Catalogue no XIE. Survey Methodology. June 2005

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1 Caalogu o -00-X Suv Mhodolog u 005

2 How o oba o foao Scfc qu abou h oduc ad lad ac o vc hould b dcd o: Bu Suv Mhod Dvo Sac Caada Oawa Oao A 0T6 lho: Fo foao o h wd ag of daa avalabl fo Sac Caada ou ca coac u b callg o of ou oll-f ub You ca alo coac u b -al o b vg ou wb aoal qu l aoal lcoucao dvc fo h hag ad Doo Svc Poga qu Fa l fo Doo Svc Poga al qu foa@acaca Wb wwwacaca foao o acc h oduc Th oduc caalogu o -00-X avalabl fo f To oba a gl u v ou wb a wwwacaca ad lc Ou Poduc ad Svc Sadad of vc o h ublc Sac Caada cod o vg cl a o labl ad couou a ad h offcal laguag of h choc To h d h Agc ha dvlod adad of vc ha lo obv vg cl To oba a co of h vc adad la coac Sac Caada oll f a Th vc adad a alo ublhd o wwwacaca ud Abou Sac Caada > Povdg vc o Caada

3 Sac Caada Bu Suv Mhod Dvo Suv Mhodolog u 005 Publhd b auho of h M obl fo Sac Caada M of du 006 All gh vd Th co of h lcoc ublcao a b oducd whol o a ad b a a whou fuh o fo Sac Caada ubc o h followg codo: ha b do oll fo h uo of va ud ach cc vw o wa ua ad/o fo o-cocal uo; ad ha Sac Caada b full acowldgd a follow: Souc o Adad fo f aoa: Sac Caada a of ublcao a of oduc caalogu ub volu ad u ub fc od ad ag Ohw o a of h ublcao a b oducd od a val o ad a fo b a a lcoc chacal o hooco o fo a uo whou o w o of Lcg Svc Cl Svc Dvo Sac Caada Oawa Oao Caada A 0T6 Ma 006 Caalogu o -00-X SS Fquc: -aual Oawa C ublcao dobl faça u dad o -00-XF au caalogu o of acao Caada ow h ucc of acal o a log-adg ah bw Sac Caada h cz of Caada bu gov ad oh uo Accua ad l acal foao could o b oducd whou h coud cooao ad goodwll

4 4 Va d Bal ad R: Aal of bddd Col Salg Dg Vol 3 o 3-40 Sac Caada Caalogu o -00 Aal of bddd Col Salg Dg a A va d Bal ad Robb H R Abac A aoal acal u bddd ogog al uv a coducd occaoall o vga obl ffc of alav uv hodolog o a of f oulao aa To hoh abou dffc bw al a du o alav uv lao a dg-bad ho dvlod fo h aal of coll adozd dg o adozd bloc dg bddd gal col alg dg Fo boh al dg dg-bad Wald ac a dvd fo h Hovz-Thoo ao ad h galzd go ao Th ho lluad wh a ulao ud Wod: Dg-bad aal; Mau o odl; Pobabl alg; Radozd ; Suoo oduco A a of uv hodolog o cod ad alav uv hod o ov h qual ad ffcc of al uv oc a aoal acal u Lag-cal fld bddd ogog uv a aculal aoa o quaf h ffc of alav uv lao o o bhavo o a of f oulao aa A Sac hlad fo al h ffc of alav quoa dg dff aoach ag o dff advac l hav b vgad o boh d of aa Va d Bal ad R 998 Va d Bal 00 ad Va d Bal ad Va Bl 00 A aoal acal u al uv a gall uchagd a log a obl od o couc uud of a of oulao aa vabl howv ha uv oc a adud fo o bddd ca b ald o dc ad quaf obl d duo h du o ca chag o a al uv ad ovd a af ao fo a old o a w uv dg Rug h old ad w uv cocul b a of a bddd ca h obl of fallg bac o h old aoach fo gula ublcao uo f h w aoach u ou o b a falu Alcao of bddd h lau a ad a h ao of h ba o h vaou vaac coo oal au o odl Mahalaob 946 oducd h da of bddg ogog al uv obabl fo h f a ag ubalg o vw dffc ud l ado alg ad ucd adozao of alg u o vw Fllg 964 ad Hal ad Rao 978 galzd h aoach o a o vaac ud o col alg dg ad cd adozao of alg u Fbg ad Tau dcu h dffc ad aalll bw h ho of al dg ad f oulao alg ad how h acal hodolog lod boh fld ca b cobd a uful ad aual wa h dg ad aal of bddd h 988 acl h gv a cohv ovvw of alcao of bddd od h lau Th cal uao codd h a a fld dgd o coa h ffc of dff uv lao h a o h a a of h f oulao aa of a cu uv To h d a obabl al ha daw fo a f ag oulao adol dvdd o ubal accodg o a al dg ach ubal agd o o of h a Th al dg codd h a a coll adozd dg CRD ad adozd bloc dg RBD wh alg ucu l aa a alg u PSU clu o vw a oal bloc vaabl Gall o lag ubal agd o h gula uv whch wll b ud fo offcal ublcao uo ad whch wll ulaoul v a h cool gou h Th uo of bddd h ao of f oulao aa ud h dff uv lao ad o hoh abou h dffc bw a of ho aa A f ac a adad odl-bad aoach gh b codd fo h aal Sc al u a a A va d Bal ad Robb H R Sac hlad Da of Sacal Mhod PO Bo CZ Hl Th hlad

