RANCANGAN STRIP PLOT MODEL TETAP. Staf Jurusan Matematika FMIPA UNDIP

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1 RANCANGAN STRIP PLOT MODEL TETAP Trstut Wurydr,uc Wldr, Noor Affh Stf Jurus Mtemt FMIPA UNDIP Alum Jurus Mtemt FMIPA UNDIP Astrct The expermet volve the study of the effects of two or more fctors c e used the fctorl desgs. The fctorl desgs hve severl dvtges. They re more effcet th oe fctor t tme experts. Furthermore, fctorl desgs s ecessry whe tercto my e preset to vod msledg coclutos. I the Strp Plot desg s fctorl two fctors whch rdom fctors re t sed o m plot or the whole plot ut the mportt s t s tercto. There re three error the Strp plot. They re error cused y fctor A, error cused y fctor B d error y A d B tercto. Keywords: Fctorl, Strp Plot, Itercto. Pedhulu Perco ftorl dlm Rcg Ac Legp (RAL), Rcg Ac Kelompo (RAK) mupu Rcg Buur Sgr Lt (RBSL) dtuu utu meelt pegruh utm d ters deg dert etelt yg sm. Kdg-dg sutu perco du ftor dg etept utu meguur ters tr du ftor dhrp leh tgg drpd meguur pegruh utm ftor mpu dr du ftor yg dgu [4]. Dlm stus sepert rcg yg sesu dgu dlh rcg strp plot. Rcg Strp Plot mrp deg rcg splt plot. Pd Splt Plot stu ftor dlet pd pet utm d ftor ly dlet pd pet tetp pd Strp Plot edu ftor merup pet utm []. Model yg dgu dlh model tetp, rdom d cmpur. Dlm tuls hy dhs utu Strp Plot model tetp. Pemhs melput model ler, sums d cr pemuty, hpotess yg dpt dml, tel Aov d u luty. Utu memperels pemhsy der cotoh peerp d peyeles deg pet progrm SAS 6. d MINITAB 4.. Desrps Teorts Rcg Strp Plot merup rcg ftorl deg pemers yg leh telt dutm pd tersy ddg ftor utmy. Dlm Strp Plot td d pemg pet utm d pet, msg-msg g sm deg pet utm tu sedr. I ermpls d esetgup tertetu tr edu ftor terseut sehgg yg stu mempuy emug yg sm utu dseut seg perlu pet utm []. Msly sutu peelt meggu ftorl du ftor d dutm etelt pd tersy ddg ftor utmy. Ftor A deg trf d ftor B deg trf d ut percoy delompo med elompo, m model lery dlh µ + K + α + δ + β + ρ + ( αβ ) + ε,,,;,,,;,,, deg: 35

2 Med Sttst, Vol., No., Ju 008: 35-4 : pegmt pd el e-, ftor A trf e-, ftor B trf e- µ : rt-rt eseluruh K : pegruh elompo e α : pegruh ftor A trf e- δ : ompoe glt oleh ftor A trf e- d el e- (glt ) β : pegruh ftor B trf e- ρ : ompoe glt oleh ftor B trf e- d el e- (glt ) (αβ ) : pegruh ters ftor A trf e- d ftor B trf e- : ompoe glt oleh ftor A trf e-, ftor B trf e- d el e- Asums yg hrus dpeuh dlm model tetp dlh: α 0 ; β 0 ; K 0 (αβ ) (αβ ), (αβ ) 0, 0 δ ~ N(0, σ δ ) ρ ~ N(0, σ ρ ) ε ~ N(0, σ ) Utu estms prmetery dgu metode udrt terecl. Utu pegu sums ormlts dgu u Kolmogorov Smrof d u homogets vrs dgu u Brtlett. Pegc perluy utu Rcg Strp Plot dlh seg erut: - Plhlh elompo ut perco secr c - Tempt trf-trf ftor A secr c pd setp elompo megut pol lur - Tempt trf-trf ftor B secr c pd setp elompo megut pol rs. [] Msly sutu perco utu megethu pegruh ftor ytu Jes pupu ( P0, P, P) d Peyr (E0,E) terhdp produs rumput utu p ter d dulg 3 l. M pegcy seg erut: Kel Kel Kel 3 E0 E E0 E E0 E P P P P P P P3 P3 P3 Hpotess yg s dml dlh seg erut:. H0 : α α... α 0 (td d pegruh ftor A terhdp respo) H : plg sedt d stu deg α 0 (d pegruh ftor A terhdp respo). H β β... β 0 (td d pegruh ftor B terhdp respo) 0 : H : plg sedt d stu deg β 0 (d pegruh ftor B terhdp respo) 36

