资源描述：
《Springer.Nolan.Speed.Stat.Labs.Mathematical.Statistics.Through.Applications.(Springer.2000)》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。
1、ToBenandSammyD.N.ToSallyT.P.SThispageintentionallyleftblankPrefaceThisbookusesamodelwehavedevelopedforteachingmathematicalstatisticsthroughin-depthcasestudies.Traditionalstatisticstextshavemanysmallnumer-icalexamplesineachchaptertoillustrateatopicinstatisticaltheory.Here,wein
2、steadmakeacasestudythecenterpieceofeachchapter.Thecasestudies,whichwecalllabs,raiseinterestingscientificquestions,andfiguringouthowtoansweraquestionisthestartingpointfordevelopingstatisticaltheory.Thelabsaresubstan-tialexercises;theyhavenontrivialsolutionsthatleaveroomfordiffer
3、entanalysesofthedata.Inadditiontoprovidingtheframeworkandmotivationforstudyingtopicsinmathematicalstatistics,thelabshelpstudentsdevelopstatisticalthinking.Wefeelthatthisapproachintegratestheoreticalandappliedstatisticsinawaynotcommonlyencounteredinanundergraduatetext.TheStude
4、ntThebookisintendedforacourseinmathematicalstatisticsforjuniorsandseniors.Weassumethatstudentshavehadoneyearofcalculus,includingTaylorseries,andacourseinprobability.Wedonotassumestudentshaveexperiencewithstatisticalsoftwaresoweincorporatelessonsintoourcourseonhowtousethesoftw
5、are.TheoreticalContentThetopicscommontomostmathematicalstatisticstextscanbefoundinthisbook,including:descriptivestatistics,experimentaldesign,sampling,estimation,viiiPrefacetesting,contingencytables,regression,simplelinearleastsquares,analysisofvari-ance,andmultiplelinearleas
6、tsquares.Alsofoundherearemanyselectedtopics,suchasquantileplots,thebootstrap,replicatemeasurements,inverseregression,ecologicalregression,unbalanceddesigns,andresponsesurfaceanalysis.Thisbookdiffersfromastandardmathematicalstatisticstextinthreeessentialways.Thefirstwayisinhowt
7、hetopicoftestingiscovered.Althoughweaddresstestinginseveralchaptersanddiscussthez,t,andFtestsaswellaschi-squaretestsofindependenceandhomogeneity,Fishersexacttest,Mantel-Haenszeltest,andthechi-squaregoodnessoffittest,wedonotcoverallofthespecialcasesoftteststhataretypicallyfound
8、inmathematicalstatisticstexts.Wealsodonotcovernonparametrictests.Ins
