample SAS GLM statements:
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PROC GLM; CLASS BLOCKS TREAT; MODEL TIME1 TIME2 TIME3 = BLOCKS TREAT; REPEATED TIME /PRINTE; RUN;

13. RCB repeated at more than one location
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Field marks:
Blocks are laid out at more than one location. Treatments are assigned at random to those blocks as below.
Treatments are assigned at random within blocks of adjacent subjects, each treatment once per block.
The number of blocks is the number of replications.
Any treatment can be adjacent to any other treatment, but not to the same treatment within the block.

14. Lay out multilocations
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15. Anova multilocations Source of variation Degrees of freedoma
Sums of squares (SSQ)
Mean square (MS) F
Locations (L)
l-1
SSQL
SSQL/(l-1)
MSL/MSEl
Error for Locations (El)
l*(b-1)
SSQEl
SSQEl/(l*(b-1))
Treatments (Tr)
t-1
SSQTr
SSQTr/(t-1)
MSTr/MSE
Treatments X Locations (TxL)
(t-1)*(l-1)
SSQTxL
SSQTxL/((t-1)*(l-1))
MSTxL/MSE
Error (E)
l*(t-1)*(b-1)
SSQE
SSQE/(l*(t-1)*(b-1))
Total (Tot)
l*t*b-1
SSQTot
awhere l=number of locations, t=number of treatments and b=number of blocks or replications.
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16. SAMPLE SAS GLM STATEMENTS:
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PROC GLM; CLASS LOCS BLOCKS TREATS; MODEL WHATEVER = LOCS LOCS(BLOCKS) TREATS TREATS*LOCS ; TEST H = LOCS E = LOCS(BLOCKS); RUN;