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WhatisMultivariateAnalysisMultivariateanalysisisthebestwaytosummarizeadatatableswithmanyvariablesbycreatingafewnewvariablescontainingmostoftheinformation.Thesenewvariablesarethenusedforproblemsolvinganddisplay,i.e.,classification,relationships,controlcharts,andmore.Thenewvariables,thescores,denotedbyt,arecreatedasweightedlinearcombinationsoftheoriginalvariables.Eachobservationshast-values.PCA,thebasicMVmethod,summarizesonedatatable.Plottingthescores(t’s)givesanoverviewoftheobservations(objects)PLSsummarizessimultaneously2datatables(Xthepredictorvariables)and

(Ytheresponsevariables)inordertodeveloparelationshipbetweenthemPCAandPLSarecalledProjectionmethods5/19/20231SIMCA-PGettingstarted.pptWhatisaProjection?

Reductionofdimensionality,modelinlatentvariablesAlgebraicallySummarizestheinformationintheobservationsasafewnew(latent)variablesGeometricallyTheswarmofpointsinaKdimensionalspace

(K=numberofvariables)isapproximatedbya(hyper)planeandthepointsareprojectedonthatplane.5/19/20232SIMCA-PGettingstarted.pptNotation

Eachobshasvaluesoft(andu)–Eachvariablehasvaluesofp(andwandc)t:theXscores;thenewsummarizingvariables(coordinatesinthehyperplaneofX-space)u:theYscoresinPLS;thenewsummarizingvariables(coordinatesinthehyperplaneofY-space,whenYismultidimensional)p:thePCloadings.ThesearetheweightsthatinPCAcombinetheoriginalvariablesinXtoformthenewvariables,scorest.w*:thePLSweights.ThesearetheweightsthatinPLScombinetheoriginalvariablesinXtoformthenewvariables,scorest.c:theweightsusedtocombinetheY'stoformthescoresu.5/19/20233SIMCA-PGettingstarted.pptNotation

Eachobshasvaluesoft(andu)–Eachvariablehasvaluesofp(andwandc)OneComponentconsistsofonetandonep(PCA)ort,p,w,u,c(PLS).ThetotalnumberofcomponentsisA.Model:Thedataareapproximatedbyaplaneorhyperplane,(themodel)withasmanydimensionsascomponentsextracted.DModX:alsocalledDistancetothemodel,isthedistanceofagivenobservationtothemodelplane.T2:Hotelling’sT2,isacombinationofallthescores(t)ofallAcomponents.T2measureshowfarawayanobservationisfromthecenterofaPCorPLSmodel.5/19/20234SIMCA-PGettingstarted.pptNotationR2X:ThefractionofthevariationoftheXvariablesexplainedbythemodel.R2Y:ThefractionofthevariationoftheYvariablesexplainedbythemodel.Q2X:ThefractionofthevariationoftheXvariablespredictedbythemodel.Q2Y:ThefractionofthevariationoftheYvariablespredictedbythemodel.5/19/20235SIMCA-PGettingstarted.pptMVA–SIMCARoadMap

MethodsavailablePreprocessing;trimmingandWinsorizing(takeawayextremes)PrincipalComponentsAnalysis(PCA;overviewofdata)ProjectiontoLatentStructures(PLS;relationshipsXY)SimcaclassificationPLS-discriminantanalysis(classification)HierarchicalPCAandPLSPredictionsandclassificationofnewdatausinganymodel5/19/20236SIMCA-PGettingstarted.pptMVA–SIMCARoadMap

Dataset=alldata;Workset=workingcopyofdataWorkmainmenusfromlefttorightandpop-upmenusfromuptodownPlot/Listallowsyoutoplotorlistanythingnon-standard,notfoundunderAnalysis5/19/20237SIMCA-PGettingstarted.pptStepsinusingSIMCA-PusingthewizardStartanewprojectandimportthedatasetUsetheworksetwizardtoguidethroughbuildingtheworksetandfittingthemodelGeneratethereportwritertowalkthroughthemodelresultsandinterpretationWhendisplayingSimca-PplotsalwaysusetheAnalysisadvisertoguideyou.5/19/20238SIMCA-PGettingstarted.pptWorksetwizardonON5/19/20239SIMCA-PGettingstarted.pptWorksetwizard5/19/202310SIMCA-PGettingstarted.pptAutotransformvariables

Totransformallvariablesifanyneeded,markthecheckbox5/19/202311SIMCA-PGettingstarted.pptAutomaticcreationofclassesforclassificationordiscrimination5/19/202312SIMCA-PGettingstarted.pptSelectionandFitofmodel5/19/202313SIMCA-PGettingstarted.pptReportwriter

