Empirical likelihood inference and goodness-of-fit test for logistic regression model under two-phase case-control sampling  

作　　者：Zhen Sheng Yukun Liu Jing Qin 

机构地区：[1]KLATASDS-MOE,schoolof stslis,East China Normal Univers ty shanghal,People's Republc of China [2]National Iotute of Alergy and Ifectious Dieases National Isttuts of Health,Bethesda,MD,USA

出　　处：《Statistical Theory and Related Fields》2022年第4期265-276,共12页统计理论及其应用（英文）

基　　金：The research was supported by theNationalNatural Science Foundation of China[grant number 11771144];the State Key Program of National Natural Science Foundation of China[grant number 71931004],[grant number 32030063];the development fund for Shanghai talents,and the 111 project(B14019).

摘　　要：Due tocost effectiveness and hIgh efidengy.two-phase Qse control sampling has been wldely used In epldemlology studles.We dewelop a seml-parametric empinial lkellood approach to two-phase ase-control data under the logst regresslon model.we show that the maxmum empintal lklhoo estimaton has an aymptotically nomal dstibutlon,n,and the empincal lke-lthood ratlo fllws an aymptotcallycentral chi-square dstibution We find that the maxdmum empintial lkellhood estimator Is equal to Breslow and Holubkow(1997175 madimum lkelhood estimator.Evenso,the lmting dstribution of the lkelhood ratio,helhlodratlo based interval,and test are all new.Futhemmiore,we construct new Kolmogorov-smimnov type godnes-F-fit tests to test the vlldation of the undertying lglstic rgressonmodelLour simulation results and a real pplcaion show that the lola based Interval and test hawe certain mentsowver the wald-type counterparts and that the proposed godness-f-f test Is vald.

关 键 词：BOOTSTRAP case-control data empirical likelihood goodness-of-fit test two-phase case-control sampling 

分 类 号：O35[理学—流体力学]