5 Suv Mhodolog u daw b a of a col alg dg whou lac fo a f oulao h alcao of uch a aoach gh ul dg-bad aa ad vaac a Th a h aal ul coua wh h aa ad vaac a of h ogog uv whch colca h ao of h ul h dg-bad g of h al uv To a h aal o obu o dau fo h aud odl a dg-bad aal ha accou fo h alg dg hould b ald Bfo w ou dg-bad aoach wo alav a od ha a f glac o b coc W bfl agu howv ha boh alav gall gv vald ul Th f alav o al a dg-bad la go aal ha accou fo h alg dg o a ad hoh abou h a ffc h go odl Th aoach al ul howv wog dg vaac c h adozao of h al dg god Th a aal obcv of bddd o coa h ffc of alav uv aoach o h a a of h cu al uv A la go aal do cl h obcv c h a ffc h go odl a gall o qual o h dffc bw h ubal a Th cod alav o al a dg-bad fc fo coag doa aa whch h a a codd a doa Th obcv of a bddd howv o coa a of h a aa ud dff uv ag o a wha h ca of doa aa h obcv o coa a of dff oulao aa ud bacall h a uv ag Th aoach d h a ca b uazd a follow Bad o h ubal a dg-bad ao fo h oulao aa obvd ud ach of h a ad a dg-bad ao fo h covaac a of h coa bw h a a dvd Th ao ocdu accou fo h obabl ucu of h alg dg h ado ag of alg u o a du o h al dg ad h wghg ocdu ald h ogog uv fo h ao of ag aa Th gv o a dg-bad Wald ac o h ad hoh abou dffc bw al uv a Th a cobuo of h a o ovd a gal fawo fo coag alav uv aoach h alc uao of a full-cal al uv oc Th ado lco of alg u fo a f ag oulao b a of a obabl al ud cobao wh adozao of h alg u ov dff a accodg o a al dg Th facla coao of alav uv lao o h a ouco of a al uv ad h galzao of h obvd ul o oulao lag ha h al cludd h Th aal ocdu ood h a galz h aal of wo-a bddd al uv Va d Bal ad R 998 ad Va d Bal ad Va Bl 00 o CRD ad RBD wh > a A oa ul ha h dg-bad ao fo h covaac a of h coa bw h ubal a ha a lavl l ucu a f h alg u w daw wh lac ad uqual lco obabl A a ul h o cluo obabl o dgcovaac bw h ubal a a qud h vaac ao ocdu Th ul a aacv ad lavl l aal ocdu A cod advaag ha h ocdu hoh o dffc bw h al a of h uv whch facla h ao of h aal ul a alcao A dg-bad ho fo h aal of bddd d co co 3 lad o dal wh h dg-bad la go aal l aoa co 4 h ood dg-bad aal ocdu valuad a ulao ud Cocluo a uazd co 5 Aal of bddd Mau o Modl Alhough h aal ocdu fo bddd ood h co dg-bad o u ad of au o odl Tg ac ffc of dff uv hodolog o h ouco of a uv l h c of au o Th adoal oo ha obvao obad fo alg u a u fd valu obvd whou o gall aud dg-bad alg ho o abl uch uao Thfo a au o odl cfd fo h obvao obad ud h dff uv lao o a of h Th odl l h a ffc o ac dffc bw f oulao aa Cod a f oulao U of dvdual L vaabl l do h oal o of h h dvdual obvd b a of h h h a ad h l vw l L aud ha h obvao a a Sac Caada Caalogu o -00

6 6 Va d Bal ad R: Aal of bddd Col Salg Dg alzao of h au o odl l u β ψ l H u h u c valu of h h h dvdual β h ffc of h a ψ l h ffc of h l h vw o h h dvdual ad a o coo of h h dvdual obvd b a of h h a Th vw ffc ψ l allow fo ac clug ad colao bw h o of h dvdual agd o h a vw du o fd ad ado vw ffc ψ l ψl ξl wh ψ l h fd ad ξ l h ado ffc of h l h vw Bd vw coo faco uch a cod ad uvo gh alo duc colao bw h o of h dvdual Sc fo ach alg u a oal o vaabl dfd fo ach of h dff a h au o odl ca b d a oao a l u β ψ l wh β β β l l l ad L ad do h cao ad h covaac wh c o h au o odl Th followg odl auo a ad: 0 : O : 3 ξ l 0 4 τl : l l ξ l ξl 5 0 : l l ξl 0 6 wh 0 a vco of od wh ach l zo ad O a a of od wh ach l zo f ψ l 0 h a odl wh ol ado vw ffc obad f τ l 0 h a odl wh ol fd vw ffc obad Fo h auo follow ha l u ψ l β 7 ad l l τl : τl : O : ad ad ad l l l l 8 l l A colao bw h o of dff dvdual ca b odld b a of ado vw ffc A fd vw ffc fluc h cd o valu Fo ow o fo oaoal covc h ubc l wll b od l ad l Hoh Tg Th au o odl fo h obvao obad h abl u o la ac dffc bw oulao aa o h dff uv lao Suo ha L vw a avalabl fo h daa collco Th oulao U of z ca cocuall b dvdd o L gou U l of z l l L uch ha all dvdual wh a gou a oall vwd b h a vw L Y Y Y Y do h doal vco of oulao a of Y 9 L L l l u β ψ l ξl l l Th obcv of h o vga whh h a ac dffc bw h oulao a of Y du o h dff uv ag o a Th ca b accolhd b foulag hoh abou L l Y u ψl β l 0 wh h cao a ov h au o odl Th gv o h followg hoh: H H 0 : C : C Y 0 Y 0 wh C do a a wh coa ad 0 a vco of zo Sc C 0 follow ha C Y Cβ ad hoh coc h a ffc a d b β h au o odl Th coa bw h oulao aa al cood o h a ffc Fo h adozd codd h a hold ha ach al u agd o a vw l ha a ozo obabl of bg agd o ach of h a Thfo h ba h aa a du o fd vw ffc h a ud ach of h a ad cacl ou h coa bw h aa a Hoh wll b d b ag Y ad of β ag o accou h alg dg h al dg ad h wghg ocdu of h ogog uv ald fo h ao of oulao aa To a obabl al daw fo a f oulao avalabl Th alg u al u a adozd ov ubal ad a agd o o of h a co 3 a Sac Caada Caalogu o -00

