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Determination

By Bruce Bradley,2014-09-20 15:16
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DeterminationDeterm

    Determination

Decemrl999JournalofNortheastAgriculturalUnlversityVol6?No2l58160

    ;DeterminationofEvenDegreeof

    ;AnimalPopulation

    ;SongRenxue,YangYunqing

    ;(North*eastAgricu|tura|University.Harbinl5OO3OPRC)

    ;ABSTRACT

    ;Theevendegreeofanimalpopulationisgenerlaymeasuredbythecoefficientofvariationofmajoreco- ;nom~ccharacters.Facingthecoefficientofvariation?astatisticwithe~mplexpropertiesachievedindirectly

    ;thedeterminationofconfidenceintervalforevendegreeofananimalpopu[ationbyanalysingthereciprocalof

    ;thestatistic.Thesamplesizewhichissuitabletothedeterminationoftheevendegreeofananimalpopulation

    ;wasprobedintowithintheextentofpermissiveestimationerror.

    ;KEYWORDS:evendegree;coefficient0{variation;determination;samplesize ;Inproductionofmodernanimalhusbandry,especiallyinindustrialpigfarmingandpoul

    ;tryfarming,theproductionflowofwholeinandwholeOUtrequireshighlevelevendegree ;ofananimalpopulation(LiuZhenyi1981).Therefore,apartfromeconomiccharacters.even ;degreehasbecomeanimportantindextOmeasurebreedsperfomanceandraisingeffect.The ;evendegreeofananimalpopulationisusuallyreflectedbythecoefficientofvariationofma

    ;jOreconomiccharacters.CoefficientofVariationC.V.iSequaltOstandarddeviationofob

    ;servedcharactersSdividedbythemeanvalue,andisintheformofpetcentage:CV=S/

    ;×100.Theindexvarieswiththestagesofgrowing.SOitisneededthattheindexisoh

    ;servedregularlyattheraisingOrbreedingsite.BecausethehighCOSTSoftheobserving,the ;charactersofeachindividualofapopulationcannotbeobtainedateachtimeofobservlng. ;Therefore,thecoefficientofvariationofapopulationcanonlybeiMeredfromthecoefficient ;ofvariationofthesample.Determinationofevendegreeofananimalpopulationcanbeper

    ;formedbymeansofstatistics.

    ;1Determinationofevendegree

    ;Let,betherandomvariabledefinedonaprobabilityspace(Q,F,P),and

    ;e(?)?,)?,(>O),??Q

    ;Thenwehave:

    ;(m(m)<m)=(m:)<<)

    ;Hence

    ;SupportedhyHeilengihtaaScienceandTechnologyCommittee

    ;Manuacriptrecevivedl999一一l8

    ;

    ;No.2JournalofNoz~eaB~A~dculturalUniverslty?159?

    ;P(}<.<P(<<)

    ;Where0isaconstant.Theaboveequalitywillbeusedinthefollowing. ;Letpandbethemeanvalueandstandarddeviationofaneconomiccharacterofanani- ;realpopulation,respectively.LetandSbethecorrespondentstatisticsofthesamplefrom ;thep.pulation,respectively-Because.f詈?N[,],the1ac.nfidenceintervalforthe

    ;parameteris:詈一u{??+u1.Ifus>o(thisc.nditi.ncanbe

    ;metinpractice),letSreplaced,takethereciprocalsatthetwosidesoftheaboveinequality, ;hencethe1ac.nfidenceintervalf.rtheparameter,thec.effic|ent.fVati.n.fthe

    ;population,canbeobtained.

    ;:??—:(1)/+u一一一U1S…

    ;Example1.Sixtyoflayersatfirstlayingaretakenfromapopulationrandomlytomeasure ;theirweights.andS@recalculated:j=1430.6g,S142.4g.Basedonthesedata,compute

    ;the95confidenceintervalfortheevendegreeoftheweight.

    ;Whenais0.05,U=1.96.Puttheknowndataintotheinequality(1)andcalculate: ;Theupperconfidencelimit

    ;Thelowerconfidencelimit

    ;Hencethe95confidence

    ;EO.0971,0.1021].

    ;10.21g~,6O×1430

    ;.

    ;61.96×142.4

    ;_一一9.71V6

    ;0×1430.6+1.96×142.4

    ;intervalsfortheevendegreeofthelayers’weightsis

    ;2Estimationofsamplesize

    ;Inpreviouspartsofthispaper,theestimationofconfidenceintervalfortheevendegree ;ofaoanimalpopulationwasfulfilledindirectlybyanalysingthereciprocalofthec.efficient ;ofvariation-Fromthesethesamplesizewhichisusedinmeasurementofc0efficient0fvarla

    ;tionca?beestimated.

    ;UndertheconditionsofgivenmeasurementerrorLof/SandCOnfidencederee1a,

    ;thesamplesizenusedindeterminationofcoefficientofvariationsatisfiestheappr.ximat ;e

    ;?for

    ;mula[u/L]z,thecauseI詈一导l?—L.

    ;Example2-Determinatingtheweightevendegreeof20weeksoldmeathenp0pu1ati.n0fpar ;entgeneratlon-AccordingtOtheexpectationvalued/=9.9(YangShah1995),ifweh.De ;thatthemeasurementerrorofthecorrespondencecoefficientofvariationisnot ;greaterthan

    ;,! ”hme.remnterr0rheeciprocal.fthec?

    ;V?is:L一百一1

    ;

    ;?16O?JournalofNorthe~tAgricuLturaLUniversityVolS

    ;=0.200.Ifwetaked0.05,thenU=1.96.thereforebytheapproximate[ormula,thesam- ;plesizec.msp0ndingt.the9S%c0nfidenc:n(]96.

    ;3Discussionsandconclusion

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