3 Rcg Strp Plot Model Tetp (Trstut Wurydr) 3. H0 : ( αβ ) ( αβ )... ( αβ ) 0 (td d pegruh ters ftor A d ftor B terhdp respo) H : plg sedt d sepsg (,) deg ( αβ ) 0 (d pegruh ftor A d ftor B terhdp respo) Tel : Ly Out dt utu Rcg Strp Plot Ftor A Ftor B Kelompo Totl N

4 Med Sttst, Vol., No., Ju 008: 35-4 Pd Rcg Strp Plot d 3 es glt ytu glt oleh ftor pertm (glt ) glt oleh ftor edu (glt ) d glt oleh ters ftor pertm d edu (glt [4]. Pd Rcg Strp Plot erlu: JKT JKK + JKA + JKG( ) + JKB + JKG( ) + JKAB + JKG( Deg JKT Jumlh Kudrt Totl JKK Jumlh Kudrt Kelompo JKA Jumlh Kudrt ftor A JKG()Jumlh Kudrt Glt JKB Jumlh Kudrt ftor B JKG()Jumlh Kudrt Glt JKAB Jumlh Kudrt ters ftor A d B JKG( Jumlh Kudrt Glt c Rumus-rumus utu meghtug Jumlh Kudrt d Kudrt Tegh... FK,,,,.. JKT JKK JKA.., FK FK ; FK ;., JKG( ) FK JKK JKA ; JKB.., FK ;., JKG( ) FK JKB JKK ;, JKK KTK JKA KTA JKG( ) KTG ( ) ( )( ) JKB KTB ( ) JKG( ) KTG ( ) ( )( )., JKAB JKAB FK JKA JKB ; KTAB ( )( ) JKG( JKT JKK JKA JKG( ) JKB JKG( ) JKAB JKG( KTG ( ( )( )( ) 38

5 Rcg Strp Plot Model Tetp (Trstut Wurydr) Dperoleh tel ANOVA seg erut: Tel : Aov utu Rcg Strp Plot model Tetp Sumer Dert Jumlh Kudrt F htug F tel Kergm Bes Kudrt Tegh Kelompo (-) JKK KTK A (-) JKA KTA KTA F ( );( )( ) ( α) KTG() Glt () (-)(-) JKG() KTG() B (-) JKB KTB Glt () (-)(-) JKG() KTG() AB (-)(-) JKAB KTAB Glt ( (-)(-)(-) JKG( KTG( Totl - JKT KTB F ( );( )( ) ( α) KTG() KTAB F ( );( );( )( )( ) ( α) KTG( Krter uy dlh Ho dtol F htug > F tel yg ersesu. J Ho dtol m dlu u luty slh stuy deg metode Duc, deg leh dhulu meghtug stdrt uy Nl tts Ducy R r S / p α ; p; dglt d r ε ; p; dglt dcr dr tel Duc deg p,3,, deg dlh yy trf dr ftor yg ddg Tel 3: Stdrt u utu Rcg Strp Plot model Tetp Perdg tr Duur seg Glt u ( S ). Du l tegh A. Du Nl Tegh B 3. Du l tegh B pd trf ftor A yg sm 4. Du l tegh A. Pd trf B yg sm. Pd trf B yg ered KTG ( ) KTG ( ) d ( ) KTG( + KTG( ) ( ) KTG( + KTG( ) 3. Pemhs Utu memperels pemhs tetg Rcg Strp Plot, dwh dml cotoh terpy dr dt lpg. Ig dpelr pegruh ftor peyr d es pupu terhdp produs oot erg sees rumput utu p ter. Dr du mcm peyr (Eo, E) d tg es pupu (P0, P, P) dmt produs oot ergy. Dggp perco leh memetg ftor ters ddg ftor utmy, d hsl pegmty seg erut: 39