7 Suv Mhodolog u dg-ubad ao fo Y dod Ŷ dvd Fo al Ŷ a b h Hovz-Thoo ao o h galzd go ao L V do h covaac a of Ŷ A aoal dgubad ao fo h covaac a of h coa of Ŷ dod C VC wll b dvd co 4 ow hoh ca b d b a of h followg dg-bad Wald ac: W Y C CVC CY Fo ahacal covc w f h coa a C M wh a vco of o ad h d a 3 ao of Ta ffc 3 Hovz-Thoo ao Cod a al daw b a gall col alg dg ha ca b dcbd b h f ad cod od cluo obabl ad of h h h ad alg u cvl h ca of a CRD al adol dvdd o ubal of z f do h ub of alg u h h codoal obabl ha h h alg u lcd ubal gv ha al lcd qual o / h ca of a RBD h alg u a codoall o h alzao of dcall dvdd o bloc Poal bloc vaabl a alg ucu l aa clu PSU vw ad h l Wh ach bloc h alg u a adozd ov h a L do h ub of alg u bloc agd o a Th do h z of bloc do h z of ubal ad do h z of al Th codoal obabl ha h h alg u lcd ubal gv ha al lcd ad qual o / ach ubal ca b codd a a wo-ha al wh h f od cluo obabl of h f ha al a obad fo h alg dg ad h codoal f od cluo obabl of h cod ha al a obad fo h al dg Fo h o of vw h f od cluo obabl fo h l of a qual o * / fo CRD ad * / fo RBD f h h alg u agd o h h bloc follow ha h Hovz-Thoo ao fo Y bad o h obvao obad fo ubal ca b dfd a: ; * Y 3 wh a vco ha dcb h adozao cha of h al dg Fo a CRD follow ha f 4 0 f ad fo a RBD f 5 0 f wh do h u vco of od wh h h l qual o o ad h oh l qual o zo ad 0 do a vco of zo Po of h vco a gv h ad ow c ca b codd a a wo-ha al hold ha Y ; Y wh ad do h cao wh c o h al dg ad h al dg cvl So gv h vco Y Y Y ; ; ood a a dgubad ao fo Y Bu h Ŷ ubad fo Y 3 Th Galzd Rgo ao f oulao alg cuoa o ca h accuac of h Hovz-Thoo ao f uabl aula foao avalabl b a of h galzd go ao g Bhlh ad ll 987 ad Sädal Swo ad Wa 99 Th galzd go ao abl u o cooa h wghg ch of h ogog uv h aal of bddd Th gh dca h dg vaac a wll a h ba du o lcv oo ad hfo a ca h accuac of h h co h galzd go ao hfo a dg-bad aalogu of covaac aal adad al dg hodolog Bd h valu of h o vaabl w alo aoca wh ach u h oulao a H vco of aula foao Th f oulao a of h aula vaabl a aud o b ow ad a dod b X alo aud ha h aula vaabl a c valu ha ca b obvd whou au o ad o a o affcd b h a Wh h odl ad aoach of Sädal al 99 followd h c valu u h au o odl of co fo ach u h oulao a aud o b a dd alzao of h followg la go odl: Sac Caada Caalogu o -00

8 8 Va d Bal ad R: Aal of bddd Col Salg Dg u B 6 wh B a H vco coag h go coffc ad h a h dual h odl ad aoach of Sädal al 99 h c valu u a codd o b a alzao of a udlg uoulao odl dfd b 6 h ca h dual a dd ado vaabl wh a vaac ω Th qud ha all ω a ow u o a coo cal faco; ha ω v ω wh v ow Fo a cl dg-bad o of vw ood b Bhlh ad ll 987 h o d o ado a uoulao odl ha ca h dual a fd c valu of h l h f oulao ad o odl auo abou h dual a dd h a h odl ad aoach of Sädal adod Th l ha cao wh c o h au odl a 7 ad 0 a codoal o h alzao of h c valu u h f oulao accodg o h uoulao odl 6 Th go coffc of h la odl 6 h f oulao a dfd a u b 7 ω ω Th c valu u a o obvabl du o au o ad a ffc Coqul 7 cao b coud v h ca of a col uao of h f oulao h ca of a h col uao ud h a ~ b 8 ω ω do h f oulao go coffc of h la odl 6 Codoal o h alzao of u h cao of h f oulao go coffc b ~ wh c o h au o odl gv b ~ u β ψl b b ω ω 9 Th f oulao go coffc b ~ ad b ca b ad ug h al daa fo ubal wh h Hovz-Thoo ao: b ω * ω * ow h galzd go ao fo Y bad o h obvao of ubal dfd a Y Y b X X 0 ; gg ; wh X do h Hovz-Thoo ao fo h oulao a of h aula vaabl X bad o h alg u of ubal Wh g 0 a a fuco of Y ; b X h galzd go ao ca b aoad b a of a f od Talo lazao abou Y b X wh b dfd 9 Th gv: Y & Y b X X b X ; gg ; ; wh ; ; B Y b X ad wh B a H a of whch h colu a h H vco b ow Y Y Y GRG ;gg ;gg ood a a aoal dg-ubad ao fo Y 4 Vaac ao of Ta ffc L V do h covaac a of Y GRG To a h covaac of V vco coag h obvao of all a obad fo ach alg u a qud Sc h al dg ud codao ach alg u agd o o of h a ol o of h coo of fo acuall obvd Coqul a dgubad ao fo V cao b dvd Va d Bal ad Bd d o ovco h obl b ug h uobvd coo Th uful of h ul howv dd o h coc of h uao odl h a h obl ccuvd b dvg a dg-bad ao fo CVC h covaac a of h coa of Y GRG whch uffc fo h Wald ac o fo h galzd go ao a dvd f Rul fo h Hovz-Thoo ao a gv a a cal ca Th covaac a of h coa of Ŷ GRG ca b aoad b h covaac a of h coa of L ; ; ad do h covaac wh c o h al dg ad h al dg cvl ow cod h followg vaac dcooo: CVC C C C Sac Caada Caalogu o -00

