IUK 208 EXPERIMENTAL DESIGN WITH COMPUTER APPLICATIONS [REKABENTUK UJIKAJI DENGAN APLIKASI KOMPUTER]
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1 UNIVERSITI SAINS MALAYSIA Second Semester Exmnton 2009/2010 Acdemc Sesson Aprl/M 2010 IUK 208 EXPERIMENTAL DESIGN WITH COMPUTER APPLICATIONS [REKABENTUK UJIKAJI DENGAN APLIKASI KOMPUTER] Durton: 3 hours Ms: [3 jm] Plese check tht ths exmnton pper conssts of SEVEN pges of prnted mterl before ou begn the exmnton. [Sl pstkn bhw kerts peperksn n mengndung TUJUH muk surt ng bercetk sebelum nd memulkn peperksn n.] Instructons: Answer FOUR (4) questons. You m nswer the questons ether n Bhs Mls or n Englsh. [Arhn: Jwb EMPAT (4) soln. And dbenrkn menjwb soln sm d dlm Bhs Mls tu Bhs Inggers.] In the event of n dscrepnces, the Englsh verson shll be used. [Sekrn terdpt sebrng percngghn pd soln peperksn, vers Bhs Inggers hendklh dgun pk.] 2/-
2 Select the best nswer The center ponts llow the expermenter to () Obtn n estmte of error () Check for ntercton nd for qudrtc effect () Both n nd b (b) A frst-order desgn s orthogonl f the off dgonl of the mtrx ( x x ) re ll () 1 () 2 () 0 (c) The null hpothess H 0 for testng the eqult of tretment s () () () H 0 : (d) The Ltn squre desgn s used to remove () One nusnce source of vrblt () Two nusnce source of vrblt () Three nusnce source of vrblt Comprng ll prs of tretment mens cn be crred out b usng () Fctorl desgn () Lest sgnfcnt dfference (LSD) method or Tuke s test () Anlss of vrnce ANOVA (f) Centrl composte desgn s used to ft () The second-order model () Full cubc model () Specl cubc model 3/-
3 - 3 - (g) The lner blendng n mxture models represents () ether snergstc or ntgonstc blendng () the ternr blendng () the expected response to the pure blend (h) The sttstcl model for completel rndomzed desgn (CRD) s () () () j () An expermentl desgn for fttng the second order-model must hve t lest () Two levels for ech fctor () Three levels for ech fctor () Three levels for ech response 2. Complete the sttement wth the correct nswer Mxture models dffer from the usul polnomls used n response surfce becuse of (b) The prmeter k n mxture models represents the... Blend. (c) (d) (f) The eventul objectve of RSM s to.. the optmum... for the sstem. A good desgn tkes nto consderton..,.., nd.. Incomplete block desgn fll nto two clsses.. nd.. The sttstcl model for rndomzed block desgn s 4/-
4 Desgn n experment for confoundng 3 4 fctorl n nne blocks. Suppose ABC nd AB 2 D 2 effects re chosen to be confounded. 4. A soft drnk bottler s nterested n obtnng more unform fll heghts n the bottles produced b hs mnufcturng process. The fllng mchne theoretcll flls ech bottle to the correct trget heght, but n prctce, there s vrton round the trget, nd the bottler would lke to understnd better the sources of ths vrblt nd eventull reduce t. Three vrbles cn be controlled durng the fllng process, the percentge of crbonton A (ps), the opertng pressure n the fller B (ps), nd the bottles produced per mnute or the lne speed C (b/mn). The dt, devton from the trget fll heght re gven below: Fctors Fll heght Devton A B C Replcte 1 Replcte (b) Conduct n nlss of vrnce. Do n fctor ffect fll heght? Use Interpret the results. Wrte down regresson model tht cn be used to predct fll heght. 5-
5 Plh jwpn terbk. Ttk tengh membolehkn pengujkj untuk () memperoleh nggrn rlt () menemk nterks dn kesn kudrt () kedu-du () dn () (b) Rekbentuk perngkt pertm dlh ortogonl jk bukn pepenjuru ' dlm mtrk ( xx) dlh semun () 1 () 2 () 0 (c) Hpotess nol H 0 untuk menguj persmn ntr mn rwtn lh () () () H 0 : (d) Rekbentuk segempt sm Ltn dgunkn untuk menngkrkn () stu punc ubhn hlngn () du punc ubhn hlngn () tg punc ubhn hlngn (f) Bndngn semu psngn mn rwtn boleh dlkukn dengn menggunkn () rekbentuk fktorn () kedh pembezn sgnfkn terkecl (LCD) tu ujn Tuke () nlss vrns (ANOVA) Rekbentuk kompost pust dgunkn untuk menukn () model perngkt kedu () model kubk penuh () model kubk khusus 6/-
6 - 6 - (g) Percmpurn lner dlm model cmpurn mewkl () sm d percmpurn snergstk tu ntgonstk () percmpurn terner () smbutn ng dngk untuk percmpurn tulen (h) Model sttstk bg rekbentuk rwkn lengkp (CRD) lh () () () j () Stu rekbentuk ujkj bg menukn model perngkt kedu mestlh mempun sekurng-kurngn () du rs bg setp fktor () tg rs bg setp fktor () tg rs bg setp smbutn 2. Lengkpkn perntn berkut dengn jwpn ng betul. Model cmpurn berbez drpd polnoml ng bs dgunkn dlm permukn smbutn dsebbkn oleh... (b) Prmeter k dlm model cmpurn mewkl.. percmpurn. (c) Objektf utm RSM lh untuk optmum untuk.. bg sstem. (d) Rekbentuk ng bgus mempertmbngkn...,..., dn... Rekbentuk blok tk lengkp jtuh ke dlm du kels... dn... (f) Model sttstk untuk rekbentuk blok rwk lh... 7/-
7 Rek stu rekbentuk pemburn fktorn kesn ABC dn AB 2 D 2 dplh untuk dburkn. 4 3 dlm sembln blok. Ktkn 4. Pembotol mnumn rngn bermnt untuk memperoleh ketnggn sn ng lebh sergm dlm botol-botol ng dhslkn oleh proses perklngn. Mesn pengs secr teorn mengs setp botol ke ssrn ketnggn ng tept, tetp secr prktkln, terdpt ubhn pd ssrn, dn pembotol ngn memhm sumber-sumber kebolehubhn n dengn lebh bk dn khrn mengurngknn. Tg pembolehubh ng dpt dkwl sems proses pengsn, pertus krbont A (ps), teknn opers ddlm pengs B (ps), dn botol-botol ng dhslkn per mnt tu grs keljun. Dt, sshn drpd ssrn tngg sn dberkn d bwh: Fktor-fktor Sshn ketnggn sn A B C Replk 1 Replk (b) Lkukn stu nlss vrns. Adkh terdpt fktor ng mempengruh tngg ketnggn? Gun Tfsrkn keputusn. Tulskn model regres ng boleh dgunkn untuk mermlkn tngg sn. - ooo0ooo -
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