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1、JournalofSoftwareAProcedureforComputingOptimalStratumBoundariesandSampleSizesforMultivariateSurveysKarunaG.Reddy*,MohammedG.M.Khan,DineshK.RaoSchoolofComputing,InformationandMathematicalSciences,TheUniversityofSouthPacific,Suva,Fiji.*Correspondingauthor.Tel.:+67
2、93232194;email:reddy_k@usp.ac.fjManuscriptsubmittedJanuary13,2016;acceptedMarch20,2016.doi:10.17706/jsw.11.8.816-832Abstract:Inmostsurveys,thetargetvariables(itemsofinterest)commonlyresembleright-skeweddistributionswheretheStratifiedRandomSamplingtechniqueisused
3、asamethodofsamplingandestimation.Themethodologyofconstructingstrataiscalledstratification.Overaparticularcharacteristicchosenasthestratificationvariable(suchasgender,geographicalregion,ethnicity,oranynaturalcriteria),thesurveymayfailtoformhomogeneousstrata-thisw
4、ouldimpacttheprecisionintheestimatesofthetargetvariables.Stratificationcanleadtosubstantialimprovementsintheprecisionofsampleestimators,whichnotonlydependsonthesamplesize,butalsoontheheterogeneityamongtheunitsofthepopulation.Theprincipalreasonforstratificationin
5、thedesignofsamplesurveysistoreducethevarianceofsampleestimates.Surveysnormallyhavemorethanonetargetvariablewithseveralvariablesbothavailableanddesirableforstratification.Stratificationinsuchmultivariatesituationshasnotbeenexploredtoagreatdealliketheunivariatecas
6、eandrequiresalgorithmstodetermineefficientstratumboundaries.Thispapertakesintoconsiderationmultiplesurveyvariablesandattemptstopresentacomputationalproceduretoconstructoptimalstratumboundaries(OSB)usingDynamicProgramming(DP)technique.Anumericalexampletodetermine
7、theOSBfortwomainvariablesunderstudyisalsopresented.Keywords:Multivariatesamplesurveys,optimumstratumboundaries(OSB),mathematicalprogrammingproblem(MPP),dynamicprogrammingtechnique(DP).1.IntroductionStratifiedSamplingisanimportantsamplingtechniqueusedinsurveysina
8、lmostallfields,beitbusiness,economic,socialsciencesorhealth.Sociologyandothersciencesarrangeindividualsintosocialstratausingdemographicandsocio-economicfactorstoexplo