6 Med Sttst, Vol., No., Ju 008: 35-4 Jes Peyr Kelompo Pupu 3 P0 E E P E E P E E Sumer dt: Teguh Wowo, Mhssw Mgster Ilmu Ter Udp Deg meggu progrm Mt 4.0, sums ormlts glt, glt, d glt c dpeuh deg l Kolmogorov Smrov msg-msg 0.85; 0.; 0.05 d P vlue msg-msg 0.039; 0.0; 0.5. Sedg homogets vr glt, glt, glt c ug dpeuh mellu u Brlett deg l sttst u msg-msg 4.85;.0; 8.6 d p vlue msg-msg 0.83;.0; 0.30 Deg meggu pet progrm SAS 6. dperoleh: Geerl Ler Models Procedure Depedet Vrle: RESPON Sum of Me Source DF Squres Squre F Vlue Pr > F Model Glt c Corrected Totl R-Squre C.V. Root MSE RESPON Me Source DF Type III SS Me Squre F Vlue Pr > F KEL P Glt E Glt P*E Tests of Hypotheses usg the Type III MS for Glt s error term Source DF Type III SS Me Squre F Vlue Pr > F P Tests of Hypotheses usg the Type III MS for Glt s error term Source DF Type III SS Me Squre F Vlue Pr > F E Berdsr output dts dethu hw % ergm dr produs oot erg sees rumput utu p ter mmpu dels oleh ftor peyr d es pupu deg oefse ergm seesr J dml α5% dpt dsmpul hw :. Ad pegruh peyr terhdp produs oot erg sees rumput, deg F htug d P vlue Ad pegruh es pupu terhdp produs oot erg sees rumput, deg F htug.7 d P vlue Td d pegruh ters tr peyr d es pupu terhdp produs oot erg deg F htug.84 d P vlue

7 Rcg Strp Plot Model Tetp (Trstut Wurydr) Geerl Ler Models Procedure Duc's Multple Rge Test for vrle: RESPON NOTE: Ths test cotrols the type I comprsowse error rte, ot the expermetwse error rte Alph 0.05 df 6 MSE Numer of Mes 3 4 Crtcl Rge Mes wth the sme letter re ot sgfctly dfferet. Duc Groupg Me N P A A A A A B Geerl Ler Models Procedure Duc's Multple Rge Test for vrle: RESPON NOTE: Ths test cotrols the type I comprsowse error rte, ot the expermetwse error rte Alph 0.05 df MSE Numer of Mes Crtcl Rge 87.3 Mes wth the sme letter re ot sgfctly dfferet. Duc Groupg Me N E A B Berdsr u wlyh Duc, deg es pupu P0 memer rtrt produs oot erg sees rumput plg redh d ered deg yg l. Sedg utu es pupu P, rt-rt produs oot erg sees rumput tertgg d td ered deg P d P3. Utu ftor peyr E memer rt-rt produs oot erg sees rumput leh tgg ddg E. 4. Kesmpul Dr ur d ts dpt dsmpul hw Rcg Strp Plot dgu utu perco du ftor dm edu ftor dlet seg pet utm re yg dpetg ters edu ftory. J dg ftor pertm erpegruh secr yt terhdp respo, m dlu u lut deg glt yg dgu dlh glt. J ftor edu erpegruh secr yt terhdp respo, m dlu u lut deg glt yg dgu dlh glt. J ters tr ftor pertm d edu erpegruh secr yt terhdp respo, m dlu u lut deg glt yg dgu dlh glt c. Dr cotoh sus, edu ftor erpegruh terhdp respo dem ug tersy deg mellu u wlyh Duc. Asums Normlts d Homogets Vrs utu msg-msg glt terpeuh. DAFTAR PUSTAKA. Asor, A. d Sumerty, M., Percg Perco deg pls SAS d Mt, IPB PRESS. Bogor, Gspersz, V., Metode Percg Perco. C.V Armco, Jrt, Gomez, K.A. d Gomez A.A. Procedures for Agrculturl Reserch. Joh Wley & Sos, Ic.,

8 Med Sttst, Vol., No., Ju 008: Motgomery, D.C. Desg d Alyss of Expermets. Ffth Edto. Joh Wley & Sos, Ic., New or, Steel,R.G.D., Torre, J.H. d Dcey, D.A., Prcples d Procedures of Sttstcs Bometrcl Approch, Thrd Edto. McGrw-Hll, Ic., Sgpore, Sugd, E. d Sugrto, Rcg Perco. Ad Offset, ogyrt,