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Statistical Methods for Analyzing Interval-Censored Multi-State Data- [electronic resource]
Statistical Methods for Analyzing Interval-Censored Multi-State Data - [electronic resourc...
Statistical Methods for Analyzing Interval-Censored Multi-State Data- [electronic resource]

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자료유형  
 학위논문파일 국외
최종처리일시  
20240214101233
ISBN  
9798380133081
DDC  
574
저자명  
Gu, Yu.
서명/저자  
Statistical Methods for Analyzing Interval-Censored Multi-State Data - [electronic resource]
발행사항  
[S.l.]: : The University of North Carolina at Chapel Hill., 2023
발행사항  
Ann Arbor : : ProQuest Dissertations & Theses,, 2023
형태사항  
1 online resource(174 p.)
주기사항  
Source: Dissertations Abstracts International, Volume: 85-02, Section: B.
주기사항  
Advisor: Lin, Danyu;Zeng, Donglin.
학위논문주기  
Thesis (Ph.D.)--The University of North Carolina at Chapel Hill, 2023.
사용제한주기  
This item must not be sold to any third party vendors.
초록/해제  
요약Interval-censored multi-state data are commonly encountered in studies of chronic diseases, where a subject's health status is characterized by a finite number of disease states and transitions between states are only known to occur within broad time intervals. The fact that none of the transition times are directly observed makes regression analysis extremely challenging, both theoretically and computationally. This dissertation develops novel statistical methods for interval-censored multi-state data analysis in three projects.In the first project, we provide a new framework based on semiparametric proportional intensity models to analyze general interval-censored multi-state data. We adopt nonparametric maximum likelihood estimation (NPMLE) and develop a stable EM algorithm based on latent Poisson random variables. We establish a rigorous asymptotic theory for the resulting estimators and demonstrate the satisfactory performance of the proposed inference procedures through extensive simulation studies. Finally, we apply these methods to the Atherosclerosis Risk in Communities study.The second project extends the first project by incorporating an absorbing state, whose entry time is exactly known or right-censored, while the transient state at the previous instant remains unknown. We combine NPMLE with sieve estimation for inference and devise a stable EM algorithm for computation. We establish the asymptotic properties of the proposed estimators using novel theoretical arguments. Furthermore, we perform dynamic prediction of future disease process based on the evolving process history. Finally, we assess the performance of the proposed methods through simulation studies and illustrate their application using the cardiac allograft vasculopathy data.In the third project, we introduce a novel framework based on transition models with random effects for assessing treatment effects in COVID-19 phase-3 clinical trials. Our models estimate treatment effects on the odds of transitions between severity categories, using the entire clinical course without the need for missing data imputation. We discuss flexible model parameterizations for various applications. We also demonstrate how fitted transition models can be integrated with G-computation to examine complex endpoints and increase the power for detecting treatment effects. Finally, we evaluate the proposed methods through simulation studies and apply them to data from the Adaptive COVID-19 Treatment Trial.
일반주제명  
Biostatistics.
일반주제명  
Statistics.
일반주제명  
Public health.
키워드  
EM algorithm
키워드  
Interval-censored multi-state data
키워드  
Nonparametric likelihood
키워드  
Random effects
키워드  
Semiparametric inference
키워드  
Time-dependent covariates
기타저자  
The University of North Carolina at Chapel Hill Biostatistics
기본자료저록  
Dissertations Abstracts International. 85-02B.
기본자료저록  
Dissertation Abstract International
전자적 위치 및 접속  
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MARC