9 Suv Mhodolog u Sc 4 h ad follow ha B Ud h codo ha a coa H vco a uch ha a fo all U ov h ad ha C B C 3 Th ad codo lcl au ha h z of h f oulao ow ad ud a aula foao Th codo hold fo wghg odl ha coa a c o o o o cagocal vaabl ha ao h oulao o uboulao Ug odl auo ad 3 follow fo ad 3 ha ad C C C C C C C C C 4 5 Fo h hd ov h ad fo a RBD ha C wh D a d b CDC C C 6 dagoal a wh dagoal l b S 7 f h ul obad 4 5 ad 6 a d h follow ha CVC CDC 8 Codoall o h alzao of ad a aoal dg-ubad ao fo D 8 ca b dvd Thfo CVC ca covl b ad lcl a h cao ov h au o odl ad h alg dg S Va d Bal 00 fo lc o fo CVC Gv h alzao of ad h allocao of h alg u wh ach bloc o h ubal ca b codd a l ado alg whou lac fo bloc Coqul fo a RBD follow ha a aoal dg-ubad ao fo D gv b a dagoal a D wh dagoal l d b b S 9 A aoal dg-ubad ao fo CVC 8 gv b C DC Rul fo a CRD follow dcl a a cal ca fo 7 ad 9 wh ad A a alav h dual b 9 ca b ulld b h coco wgh alo calld g wgh Sädal al 99 ul 66 Sc CVC 8 dfd lcl a h cao ov h alg dg 9 aoal dg-ubad ud gal col alg ch Th vaac ao ol qu ha h faco of alg u agd o h dff a accodg o h al dg fd advac Th z of h al a wll a h bloc gh b ado wh c o h al dg g h ca of a RBD wh clu o PSU a h bloc vaabl Th vaac ao CDC ha a ucu a f h ubal had b daw ddl fo ach oh wh h alg u a lcd wh uqual obabl / wh lac h ca of a CRD o / wh lac wh ach bloc h ca of a RBD coa 9 wh Cocha 977 quao 9A6 aabl ha h cod od cluo obabl of h alg dg hav vahd Th caud b: Th auo of addv a ffc h au o odl β fo all U obvd ud a Th auo ha au o bw dvdual a dd A ol cho wghg ch uch ha h codo a fo all U afd 4 Th fac ha vaac a calculad fo h coa bw h ubal a Th dg vaac of h f-od Talo aoao of h galzd go ao co of h dual b Fo h oof of 3 follow ha ud a wghg ch ha af h codo Sac Caada Caalogu o -00

10 0 Va d Bal ad R: Aal of bddd Col Salg Dg a fo all U h a ffc β vah fo h dual b 3 h dual h a: Th dual of h la go odl of h c valu u b A cocg h ba du o h vw ffc Th qual o ψ l d wh d do h go coffc fo h go fuco of h vw ffc o h aula vaabl oof of 3 h ad 3 Th au o Th dual of h c valu ad h ba du o h vw ffc do o dd o h dff a ad hfo cacl ou h coa of h dual 3 Ol h au o a h coa of h dual 3 A a ul h wo C ad C ol coa h au o Du o h auo of ddc of h au o bw dvdual h co oduc bw dvdual whch coa h cod od cluo obabl 4 ad 5 vah Th covaac ucu of h hd of al dd b h adozao cha of h al dg Fo a CRD h co dow o h lco of ubal fo b a of l ado alg whou lac Fo a RBD h co dow o h lco of ubal fo b a of afd l ado alg whou lac wh aa cood o h bloc of h h vaac of h coa of h ubal a h f oulao coco h dg vaac of h ubal a cacl ou aga h dg covaac bw h ubal a A a ul h ladg of 6 CDC ha a ucu a f h ubal w daw ddl of ach oh b a of l ado alg wh lac h ca of a CRD o afd l ado alg wh lac h ca of a RBD Scod od cluo obabl aa f h cao wh c o h alg dg 8 ad lc Va d Bal 00 Th u u of aula foao a wghg ch wh ad ω ω fo all U Ud h wghg ch follow ha Y ; gg * * ~ 30 whch ca b cogzd a h ao ao fo a oulao a ogall ood b Há 97 alo follow ha b ~ ad ha a aoal dg-ubad ao fo h covaac a of h a ffc gv b 9 wh b ~ * f / h h ao ao 30 cood wh h gula Hovz-Thoo ao Th codo afd h ca of a CRD o a RBD bddd a l ado alg dg a RBD bddd a afd l ado alg dg wh aa a ud a bloc vaabl o a CRD bddd a afd l ado alg dg wh oooal allocao Ud h codo o fo h dg vaac of h Hovz- Thoo ao a gv b 7 ad 9 wh b ad b a lacd b Vaac o fo h Hovz-Thoo ao a o colcad f Va d Bal 00 5 Th Wald T g h dg-ubad ao fo h ubal a ad h covaac a of h coa bw h ubal a o lad o h dg-bad Wald ac W Y C CDC C Y 3 GRG GRG ov h ad ha h o ca b lfd o: ;gg ;gg Y Y W 3 d d d Fo gal alg ch h aoc dbuo of h ac wll b uow Howv f h alg dg l ado alg whou lac ad h al dg a CRD h Lha 975 ad 8 bad o h wo of Há 960 gv uffc codo ud whch Ê aocall ulvaa oal dbud wh a ~ ad covaac a V f ad ~ : V Hc C ~ C CVC wh C / C Sc h C a uuall dd ado vaabl wh a qual o zo ad covaac a C C w hav b h oda cal l ho C 0 / C C Cobg boh l dbuo w oba ha ucodoall C Ê 0 CVC ad hu CYGRG Cβ CVC A a ul follow ud h ull hoh ha W aocall ch-quad dbud wh dg of fdo Sal 97 ho cha Fo o col alg dg uuall cocud ha Sac Caada Caalogu o -00

