Chapter5Statisticalindexnumber

StatisticsinPracticeSTATStatisticsinPracticeCoupleofyearsago,afilmcalledDon’tbothermeafterdivorcedbecamequitefamous,bothwiththetopicandacting.InJan.2003,therewasanewsonthesocialnewspageofanewspaper,whichtitledStillgettoyouafterdivorced.Thenewswasabouttherisingfeeofasingle-parentchildreninadivorcefamily.Inthenews,Mr.FuandMs.ZhangdivorcedinNov.1986.Afterthedivorce,thechildwastolivewiththemother.Thefatherwasjudgedtopayaalimonyof17Yuaneverymonth.Butafterwards,becauseoftheinflation,thelifeoftheplaintiffgetsharder.Hencethrough4suitsin1990,1994,1995and1996,thealimonywasrisento30,50,70and90Yuan.Fromastatisticalpointofview,whatmethoddidthejudgeusedwhenredeterminingthealimony?StatisticsinPracticeSTATToday,notonlyalimonyfordivorcedcouples,butalsopensionfortheretired;thedeterminationofcorruption;thestandardofsocialsecuritysubsidy;thestartingpointofpersonalincometaxandthepaymentofdebtsareusingthemethodsofindexation.Throughthelearningofthischapter,wecanunderstandthemeaningandthecalculationofstatisticalindices,andthewayofexplainingthequantitieschangesineconomicproblemswiththemethodofindexanalysis.0204060801001201401978198519901995199719992001RPI（％）CPI（％）Chapter5StatisticalindexSTATKeypoints1.Theconceptsandtypesofindexnumbers（P723）;2.Thecompilingofindexnumbers;3.Theindexsystemsandfactoranalysis;4.Someindexnumbersinpractice。Difficulties1.Theprinciplesinthemakingqualitativeindex（质量指标指数）andquantitativeindex（数量指标指数）;2.Thedifferencebetweenaggregativeindexnumber（总指数）,meanindex（平均数指数）andindexnumbersofaverageindicator（平均指标指数）.Chapter5StatisticalindexSTATSection1Theconceptsandtypesofindex1.Theconceptsofindexnumbers（P723）1)Theoriginofindexnumber:AstatisticalanalysismethodfirstdevelopedbyanEnglishmannamedRiceVoughanin1650.[Example]17091710Breadprice：1penny/piece1.21.2/1=120%2)Indexnumberinbroadsense（广义指数）:Therelativenumbersthatshowsthenumericchangesofphenomenon.(1)Initially“Dynamicchange”;(2)Afterwards“Spacechange”；ABPopulation(2005)10080100/80=125%Chapter5StatisticalindexSTAT3)Indexnumberinnarrowsense:Therelativenumbersthatshowsthenumericchangesofthepopulationofcomplexphenomenon.Salesofastore：Q0(2003)Q1(2004)TV(set)12000150001.5/1.2=125%Slipper(pair)50000400004/5=80%Robust(bottle)20000030000030/20=150%(1)QuantityIndicator(sales)(2)Changes:BaseperiodReportperiod;(3)RelativenumberDevelopmentspeed:Toreflectthedirectionanddegreeofthenumericchangesofphenomenon.01Populationqq01Elementqq%11.1352052.13045.1Chapter5StatisticalindexSTAT2.Typesofindexnumbers1)Basedontherange(1)IndividualIndex（个体指数）onsoandGroceryetc.Wheat,etcrice,Jing1.2p,1p:2No.45q50,q:1No.riceXianRiceRefinedCoarseGrainFood1010indexpricesale%12012.101IndividualppkpqkindexquantitysaleIndividual01qq%905045Chapter5StatisticalindexSTAT(2)Totalindexnumber（总体指数→总指数）※quantitysaleofnumberindex01TotalqqKq(3)Classindexnumber（类指数）Populationofatypeofphenomenon[Example]ThesalesofashoppingmallPriceSalequantityTypesofitemsp0p1q0q1GreaseFruitsBeverageCosmetics2.22.00.6525.01.61.80.7226.54520556050305059pricesaleofnumberindex01TotalppKpChapter5StatisticalindexSTAT2)Basedonthetypeofindicator※(1)Quantitativeindex（数量指标指数）q0101TotalIndividualqqKqqkqq0101TotalIndividualppKppkpp(2)Qualitativeindex（质量指标指数）p3)Basedonthedifferenttimeandstatus.(1)Dynamicindex（动态指数）Developmentspeed;(2)Staticindex（静态指数）PChina/PU.S=4Yuan/dollar=PPP.4)Basedonthecalculationmethod,TotalindexnumberAggregateindexnumber（综合指数）,meanindexnumber（平均数指数）.Chapter5StatisticalindexSTATSection2Aggregateindexnumbers※1.Definition:Firstaggregate,thencompareTotalindexnumber.2.Making(P723)1)Totalchangeindexnumber（总变动指数）;2)Quantitativeindex（数量指标指数）;3)Qualitativeindex（质量指标指数）;[Example]3kindofitemsinasupermarket.PriceQuantityItemp0p1q0q1kp=p1/p0(%)kq=q1/q0(%)OnionTomatoPotato2.22.00.651.61.80.7245205550305072.7390110.77111.1115090.91Chapter5StatisticalindexSTAT(1)Thetotaldegreeandthesumofchangeofsalesofthesethreegoods;[Analysis]Changeofthesalesof1item:p0q0p1q1；Changeofthesalesof3items:p0q0p1q1；[Example]3kindofitemsinasupermarket.Itemp0p1q0q1kp(%)kq(%)OnionTomatoPotato2.22.00.651.61.80.7245205550305072.7390110.77111.1115090.91pqKqpqp0011changeofDegreepqqpqp0011changeofSumChapter5StatisticalindexSTAT3.Totalchangeindexnumber（总变动指数）75.475.1741700011qpqppq[Example]3kindofitemsinasupermarket:Itemp0p1q0q1kp(%)kq(%)OnionTomatoPotato2.22.00.651.61.80.7245205550305072.7390110.77111.1115090.91Calculatethetotaldegreeandthesumofchangeofsalesforthe3goods.indextotalSalesMethod:Firstaggregate,thencompareAggregativeindexnumber（compositeindex，综合指数）.pqK0011qpqp%28.9775.174170Chapter5StatisticalindexSTAT(2)Calculatethedegreeofchangesofsalequantityforthe3goodsandthesuminfluencedbythosechanges.[Analysis]Sales(pq)=Salequantity(q)saleprice(p)Thechangeofsalequantityforthe3goods:q0q1;qofchangetheofbecausepqofchangeTheinfluencedSumqKqq01changeofDegree[Example]3kindofitemsinasupermarket:Itemp0p1q0q1kp(%)kq(%)OnionTomatoPotato2.22.00.651.61.80.7