Walksyouthroughthemodelresultswithinterpretation:File|GenerateReport5/19/202314SIMCA-PGettingstarted.pptStepsinUsingSIMCA-P,AdvancedModeStartanewprojectandimportthedatasetExploreandpreprocessthedataMakeworkingcopyofselecteddata(workset)formodelbuildingSpecifymodeltypeandfitittotheworksetReviewfit(plots,diagnostics,coefficients,etc.)PredictionsGenerateReport5/19/202315SIMCA-PGettingstarted.ppt1a騙.返Fi狠le獅N聰ewSt旱ar鋤ti據(jù)ng閑a與n蛙ew任p合ro愛je抄ctSe搜le報ct內(nèi)t雙he蜜d安at戒a趙fi紅le惡c個on菌ta處in鋸in識g棉th搭e佩ra席w阻da共ta路o娘f艇th載e面pr嗚oj伴ec方tdi茂re尤ct努or漲y,郵f蠶il愈e私ty被pe畫(貌XL摧S,煩D梁IF早,義TX纖T,鼠…供..浸),海f科il稿e趙na慕meA均Wi辰za另rd丟o桌pe喝ns綠(晌se似e凱ne正xt可p凡ag奧e)紗a輝ll納ow毀in沾g循yo透u汗to曉s個pe旬ci辭fy承(暴op季ti雪on既al及l(fā)y目)茶th嫂e猴ro葛w農(nóng)co久nt寄ai擺ni爽ng繡t垂he貓V蓄ar爭ia證bl濫e帆na冒me增s,宵a仍nd亞(少op座ti北on燃al崇ly往)銹th村e面co筑lu憶mn翼s絨wi薯th哈t尸heOb覺s.薄Nu摔mb斧er全s亞an循d巷Na香me豬sHe垂re判(豈Co航mm臂an青ds賣)胸yo首u鏟ca剖n狹al徹so錄d內(nèi)o租ad黑di腎ti憶on勸al略t紡hi脅ng基s莊su洗ch租a澇str礦an遙sp緞os述in猴g瓦th飲e莫in匠pu繡t劣da特ta盡m觸at捕ri愚xUs興e絹si趨mp賀le掙m盛od匪e罩wi檔th中w基or傷ks盟et瞎w填iz悠ar頁dAt汗t下he脹l坑as逼t鴨Wi嚷za娘rd譯p紐奉ag幅e,償y顆ou繩c棋an靠(膊op吹ti權(quán)on匹al庭ly餐)蝕sp女ec丑if煩y僅an表ot醒he領(lǐng)r煌na羅me爆a活nd豬d激ir扶ec補to案ry慌f搏or魚t繩he楚p或ro冬je膚ct氏.A衛(wèi)ma惹p而of瓣t另he于m愧is萌si紅ng暖d統(tǒng)at螺a魄is貸s跟ho侵wnTh回e僚Wi濤za做rd燈f蛋in梢is捏he府s貴an算d侵pu怨ts恢y貿(mào)ou符i揚n蹦th畜e燃Si疼mc靜a-傾wi賊nd橋owA左st舌ar每ti繭ng聾w注or令k食se塘t欺(M端1,勁a湖ll多d箱at涌a,久a叛ll獅X徹-s必,驚UV堡-觸sc申al義ed桿)縣is柿r涼ea聞dy5/道17慨/2毯02女316SI沉MC謊A-漂P輩Ge危tt辰in導(dǎo)g懷st危ar愚te糠d.繩pp躲t1b火.態(tài)Th姻e攀se茂co該nd宋s殃cr遮ee趴n艇of呈t國he袖W徐iz棒ar思d5/夠17洽/2妙02旅317SI躲MC驢A-櫻P艙Ge礦tt言in桌g量st萬ar濫te頂d.烈pp命t2.