11 Suv Mhodolog u 005 CYGRG Cβ CVC Th W ll aocall ch-quad dbud wh dg of fdo Th vald of h cocu ha b cofd b ulao ud co 4 ad Va d Bal 00 6 Poold Vaac ao h ca of a RBD h alg u of a dvdd o gou of z Fo ach of h ubal aa oulao vaac S hav o b ad f h ub of al u avalabl fo h ao of h oulao vaac bco oo all h h a gh bco uabl uch uao o abl a ca b obad b oolg a of h oulao vaac wh h bloc Th dual of h galzd go ao b ol dd o h h a ffc hough h au o Ud h auo ha σ 3 fo all U follow ha h S wh ach bloc a dcal aa S S S fo Ud h auo ffc o u a oold ao fo S ; S ; P o alavl S ; b P b b b Th a val cal ca wh h dg-bad Wald ac cocd wh h F ac ow fo o adad odl-bad aal ocdu Cod a RBD bddd a lf-wghd alg dg wh alg u a allocad oooall o h a ov h bloc / ad / / fo all Th follow fo h ul obad fo h ao ao 30 ha Y ; gg / ad b Do / ad / h follow ha b f h follow ud h oold vaac ao 33 ha d b b d P 35 Do / Ud h oold vaac ao 34 follow ha d b b d P 36 Subug h oold vaac ao o h Wald ac 3 lad o W 37 d P a wh d P gv b h 35 fo a o 36 fo a a ca b cogzd ha W / 37 wh d P h oold vaac ao 35 cood wh h F ac of a AOVA fo a wo-wa laou whou aco f d P 36 d h W / cood wh h F ac of a AOVA fo a wo-wa laou wh aco Schffé 959 cha 4 A oold vaac ao fo a CRD follow a a cal ca fo 35 ad 36 Ud boh ao follow ha W / cood wh h F ac of h o-wa AOVA Schffé 959 cha 3 7 Advaag of RBD Th a advaag of RBD h lao of h vaao bw h bloc h aal of a ffc Salg u fo h a au PSU o clu gall hav a hgh dg of hoog coad wh alg u fo dff aa PSU o clu Th ugg ug alg ucu l aa PSU o clu a bloc vaabl a RBD Fbg ad Tau Ug h alg ucu a a bloc vaabl a RBD u ha ach au PSU o clu uffcl d wh Sac Caada Caalogu o -00

12 Va d Bal ad R: Aal of bddd Col Salg Dg ach ubal Alo vw a oal bloc vaabl c h la h vaao h obvao du o fd o ado vw ffc cfd au o odl Fo uv wh vw collc daa b a of CAP ad gogahcal aa blocg o vw alo la h goal vaao fo h ag vaabl Th ow of a azd f alg u a allocad oooall o a ov h bloc / / fo all Va d Bal 00 cha 6 Th allocao b vd f vw a ud a h bloc vaabl c o a bw vw dff ubaall Ucd adozao b a of a CRD o alwa fabl fo a accal o of vw Fo al CAP uv wh vw collc daa gogahcal aa uoudg h lac of dc cd adozao of alg u wh vw o gogahcal go whch a uo of adac vw go gh b qud o avod a uaccabl ca h avl dac of h vw Th auall lad o RBD wh vw o go a bloc vaabl 3 Dg-Bad La Rgo Aal A dg-bad la go gh b codd a a alav fo h aal of bddd Th obvao a aud o b h ouco of a la go odl B wh h vco coag Q laao vaabl B h vco coag h go coffc ad a dual Th odl al dd b h al dg ad coa h a faco local cool faco g bloc ad covaa a laao vaabl g Mogo 00 Poal covaa a h aula vaabl h wghg ch of h galzd go ao Th aa of a h go coffc h f oulao whch a dfd b β X X X wh X h Q dg a of h al dg ad a vco coag h obvao obad ud h dff a a f h f oulao cludd h Th dg a cocuall dvd h oulao o uboulao o doa whch a obvd ud ach of h a of h Th z of ach uboulao dd b h faco of alg u agd o ach a h A dg-bad ao fo h go coffc gv b β Χ Π Χ XΠ Sädal al 99 co 50 H X h Q dg a a vco coag obvao obad ud h dff a of h u cludd h al ad Π a dagoal a coag h f od cluo obabl of h alg dg Th aoa covaac a of β gv b Sädal al 99 co 50 Va β X X Λ X X - 38 wh Λ Va XΠ XΠ Xβ Th l of Λ a gv b q q λqq q q Q U U wh β Hoh abou h ub of go coffc ha flc h a ffc a d wh a Wald g S 989 Th ao dawbac of h aoach ha h ao ocdu do accou fo h ado ag of alg u o a accodg o h al dg dog o h ubal a a ooul ad a f h w doa a whch ul wog dg-vaac Th covaac a of h a ffc 8 dvd co 4 llua ha h uoo of h al dg o h alg dg d whch cfc fau of h alg dg a ullfd o vd Fo al h ffc of afd alg o wo-ag alg o h vaac of h a ffc ullfd ud a CRD Th ffc howv god b h la go aoach c Va β ol accou fo h vaac of h al dg Dgadg h al dg h vaac ao ocdu bco v o obvou ud a col uao of h f oulao Du o h al dg h f oulao adol dvdd o ubal ad h aa ud h dff a a ll ad wh a ozo dg vaac h uao follow fo h la go aoach ha β β ad ha Va β qual o zo bcau h dg-vaac ducd b h al dg god Th coa wh 8 ha ud a col uao ll flc h dg-vaac du o h al dg o dal vd how h la go aoach ca b adud o allow fo h adozao du o h alg dg a wll a h al dg Codoall o h alzao of h al h al dg ca b dcbd b f ad cod od cluo obabl L do h f od cluo obabl ha h h alg u agd o h h a ad l do h cod od cluo obabl ha h alg u agd o h h h a ad h alg u agd o h h a A dg-bad ao fo β ha accou fo h alg dg ad h al Sac Caada Caalogu o -00

