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Feng Y, Prasangika KD, Zuo G. Regression analysis of multivariate current status data under a varying coefficients additive hazards frailty model. CAN J STAT 2022. [DOI: 10.1002/cjs.11689] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/05/2022]
Affiliation(s)
- Yanqin Feng
- School of Mathematics and Statistics Wuhan University Wuhan China
| | | | - Guoxin Zuo
- School of Mathematics and Statistics Central China Normal University Wuhan China
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Affiliation(s)
- Yanqin Feng
- School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, China
| | - Shurong Lin
- School of Mathematics and Statistics, Wuhan University, Wuhan, Hubei, China
| | - Yang Li
- Department of Mathematics and Statistics, The University of North Carolina at Charlotte, Charlotte, North Carolina, United States
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Chen L, Feng Y, Sun J. A Class of Additive Transformation Models for Recurrent Gap Times. COMMUN STAT-THEOR M 2019; 49:4030-4045. [PMID: 33767526 PMCID: PMC7990084 DOI: 10.1080/03610926.2019.1594299] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/23/2018] [Accepted: 03/07/2019] [Indexed: 10/27/2022]
Abstract
The gap time between recurrent events is often of primary interest in many fields such as medical studies (Cook and Lawless 2007; Kang, Sun, and Zhao 2015; Schaubel and Cai 2004), and in this paper, we discuss regression analysis of the gap times arising from a general class of additive transformation models. For the problem, we propose two estimation procedures, the modified within-cluster resampling (MWCR) method and the weighted risk-set (WRS) method, and the proposed estimators are shown to be consistent and asymptotically follow the normal distribution. In particular, the estimators have closed forms and can be easily determined, and the methods have the advantage of leaving the correlation among gap times arbitrary. A simulation study is conducted for assessing the finite sample performance of the presented methods and suggests that they work well in practical situations. Also the methods are applied to a set of real data from a chronic granulomatous disease (CGD) clinical trial.
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Affiliation(s)
- Ling Chen
- Division of Biostatistics, Washington University School of Medicine, Campus Box 8067, 660 S. Euclid Ave, St. Louis, MO 63110, U.S.A
| | - Yanqin Feng
- School of Mathematics and Statistics, Wuhan University, Wuhan 430072, China
| | - Jianguo Sun
- Department of Statistics, University of Missouri, 146 Middlebush Hall, Columbia, MO 65211, U.S.A
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Chen L, Feng Y, Sun J. Regression analysis of clustered failure time data with informative cluster size under the additive transformation models. LIFETIME DATA ANALYSIS 2017; 23:651-670. [PMID: 27761797 DOI: 10.1007/s10985-016-9384-x] [Citation(s) in RCA: 4] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/02/2015] [Accepted: 10/12/2016] [Indexed: 06/06/2023]
Abstract
This paper discusses regression analysis of clustered failure time data, which occur when the failure times of interest are collected from clusters. In particular, we consider the situation where the correlated failure times of interest may be related to cluster sizes. For inference, we present two estimation procedures, the weighted estimating equation-based method and the within-cluster resampling-based method, when the correlated failure times of interest arise from a class of additive transformation models. The former makes use of the inverse of cluster sizes as weights in the estimating equations, while the latter can be easily implemented by using the existing software packages for right-censored failure time data. An extensive simulation study is conducted and indicates that the proposed approaches work well in both the situations with and without informative cluster size. They are applied to a dental study that motivated this study.
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Affiliation(s)
- Ling Chen
- Division of Biostatistics, Washington University School of Medicine, Campus Box 8067, 660 S. Euclid Ave, St. Louis, MO, 63110, USA.
| | - Yanqin Feng
- School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China
- Computational Science Hubei Key Laboratory, Wuhan University, Wuhan, 430072, China
| | - Jianguo Sun
- Department of Statistics, University of Missouri, 146 Middlebush Hall, Columbia, MO, 65211, USA
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Shen PS. Additive Transformation Models for Clustered Doubly Censored Data. COMMUN STAT-SIMUL C 2015. [DOI: 10.1080/03610918.2013.835405] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/25/2022]
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Shen PS. Additive Transformation Models for Multivariate Interval-Censored Data. COMMUN STAT-THEOR M 2015. [DOI: 10.1080/03610926.2012.762398] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/26/2022]
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He K, Schaubel DE. Semiparametric methods for center effect measures based on the ratio of survival functions. LIFETIME DATA ANALYSIS 2014; 20:619-644. [PMID: 24577567 PMCID: PMC4190619 DOI: 10.1007/s10985-014-9293-9] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 10/24/2012] [Accepted: 02/10/2014] [Indexed: 06/03/2023]
Abstract
The survival function is often of chief interest in epidemiologic studies of time to an event. We develop methods for evaluating center-specific survival outcomes through a ratio of survival functions. The proposed method assumes a center-stratified additive hazards model, which provides a convenient framework for our purposes. Under the proposed methods, the center effects measure is cast as the ratio of subject-specific survival functions under two scenarios: the scenario in which the subject is treated at center [Formula: see text]; and that wherein the subject is treated at a hypothetical center with survival function equal to the population average. The proposed measure reduces to the ratio of baseline survival functions, but is invariant to the choice of baseline covariate level. We derive the asymptotic properties of the proposed estimators, and assess finite-sample characteristics through simulation. The proposed methods are applied to national kidney transplant data.