膀L波oo逮ki吉ng炭a澇t撤th圓e均da公taWi公th真t許he霸d堪at融a作se駱t繪ta終bl抄e落op瘡en而(遼Da萌ta肝s室et征e舍di倆t)摸:Qu賭ic怒k那In秒fo向(田bo延th才v剖ar盯a練ndob呢swi墨nd蠢ow邀s醒ca嚇n土be釋o撓pe若n)va喊ri藍ab距l(xiāng)e案sob炎se配rv節(jié)at栽io且nsMo倦vi鞭ng臂t沫h(huán)e魂c氧ur拔so蜂r敗in擴t虜he剛d壤at擔a川se質(zhì)t巨ta杠bl療e偶up晉a毯nd挪d早ow崖n,廣o科r愿si廚de押wi變se區(qū),累ch境an查ge震s怖th汗e扮di囑sp績la刻ye活d瓜va美ri刃ab辣le噸a見nd街o拉bs秘er跳va妨ti于onIn蔬t名he牛q爺ui壩ck旅i刻nf尚o衰op貴ti顧on暖s硬yo蹦u該ca矛n卻sp楚ec濱if出y餅wh亦at烈y引ou樂w加an護t槍to秒l笑oo默k摸at并(型hi治st不og覺ra堆ms朵,述au柏to朽-c膛or叮re寇la嫩ti漸on陽s,銳…鋸),津a丈s鉛we門ll渾a裁s荷wh辨ic平h蘭it刷em幻玉s蓬sh馬ou皇ld粘b菌e腎th荷e變ba換si宮s萄fo珠r海th肥e擾pl怨ot附s5/念17天/2嬸02糟318SI口MC飛A-薪P鎖Ge蛇tt銜in葡g里st鬼ar襪te都d.逆pp毒tVi割ew慈v鑰ar寸ia邀bl嘆es坡o脆r挨Ob笨se圓rv箱at倉io加ns雪,姨Tr舌im悲,蠅et清c.Qu率ic睛k鍬In險fo5/康17維/2碌02林319SI個MC容A-蹤蝶P悲Ge飛tt仗in彼g辰st踐ar品te等d.擁pp駐t3.早P要re區(qū)pa執(zhí)re政a御w敲or勉k星co歸py振:渴Th鐮e檢Wo陸rk罷se繞tSi綱mp辣le泛M壩od昌e嘩wi腿th吧g曾ui慮da窮nc叨e,薦o桐r演Ad嶄va傘nc瘦ed汪M道od斃eIn著W愿or喚ks稈et枕,畫yo理u都pr奪ep割ar蛛e龜a奴wo潮rk觸in稿g殿co只py芝o棵f沸th替e扎pa春rt干o醋f搞th壤e腥da稅ta初y憂ou球w摘il催l虹an親al多yz伙e,星i困.e汗.,岡u錄se致a攔s謹th揭e符ba逼si泉s位of能y哀ou府r蹄mo煎de企l.He付re穩(wěn)y光ou家s蹄pe得ci刃fy腳t密ra蜜ns事fo郊rm膨at屠io客n,菌s栗ca州li軟ng談,沙an無d發(fā)ro赴l(fā)e斃s伐of蠅v雀ar嶺ia污bl努es歷(聞X牽or何Y富o奸r凱ex大cl挪ud芽ed盞).Al宇so燒,纏yo紅u小se加le授ct地t境he拆o綠bs其er叼va幻玉ti組on六s道(y倘ou某r估“t戰(zhàn)ra叼in夢in葉g舒se菠t”都).Yo規(guī)u尸ca仔n莖st伏ar節(jié)t次wi度th攏t劉he異p修r(nóng)e顫vi希ou截s鐵wo缺rk滾se損t到(W路or將ks癢et乎/禍N匆ew像a詞s瞇mo奪de過l梨xx勒)如an追d越th金en罪m皺od鮮if禾y標it款,府e.肺g.獸,滑ex溉cl仇ud志in插g泳ob僻se售rv底at遺io辛ns籍.Wh謝at陜ev桶er腥y戶ou蔥d后o翼in帽W歸or坊ks衡et咐d鉤oe者s耽NO駕T狹to童uc浙h襖th斥e望ra揭w臭da蓮taNo放te嘴t臟ha辯t爭ou膛tl托ie枕rs雀a達re魔j寫us席t替sp顧ec峰if財ie字d是as驢“盼no肝t希in督cl提ud錯ed暈”耳in郊t饅he獎n傷ex籮t彩wo鋼rk贊se搖t食(t沾he汗“吊po待li掌sh筆ed陳”志da煉ta閱).瘋O嗎ut紹li商er喊s向ar瓣e再NE啄VE隱R擾re證mo販ve壤d慢fr揭om倡t憤he齊r靜aw療d值at滲a淘se棋t.5/脂17城/2擠02娃320SI街MC倆A-文P禿Ge濟tt票in追g召st鄙ar初te蟲d.肉pp汁tWo雁rk顫se臉t:叨t劍wo慈M邀od沉es靜,屑Si染mp望le鍵a咱nd番A碌dv狗an袋ce拉d5/消17覺/2尼02損321SI波MC叢A-朵P豎Ge澆tt資in折g躁st移ar扶te棵d.逮pp沿t4.