13 Suv Mhodolog u dg gv b β XΠ X XΠ wh Π do h dagoal a wh f od cluo obabl A aoao fo h covaac a of β gv b 38 wh Λ obad b codog o h alzao of h al Λ Va X Π X Π X β Va X Π X Π X β Th lad o h followg o fo h l of Λ : q q λ qq U U q q U U whch ha h vaac ucu of a wo-ha al wh h f ha cood o h alg dg ad h cod ha o h al dg Th alg u a accodg o h al dg agd o ol o of h a A a ul follow ha 0 fo ad whch ha h dvao of a aoal dg-ubad ao fo h covaac of Vaβ alo Va d Bal ad Bd h aal ocdu ood co h obl ccuvd b dvg a dg-bad ao fo h covaac a of h coa of C ŶGRG ad of a ao fo h covaac a of Ŷ lf GRG 4 Sulao Sud ubco 4 a ulao ud coducd o valua h foac of h dg-bad ao fo h covaac a of h coa bw h ubal a CDC wh dagoal l 9 a wll a h dg-bad Wald ac W dfd b 3 o hoh abou h coa Subqul h dg-bad Wald h dg-bad la go aoach ad a adad AOVA a ald o h aal of a CRD ad a RBD ubco 4 4 valuao of h Ubad of Dbuo of W CDC ad h h ulao ud a au o odl whou vw ffc aud β 39 u A afcal oulao cog of 3 aa 450 PSU ad SSU gad b adol dawg cl ov valu fo h c valu u of a ag aa Th z of h PSU h oulao a uqual Th c valu a gad wo F a ov valu fo ach PSU h oulao daw fo a ufo dbuo Subqul a ov valu fo ach SSU alo daw fo a ufo dbuo addd o h valu obad fo h PSU h f Wh ach au dff low ad u bouda ad val-wdh fo h ufo dbuo a ald uch ha h oulao ca b afd o h lavl hoogou uboulao Th val of h ufo dbuo ha a ald h cod a all ha h val of h ufo dbuo h f Th uld a oulao wh h c valu fo h SSU wh ach PSU a clud Th ucu of h oulao uazd Tabl Tabl Poulao c valu of ag aa Sau ub of PSU ub of SSU Ma Sd dv M valu Ma valu Toal Sal a daw adl fo h oulao b a of afd wo-ag alg whou lac wh uqual cluo obabl Th cluo obabl a cho oooall o h z of h ag aa Th al z fo h dff aa a uazd Tabl Fo ach al a w au o gad fo ach oulao l Th au o a daw fo a oal dbuo wh a a qual o zo ad a adad dvao oooal o h z of h c valu Th ag of h adad dvao vad fo 000 fo h SSU wh h lag c valu h f au o 0 fo h SSU wh h all c valu h hd au Tabl Sal Dg Sau ub of PSU ub of SSU Toal Fall h al a adol dvdd o fou ubal accodg o a al dg ach wh a z of 945 SSU Two dff al dg a ald h f dg h SSU a adozd ov h fou dff a accodg o a CRD h cod dg h SSU a adozd ov h fou dff a accodg o a RBD wh h h aa a ud a h bloc vaabl Wh ach bloc o au /4 of h SSU a adol agd o ach a Ud boh al dg fou dff Sac Caada Caalogu o -00

14 4 Va d Bal ad R: Aal of bddd Col Salg Dg of a ffc a ald o ud h ull hoh ad h ud dff alav hoh Th uld gh dff ulao whch a cfd Tabl 3 ach ulao bad o R al Obvao fo h ag aa a obad b addg a au o ad a a ffc o h c valu accodg o 39 Tabl 3 Sua of Sulao Sg Ta ffc al dg β β β 3 β 4 CRD RBD CRD RBD CRD RBD CRD RBD Th daa obad ach al a aalzd wh h dd Hovz-Thoo ao 30 L ~ do h h ubal a obad ud h a h h al Th vco wh h fou ubal h a obad h al dod b Y ~ ~ ~ ~ ~ 3 4 Th vco wh h h coa h h ~ al qual o C Y wh C M a vco of od 3 wh ach l qual o o ad h 3 3 d a Fuho d do h dagoal l of h ad covaac a obad ud h h al A o fo d gv b 9 wh b ~ Th ad covaac a of h a ffc qual o D C C wh D ~ dag d d d3 d4 Fall W C Y CD C ~ CY do h Wald ac obvd h h al Bad o h R al wh ach ulao h oulao aa ud h dff a ca b aoad b R Y Y ~ R wh Y Y Y Y3 Y4 Fo 0 follow ha h al a ffc h au o odl ca b aoad b CY Cβ Fuho h a of h ad al covaac ac ca b calculad a R CDC CD C R ad h a of h al Wald ac a R W W 40 R A aoao of h al covaac a of h a ffc gv b R ~ ~ CVC C Y Y Y Y C 4 R Th foac of h vaac ao ocdu valuad b coag C DC o CVC f h dvd vaac ao CDC aoal dgubad h h a of al covaac ac C DC u d o h al covaac a CVC fo R A o of h co of h dvd vaac ao obad b calculag h adad dvao of h l of C DC ad dod b σ CDC Th dagoal l of D a dod d f CYGRG Cβ CVC h follow ha W χ[ ][ ] δ wh h ub of dg of fdo ad δ / Cβ CVC Cβ h ocal aa of h ch-quad dbuo h ulao ud h o-cal aa ud h alav hoh ca b calculad b g 4 h o of δ Subqul h ow of h Wald ac fo a acula of a ffc ca b calculad b P W P χ[ ][ ] [ ][ ] δ > χ α wh h χ[ α ][ ] do h α cl o of h cal ch-quad dbuo wh dg of fdo Th foac of h Wald ac valuad b coag P W wh h ulad ow whch dfd a h faco of gfca u obvd h R al R P W W > χ[ α ][ ] R wh B do h dcao vaabl whch qual o o f B u ad qual o zo ohw Th ul of h ulao a uazd Tabl 4 hough 48 Th a of h ubal a Y ud h ull hoh Tabl 4 ad 45 lghl ova h oulao a Tabl Th dffc ca b abud o h ba of h dd Hovz-Thoo ao Th a of h coa bw h ubal a C Y howv alo fcl ag wh h al a ffc Cβ Th a of h al covaac ac C DC d o h valu of h al covaac ac CVC whch llua ha h vaac ao ocdu dvd co 4 aoal dg-ubad Th lav co of h dagoal l of C DC abou 05% ud h acula al z Th ulad ow bad o h al dbuo of h Wald ac aoa h al ow aoabl wll O h avag h ulad ow lghl hgh Th cd valu of h chquad dbuo qual o χ[ ][ δ] δ Sal 97 co 4h f h al dbuo of h Wald ac d o a χ[ ][ ] δ h h a of h al Wald ac W 40 u d o h cd valu of h ch-quad dbuo dd follow fo Tabl ha W δ Moov h Sac Caada Caalogu o -00