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Affiliation(s)
- Kevin He
- Department of Biostatistics, University of Michigan, 1420 Washington Hts., Ann Arbor, MI, 48109-2029, phone: (734)709-6355
| | - Douglas E. Schaubel
- Department of Biostatistics, University of Michigan, 1420 Washington Hts., Ann Arbor, MI, 48109-2029, phone: (734)395-5992
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Malm H, Artama M, Brown AS, Gissler M, Gyllenberg D, Hinkka-Yli-Salomäki S, McKeague I, Sourander A. Infant and childhood neurodevelopmental outcomes following prenatal exposure to selective serotonin reuptake inhibitors: overview and design of a Finnish Register-Based Study (FinESSI). BMC Psychiatry 2012; 12:217. [PMID: 23206294 PMCID: PMC3564781 DOI: 10.1186/1471-244x-12-217] [Citation(s) in RCA: 15] [Impact Index Per Article: 1.2] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 07/11/2012] [Accepted: 11/29/2012] [Indexed: 11/30/2022] Open
Abstract
BACKGROUND Experimental animal studies and one population-based study have suggested an increased risk for adverse neurodevelopmental outcome after prenatal exposure to SSRIs. We describe the methods and design of a population-based study examining the association between prenatal SSRI exposure and neurodevelopment until age 14. METHODS AND DESIGN This is a cohort study of national registers in Finland: the Medical Birth Register, the Register of Congenital Malformations, the Hospital Discharge Register including inpatient and outpatient data, the Drug Reimbursement Register, and the Population Register. The total study population includes 845,345 women and their live-born, singleton offspring aged 14 or younger and born during Jan 1st 1996-Dec 31st 2010. We will compare the prevalence of psychiatric and neurodevelopmental outcomes in offspring exposed prenatally to SSRIs to offspring exposed to prenatal depression and unexposed to SSRIs. Associations between exposure and outcome are assessed by statistical methods including specific modeling to account for correlated outcomes within families and differences in duration of follow-up between the exposure groups. Descriptive results. Of all pregnant women with pregnancy ending in delivery (n=859,359), 1.9% used SSRIs. The prevalence of diagnosed depression and depression-related psychiatric disorders within one year before or during pregnancy was 1.7%. The cumulative incidence of registered psychiatric or neurodevelopmental disorders was 6.9% in 2010 among all offspring born during the study period (age range 0-14 years). DISCUSSION The study has the potential for significant public health importance in providing information on prenatal exposure to SSRIs and long-term neurodevelopment.
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Affiliation(s)
- Heli Malm
- Teratology Information, HUSLAB and Helsinki University Central Hospital, Tukholmankatu 17, P.O. BOX 790, 00029 HUS, Helsinki, Finland
- Department of Clinical Pharmacology, Helsinki University and Helsinki University Central Hospital, Helsinki, Finland
- Department of Child Psychiatry, University of Turku, Turku, Finland
| | - Miia Artama
- Department of Child Psychiatry, University of Turku, Turku, Finland
- National Institute for Health and Welfare, Helsinki, Finland
| | - Alan S Brown
- Department of Psychiatry, Columbia University College of Physicians and Surgeons, New York State Psychiatric Institute, New York, NY, USA
- Department of Epidemiology, Columbia University, Mailman School of Public Health, New York, NY, USA
| | - Mika Gissler
- Department of Child Psychiatry, University of Turku, Turku, Finland
- National Institute for Health and Welfare, Helsinki, Finland
- Nordic School of Public Health, Gothenburg, Sweden
| | - David Gyllenberg
- Department of Child Psychiatry, University of Turku, Turku, Finland
- Department of Child Psychiatry, University of Helsinki, Helsinki, Finland
| | | | - Ian McKeague
- Mailman School of Public Health, Department of Biostatistics, Columbia University College of Physicians and Surgeons, New York, NY, USA
| | - Andre Sourander
- Department of Child Psychiatry, University of Turku, Turku, Finland
- Department of Psychiatry, Columbia University College of Physicians and Surgeons, New York State Psychiatric Institute, New York, NY, USA
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