贊A腿na輩ly乞si福sFi吵t淘th純e器Mo糞de區(qū)l咬to念t鞭he幟W溜or統(tǒng)ks紛et量D推at看aEi勉th遺er羞m大en蛙u紫“A馬na枝ly扛si吵s盤/羽Au屋to錄fi院t”貼o晚r釀Fa仆st要B愈ut馳to杰nA阻mo厚de漢l捧wi汪th客a新pp艱ro值pr跪ia文te數(shù)n螺um欲be悄r霧of尼c讀om仍po璃ne逢nt團s膀is拾f撕ou也ndIf微n牌ot府hi輝ng災(zāi)h廚ap尤pe杯ns芬,忠ge尋t梅th哥e估tw幅o雀fi卷rs凈t殘co食mp夢on扁en宇ts烏(砌al微so魯m繁en極u漠or緣瑞f闖as輔t姿bu綿tt夕on乏)A欺ta提bl配e境ap漫pe棄ar誕s命sh輛ow沾in齒g獵th挺e虹mo群de壘l,膛c鮮om貢po洞ne佩nt跑b殃y倚co便mp商on掃en中t.Mo架re頑c扭om網(wǎng)po軟ne離nt碗s照ca參n柏be僵a謙dd進ed抱(故me傳nu貼o脂r察fa偽st污b單ut煎to裁n)Do巷ub喘le令c菠li宅ck元o遺n堪a限mo抵de統(tǒng)l格to邀s噴pe蠢ci捆fy飛a蜻t枯it掛le5/闖17境/2奮02餐322SI今MC更A-泡P途Ge辰tt脖in綁g悶st寄ar萄te墻d.助pp碰t5.賺P莊lo紗t優(yōu)re淘su浪lt繪sAn橡al渣ys嚼is襪/赴m爭en撇u陽(o鍬r妄fa班st城b已ut孟to基ns魯)Su樹mm衰ar數(shù)y絕/移X/仙Y-躍Ov估er紋vi社ew蒸s刪ho鴉ws衫R2an齡d燥Q2fo食r族al悲l鉤va編r.野sSc佳or五es組–尺s漆ca幻玉tt峽er柔p拜lo衰t,藏t塘1-磨t2轟a瞎nd紅t像1-迎u1洪&側(cè)t居2-凳u2擠(賣PL皇S)Lo籃ad譜in伏gs頂–器s法ca挖tt優(yōu)er窯p壇lo里t富(p柱1-羅p2毀f掀ro炮P周CA妨,引wc熊1-認wc棟2睜fo潛r凱PL毒S)Di責st俗an永ce匪t株o姐Mo池de先l–位li之ne走p且lo投tCo堂nt稀ri扒bu子ti炭on朽p毯lo演ts僵t狀o膨in西te猾rp吹re拌t拆in怕te顛re軋st望in滋g帽ob墳se哲rv去at丹io尺ns排,絕e.干g.匙o坦ut籌li挑er乓s,組j孫um籍ps豬,橫…Fo估r滋al晨l風pl訴ot罩s,棄t浙he愉r回ig林ht磚m混ou算se疲b宴ut沖to旅n,饅p勞ro桃pe慈rt句ie璃s索al獄lo少ws磨c喚ho姥ic謊e廢of榨p蘋lo渴t引ma居rk釣er撕s,縣a欠nd乓m華or斬eTh盟e醋gr紋ap暢hi續(xù)ca刃l(wèi)籮to鄙ol承b畏ox唐a遭ll升ow射s警fu協(xié)rt揉he繭r蠅mo曾di柔fi摩ca程ti雷on船s5/壇17炊/2宵02位323SI饞MC臘A-度P超Ge醉tt海in碧g戚st幟ar追te罩d.味pp彼t6a帝.懂Ou鞋tl鎖ie襖rs碎w渠er將e亮se瀉en根i菜n渾th羅e注sc俯or諒e循pl變ot(w準el券l禁ou劈燕ts醬id謊e部th矛e嗎Ho占te雄ll萌in擇g影el擺li席ps浮e)St刮ar釣t頓an吧ot韻he叼r堵wo應(yīng)rk慰se涼t(e融it鮮he方r濃fr飼om致W務(wù)or硬ks警et羞/厲N嚷ew份a躍s復(fù)mo跳de煎l趙xx文,倒or妙u倍si麗ng狡t待he虛g劈燕ra崖ph暗ic呈al抄t第oo勸l-將bo嚼x患to化r鋸em撓ov割e尿ou喊tl浪ie振rs定f政ro說m基th任e窗sc奴or旱e現(xiàn)pl虧ot柿)No柏te橫t跨ha栗t巧ou超tl構(gòu)ie仿rs崗s爆ho油ul倍d雙NO煉T少be結(jié)d財el阿et沖ed支f巨r(nóng)o廊m尿th征e寧da但ta霞b勾y罩Ed走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