15 Suv Mhodolog u hoh ha h al dbuo of h Wald ac ud h ull hoh qual o h cal chquad dbuo d wh h o-al ologoov-sov Th hoh o cd a a gfcac lvl of 5% fo h h CRD o h RBD ad cof h cocu ha h Wald ac aocall ch-quad dbud ud afd woag alg whou lac uqual cluo obabl ad lavl lag alg faco f h ulao ud a CRD a coad o a RBD h follow ha blocg o aa ul a ubaal ca of h co of h ad coa ad h ow of h h acula uao Tabl 4 Sulao Rul CRD β Subal Coa Wald ac β Y d Dagoal l of α P W P W C Y CVC C DC σ CDC W : δ : Tabl 4 Sulao Rul CRD β Subal Coa Wald ac β Y d Dagoal l of α P W P W C Y CVC C DC σ CDC W : δ : Tabl 43 Sulao Rul CRD β Subal Coa Wald ac β Y d Dagoal l of α P W P W C Y CVC C DC σ CDC W : δ : Tabl 44 Sulao Rul CRD β Subal Coa Wald ac β Y d Dagoal l of α P W P W C Y CVC C DC σ CDC W : δ : 03 Tabl 45 Sulao Rul RBD β Subal Coa Wald ac β Y d Dagoal l of α P W P W C Y CVC C DC σ CDC W : δ : Sac Caada Caalogu o -00

16 6 Va d Bal ad R: Aal of bddd Col Salg Dg 4 Coao of Th Aal Pocdu Fuho h obl aal ocdu fo bddd a coad h dg-bad Wald ood co a adad AOVA wh all obvao a quall wghd ad aud o b d ad h dg-bad la go aoach dcbd co 3 To h d wo al ach wh a z of 3780 SSU a daw fo h f oulao cfd Tabl b a of h afd wo-ag al dg whch wa alo ud h vou ulao Tabl Fo o al h SSU a adol dvdd o fou ubal ach wh a z of 945 b a of a CRD Fo h oh al h SSU a adol dvdd o fou ubal ach wh a z of 945 b a of a RBD wh h aa a ud a h bloc vaabl Boh a coducd ud h alav hoh wh h a ffc h f oulao a qual o β Th dg-bad la go aal fod wh Saa SVYRG ocdu ha accou fo h afcao wo-ag alg ad h uqual lco obabl of h alg dg SaaCo 00 Th AOVA fod wh Saa ΑΝΟVΑ ocdu SaaCo 00 Th aal ul ud a CRD a uazd fo h dg-bad Wald Tabl 5 fo h dg-bad la go aoach Tabl 5 ad fo h AOVA Tabl 53 Slal h aal ul ud a RBD a uazd Tabl 6 6 ad 63 A hazd co 3 h la go aoach go h dg vaac du o h adozao of h alg u ov h ubal wh c o h al dg A a ul h adad o of h a ffc a all ud h la go aoach ha h ca of h dg-bad Wald ad h dg-bad go aoach ul all -valu fo h of a ffc Tabl 46 Sulao Rul RBD β Subal Coa Wald ac β Y d Dagoal l of α P W P W C Y CVC C DC σ CDC W : δ : 0 36 Tabl 47 Sulao Rul RBD β Subal Coa Wald ac β Y d Dagoal l of α P W P W C Y CVC C DC σ CDC W : 5 68 δ : 905 Tabl 48 Sulao Rul RBD β Subal Coa Wald ac β Y d Dagoal l of α P W P W C Y CVC C DC σ CDC W : δ : 5 33 Tabl 5 Dg-bad Wald Sac CRD Subal Coa Wald ac β ~ ~ d d W df valu Sac Caada Caalogu o -00

17 Suv Mhodolog u β Tabl 5 Dg-bad Rgo CRD Souc Coffc Sd Wald ac df valu a a a a coa Tabl 53 Sadad AOVA CRD Coa AOVA 0 80 Souc df MS F valu Bw a Rdual Toal 3779 β Tabl 6 Dg-bad Wald Sac RBD Subal Coa Wald ac β ~ ~ d d W df valu Tabl 6 Dg-bad Rgo RBD Souc Coffc Sd Wald ac df valu Bloc Bloc Bloc Ta Ta Ta Ta Coa Tabl 63 Sadad AOVA RBD Coa AOVA Souc df MS F valu Bw bloc Bw a Rdual Toal Th adad AOVA a av aoach c go h afcao clug ad lco of alg u ug cluo obabl ha a cho oooal o h valu of h ag aa Th ul of gog h ac of h alg dg h aal a v ov-ao of h ubal a a wll a h adad o Coad o h oh wo dg-bad ocdu h ul lag -valu fo h of a ffc Aoh oa advaag of h dg-bad Wald coad o h dg-bad la go aoach ha h Wald alwa coc h dffc bw h ubal a whch facla h ao of h ul Th o aculal oa fo bddd ad a h quafcao of d duo h aa of a uv du o adu h uv dg h ca of a CRD h la go odl co of o c aa ad h coffc fo h a ffc Sac Caada Caalogu o -00