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■040    ▼aMiAaPQ▼cMiAaPQ
■0820  ▼a574
■1001  ▼aGu,  Yu.
■24510▼aStatistical  Methods  for  Analyzing  Interval-Censored  Multi-State  Data▼h[electronic  resource]
■260    ▼a[S.l.]:▼bThe  University  of  North  Carolina  at  Chapel  Hill.  ▼c2023
■260  1▼aAnn  Arbor  :▼bProQuest  Dissertations  &  Theses,  ▼c2023
■300    ▼a1  online  resource(174  p.)
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  85-02,  Section:  B.
■500    ▼aAdvisor:  Lin,  Danyu;Zeng,  Donglin.
■5021  ▼aThesis  (Ph.D.)--The  University  of  North  Carolina  at  Chapel  Hill,  2023.
■506    ▼aThis  item  must  not  be  sold  to  any  third  party  vendors.
■520    ▼aInterval-censored  multi-state  data  are  commonly  encountered  in  studies  of  chronic  diseases,  where  a  subject's  health  status  is  characterized  by  a  finite  number  of  disease  states  and  transitions  between  states  are  only  known  to  occur  within  broad  time  intervals.  The  fact  that  none  of  the  transition  times  are  directly  observed  makes  regression  analysis  extremely  challenging,  both  theoretically  and  computationally.  This  dissertation  develops  novel  statistical  methods  for  interval-censored  multi-state  data  analysis  in  three  projects.In  the  first  project,  we  provide  a  new  framework  based  on  semiparametric  proportional  intensity  models  to  analyze  general  interval-censored  multi-state  data.  We  adopt  nonparametric  maximum  likelihood  estimation  (NPMLE)  and  develop  a  stable  EM  algorithm  based  on  latent  Poisson  random  variables.  We  establish  a  rigorous  asymptotic  theory  for  the  resulting  estimators  and  demonstrate  the  satisfactory  performance  of  the  proposed  inference  procedures  through  extensive  simulation  studies.  Finally,  we  apply  these  methods  to  the  Atherosclerosis  Risk  in  Communities  study.The  second  project  extends  the  first  project  by  incorporating  an  absorbing  state,  whose  entry  time  is  exactly  known  or  right-censored,  while  the  transient  state  at  the  previous  instant  remains  unknown.  We  combine  NPMLE  with  sieve  estimation  for  inference  and  devise  a  stable  EM  algorithm  for  computation.  We  establish  the  asymptotic  properties  of  the  proposed  estimators  using  novel  theoretical  arguments.  Furthermore,  we  perform  dynamic  prediction  of  future  disease  process  based  on  the  evolving  process  history.  Finally,  we  assess  the  performance  of  the  proposed  methods  through  simulation  studies  and  illustrate  their  application  using  the  cardiac  allograft  vasculopathy  data.In  the  third  project,  we  introduce  a  novel  framework  based  on  transition  models  with  random  effects  for  assessing  treatment  effects  in  COVID-19  phase-3  clinical  trials.  Our  models  estimate  treatment  effects  on  the  odds  of  transitions  between  severity  categories,  using  the  entire  clinical  course  without  the  need  for  missing  data  imputation.  We  discuss  flexible  model  parameterizations  for  various  applications.  We  also  demonstrate  how  fitted  transition  models  can  be  integrated  with  G-computation  to  examine  complex  endpoints  and  increase  the  power  for  detecting  treatment  effects.  Finally,  we  evaluate  the  proposed  methods  through  simulation  studies  and  apply  them  to  data  from  the  Adaptive  COVID-19  Treatment  Trial.
■590    ▼aSchool  code:  0153.
■650  4▼aBiostatistics.
■650  4▼aStatistics.
■650  4▼aPublic  health.
■653    ▼aEM  algorithm
■653    ▼aInterval-censored  multi-state  data
■653    ▼aNonparametric  likelihood
■653    ▼aRandom  effects
■653    ▼aSemiparametric  inference
■653    ▼aTime-dependent  covariates
■690    ▼a0308
■690    ▼a0463
■690    ▼a0573
■71020▼aThe  University  of  North  Carolina  at  Chapel  Hill▼bBiostatistics.
■7730  ▼tDissertations  Abstracts  International▼g85-02B.
■773    ▼tDissertation  Abstract  International
■790    ▼a0153
■791    ▼aPh.D.
■792    ▼a2023
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T16933330▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.
■980    ▼a202402▼f2024

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