1. STRIP PLOT DESIGN AND MULTILOCATIONS
Erlina Ambarwati

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

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
4/13/2017
Erlina Ambarwati

4. Penghitungan semua JK (SS) seperti pada simple split plot
Penghitungan semua JK (SS) seperti pada simple split plot. Kecuali untuk errornya.
4/13/2017
Erlina Ambarwati

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
4/13/2017
Erlina Ambarwati

6. 4/13/2017
Erlina Ambarwati

7. ANOVA SR df SS MS Fhit Ftab Rep. Kon. E1 Gen. E2 K*G E3 2 5 10 4 20
4/13/2017 SR df SS MS
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
Erlina Ambarwati
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
4/13/2017
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.
Erlina Ambarwati

9. 4/13/2017
this example.
Erlina Ambarwati

10. Layout
4/13/2017
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
Erlina Ambarwati

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.
4/13/2017
Erlina Ambarwati

12. Sample SAS GLM statements:
4/13/2017
PROC GLM; CLASS BLOCKS TREAT; MODEL TIME1 TIME2 TIME3 = BLOCKS TREAT; REPEATED TIME /PRINTE; RUN;
Erlina Ambarwati

13. RCB repeated at more than one location
4/13/2017
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.
Erlina Ambarwati

14. Lay out multilocations
4/13/2017
Erlina Ambarwati

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.
4/13/2017
Erlina Ambarwati

16. SAMPLE SAS GLM STATEMENTS:
4/13/2017
PROC GLM; CLASS LOCS BLOCKS TREATS; MODEL WHATEVER = LOCS LOCS(BLOCKS) TREATS TREATS*LOCS ; TEST H = LOCS E = LOCS(BLOCKS); RUN;
Erlina Ambarwati