18 8 Va d Bal ad R: Aal of bddd Col Salg Dg h aculal l uao h coffc fo h a ffc a acl qual o h dffc bw h ubal a Th o howv do hold fo h a ffc obad ud o colcad odl a fo al h ca of h RBD 5 Dcuo ad Cocluo h a w dcu how h acal hodolog of adozd ad ado uv alg ca uo h dg ad aal of bddd ogog al uv Th al uv dg fo a o fawo fo h alcao of cl ow fo h ho of al dg l adozao ad local cool b a of blocg o aa PSU clu o vw To hoh abou h a of f oulao aa obvd ud dff a of h a dg-bad Wald ac fo h aal of CRD ad RBD bddd gal col alg dg dvd ug h Hovz-Thoo ao ad h galzd go ao Th alcao of adozd alg fo a f oulao cobao wh h dg-bad aal ocdu abl u o galz h ul of h obvd h cfc al o h uv oulao Sc w allow fo gal col alg dg a ah colcad o fo h covaac a of h a ffc wh ozo off-dagoal cd Th dvd ao fo h covaac a howv ha a ucu a f h alg u w daw wh lac ad wh uqual lco obabl o cod od cluo obabl o dg-covaac bw h a ffc a qud whch lf h aal codabl Fo al h ca of l ado alg whou lac h ul al ha h f oulao coco faco hould b dgadd ag h vaac of coa A a ul a Wald ac dvd fo a dgbad cv ud gal col alg dg obad ha ll ha h aalg lavl l ucu of adad odl-bad aal ocdu Fo CRD ad RBD bddd a lf-wghd alg dg aalzd wh h dd Hovz- Thoo ao ad a oold vaac ao h Wald ac cocd wh h F ac of a AOVA fo h o-wa ad wo-wa laou Fo h aal of h bddd wo-a a dg-bad vo of h ac ca b dvd a a cal ca of h Wald ac o ad o dal abou h dg-bad ac ad laoh wh Wlch ac ad h adad ac ca b foud Va d Bal ad R 998 Va d Bal 00 o Va d Bal ad Va Bl 00 Th aal ocdu ood h a ld a ofwa acag calld X ool Th ool wll bco avalabl a a coo of h Bla uv ocg ofwa acag dvlod b Sac hlad Ad Po of h adozao vco Fo CRD ad RBD h adozao vco a dfd b 4 ad 5 A a coquc of h adozao cha of h al dg h vco a ado wh h followg codoal obabl a fuco Fo a CRD w hav P ad P 0 Fo a RBD w hav P ad P 0 Po of h vco a dvd fo a RBD Po fo a CRD follow a a cal c a CRD ca b codd a a RBD wh o bloc L w do wh obabl w : f O w : w : 0 f O w : O O w w w w : : : : f f f f Sac Caada Caalogu o -00

19 Sac Caada Caalogu o -00 f : w f : w f : w f : w O O Th cao of wh c o h al dg gv b: P P Th followg covaac wh c o h al dg ca b dvd: ad f ad f O 45 ad f ad f O 46 Poof of foula 3 Ud h ad codo ha a coa H vco a uch ha a fo all U ad codoal o h alzao of u accodg o uoulao odl 6 follow ha b ~ 8 ca b valuad a ~ l u β β ω ψ ω ω ω a d b a b 47 wh b do h go coffc dfd b 7 ad d do h go coffc fo h go fuco of h vw ffc o h aula vaabl Fo ul 47 follow ha β d b B Sc 0 C ad fo au o odl ad la go odl 6 follow ha QD C β d b β C B C l u ψ Poof of foula 6 fo a RBD F a o fo C dvd L do a vco wh l b Coqul B o ha C C C wh ; ; Fuho o ha ; B 48 Ug 43 ad 46 h dagoal l of ca b laboad a Va ; 49 Ug 44 ad 45 h off-dagoal l of ca b laboad a ; ; 50 Suv Mhodolog u 005 9

20 Sac Caada Caalogu o -00 Th ul 49 ad 50 ca b w a oao; B B B B D wh D do a dagoal a wh l d b b Accodg o 3 follow ha C C C C CDC C 5 Th fal a of h oof o a h cao of C wh c o h alg dg ad h au o odl Th oof gv fo RBD wh PSU a bloc vaabl a wo-ag alg ch bloc o PSU a daw fo a f oulao of u bloc wh f od cluo obabl Wh ach PSU SSU a daw h cod ag wh f ad cod od cluo obabl ad Th f od cluo obabl of h dvdual h al a Fuho l Δ do h oulao a of h au o of h dvdual of bloc Th Δ do h Hovz-Thoo ao fo Δ ow w hav Δ Δ Δ Δ Δ Δ 5 L do h cao wh c o h f ag of h alg dg ad h cao wh c o h cod ag of h alg dg Tag h cao wh c o h au o odl ad h alg dg of h f a of 5 ad ug odl auo 3 lad o Δ Δ Δ Δ 53 o ha Δ Δ Δ Δ 5 qual h dg vaac of Δ wh c o h cod ag of h alg dg bloc Tag h cao wh c o h au o odl ad h alg dg of h cod a of 5 ad ug odl auo 3 lad o Δ Δ Δ Δ 54 Wh ul 5 53 ad 54 w ca laboa h cod o h gh had d of h qual g of 5 a C C C C C C 55 0 Va d Bal ad R: Aal of bddd Col Salg Dg

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