STRIP PLOT DESIGN AND MULTILOCATIONS Erlina Ambarwati SPLIT
STRIP PLOT DESIGN AND MULTILOCATIONS Erlina Ambarwati
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 a 1 b 3 b 2 b 0 b 1 a 2 a 4 a 3 a 0
Model Linear Tabel Anova SR df SS Blok A Error 1 B Error 2 A*B Error 3 r-1 a-1 (r-1)(a-1) b-1 (r-1)(b-1) (a-1)(b-1) (r-1)(a-1)(b-1) SSR SSA SSE 1 SSB SSE 2 SSAB SSE 3 Total rab-1 SStot 11/30/2020 EMS (fixed treat) Erlina Ambarwati 3
Penghitungan semua JK (SS) seperti pada simple split plot. Kecuali untuk errornya. 11/30/2020 Erlina Ambarwati 4
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, 1 10, 5 10, 6 9, 8 9, 9 9, 5 11, 0 184, 1 II T S R 11, 8 10, 7 10, 1 10, 3 11, 6 10, 9 12, 1 11, 9 12, 1 12, 3 11, 8 11, 0 11, 8 11, 7 10, 3 10, 6 10, 1 9, 2 200, 3 II T S R 10, 2 9, 5 9, 7 10, 1 10, 7 9, 3 11, 6 10, 8 11, 2 9, 9 9, 6 10, 5 10, 4 10, 3 9, 4 10, 3 185, 3 91, 1 92, 3 102, 7 97, 1 96, 2 90, 3 11/30/2020 Erlina Ambarwati 569, 7 5
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ANOVA SS MS Rep. Kon. E 1 Gen. E 2 K*G E 3 2 5 10 2 4 10 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 Total 52 36, 17 PROC GLM; CLASS BLOCKS TREATS CROSS; MODEL WHATEVER = BLOCKS TREATS BLOCKS*TREATS CROSS*BLOCKS CROSS*TREATS; TEST H=BLOCKS TREATS E=BLOCKS*TREATS; TEST H=CROSS E=CROSS*BLOCKS; RUN; Fhit Ftab 8, 71* 6, 43 5 ns 9, 6 2, 85 ns 4, 37 Erlina Ambarwati df 11/30/2020 SR 7
RCB REPEATED IN TIME 11/30/2020 Field Erlina Ambarwati 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. 8
11/30/2020 this example. Erlina Ambarwati 9
LAYOUT 11/30/2020 Erlina Ambarwati 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 Block II F A E B D C Block III C B F A D E Third Block I A B C D E F Block II F A E B D C Block III C B F A D E 10
ANOVA RCBD REPEATED TIME Source of variation Degrees of freedoma Sums of squares (SSQ) Mean square (MS) F Blocks (B) b-1 SSQB/(b-1) MSB/MSEm Treatment (Tr) t-1 SSQTr/(t-1) MSTr/MSEm (b-1)*(t-1) SSQEm/((b-1)*(t-1)) (s-1) SSQTi/(s-1) MSTi/MSE Time X Blocks (Tx. B) (s-1)*(b-1) SSQTx. B/((s-1)*(b-1)) MSTx. B/MSE Time X Treatments (Tx. T) (s-1)*(t-1) SSQTx. T/((s-1)*(t-1)) MSTx. T/MSE (s-1)*(t-1)*(b-1) SSQE/((s-1)*(t-1)*(b-1)) f*s*b-1 SSQTot Error-main (Em) Time (Ti) Error (E) Total (Tot) awhere t=number of treatments, s=number of times measurements are taken, and b=number of blocks or replications. 11/30/2020 Erlina Ambarwati 11
SAMPLE SAS GLM STATEMENTS: 11/30/2020 Erlina Ambarwati PROC GLM; CLASS BLOCKS TREAT; MODEL TIME 1 TIME 2 TIME 3 = BLOCKS TREAT; REPEATED TIME /PRINTE; RUN; 12
RCB REPEATED AT MORE THAN ONE LOCATION 11/30/2020 Erlina Ambarwati 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. 13
LAY OUT MULTILOCATIONS 11/30/2020 Erlina Ambarwati 14
ANOVA MULTILOCATIONS Source of variation Degrees of freedoma Locations (L) Error for Locations (El) Treatments (Tr) Treatments X Locations (Tx. L) Error (E) Total (Tot) Sums of squares (SSQ) Mean square (MS) F l-1 SSQL/(l-1) MSL/MSEl l*(b-1) SSQEl/(l*(b-1)) t-1 SSQTr/(t-1) MSTr/MSE (t-1)*(l-1) SSQTx. L/((t-1)*(l-1)) MSTx. L/MSE l*(t-1)*(b-1) SSQE/(l*(t-1)*(b-1)) l*t*b-1 SSQTot awhere l=number of locations, t=number of treatments and b=number of blocks or replications. 11/30/2020 Erlina Ambarwati 15
Erlina Ambarwati PROC GLM; CLASS LOCS BLOCKS TREATS; MODEL WHATEVER = LOCS(BLOCKS) TREATS*LOCS ; TEST H = LOCS E = LOCS(BLOCKS); RUN; 11/30/2020 SAMPLE SAS GLM STATEMENTS: 16
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