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de Jong VM, Moons KG, Riley RD, Tudur Smith C, Marson AG, Eijkemans MJ, Debray TP. Individual participant data meta-analysis of intervention studies with time-to-event outcomes: A review of the methodology and an applied example. Res Synth Methods 2020; 11:148-168. [PMID: 31759339 PMCID: PMC7079159 DOI: 10.1002/jrsm.1384] [Citation(s) in RCA: 51] [Impact Index Per Article: 12.8] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/04/2019] [Revised: 10/23/2019] [Accepted: 10/24/2019] [Indexed: 12/14/2022]
Abstract
Many randomized trials evaluate an intervention effect on time-to-event outcomes. Individual participant data (IPD) from such trials can be obtained and combined in a so-called IPD meta-analysis (IPD-MA), to summarize the overall intervention effect. We performed a narrative literature review to provide an overview of methods for conducting an IPD-MA of randomized intervention studies with a time-to-event outcome. We focused on identifying good methodological practice for modeling frailty of trial participants across trials, modeling heterogeneity of intervention effects, choosing appropriate association measures, dealing with (trial differences in) censoring and follow-up times, and addressing time-varying intervention effects and effect modification (interactions).We discuss how to achieve this using parametric and semi-parametric methods, and describe how to implement these in a one-stage or two-stage IPD-MA framework. We recommend exploring heterogeneity of the effect(s) through interaction and non-linear effects. Random effects should be applied to account for residual heterogeneity of the intervention effect. We provide further recommendations, many of which specific to IPD-MA of time-to-event data from randomized trials examining an intervention effect.We illustrate several key methods in a real IPD-MA, where IPD of 1225 participants from 5 randomized clinical trials were combined to compare the effects of Carbamazepine and Valproate on the incidence of epileptic seizures.
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Affiliation(s)
- Valentijn M.T. de Jong
- Julius Center for Health Sciences and Primary CareUniversity Medical Center Utrecht, Utrecht UniversityUtrechtthe Netherlands
| | - Karel G.M. Moons
- Julius Center for Health Sciences and Primary CareUniversity Medical Center Utrecht, Utrecht UniversityUtrechtthe Netherlands
- Cochrane Netherlands, Julius Center for Health Sciences and Primary CareUniversity Medical Center Utrecht, Utrecht UniversityUtrechtthe Netherlands
| | - Richard D. Riley
- Centre for Prognosis Research, Research Institute for Primary Care and Health Sciences, Keele UniversityStaffordshireUK
| | | | - Anthony G. Marson
- Department of Molecular and Clinical PharmacologyUniversity of LiverpoolLiverpoolUK
| | - Marinus J.C. Eijkemans
- Julius Center for Health Sciences and Primary CareUniversity Medical Center Utrecht, Utrecht UniversityUtrechtthe Netherlands
| | - Thomas P.A. Debray
- Julius Center for Health Sciences and Primary CareUniversity Medical Center Utrecht, Utrecht UniversityUtrechtthe Netherlands
- Cochrane Netherlands, Julius Center for Health Sciences and Primary CareUniversity Medical Center Utrecht, Utrecht UniversityUtrechtthe Netherlands
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Naranjo L, Pérez CJ, Martín J, Mutsvari T, Lesaffre E. A Bayesian approach for misclassified ordinal response data. J Appl Stat 2019. [DOI: 10.1080/02664763.2019.1582613] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/27/2022]
Affiliation(s)
- Lizbeth Naranjo
- Departamento de Matemáticas, Facultad de Ciencias, Universidad Nacional Autónoma de México (UNAM), México D.F., Mexico
| | - Carlos J. Pérez
- Departamento de Matemáticas, Facultad de Ciencias, Universidad de Extremadura, Badajoz, Spain
| | - Jacinto Martín
- Departamento de Matemáticas, Facultad de Ciencias, Universidad de Extremadura, Badajoz, Spain
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Wang J, Luo S. Bayesian multivariate augmented Beta rectangular regression models for patient-reported outcomes and survival data. Stat Methods Med Res 2017; 26:1684-1699. [PMID: 26037528 PMCID: PMC4457342 DOI: 10.1177/0962280215586010] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.1] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/17/2022]
Abstract
Many longitudinal studies (e.g. observational studies and randomized clinical trials) have collected multiple rating scales at each visit in the form of patient-reported outcomes (PROs) in the close unit interval [0 ,1]. We propose a joint modeling framework to address the issues from the following data features: (1) multiple correlated PROs; (2) the presence of the boundary values of zeros and ones; (3) extreme outliers and heavy tails; (4) the PRO-dependent terminal events such as death and dropout. Our modeling framework consists of a multivariate augmented mixed-effects sub-model based on Beta rectangular distributions for the multiple longitudinal outcomes and a Cox model for the terminal events. The simulation studies suggest that in the presence of outliers, heavy tails, and dependent terminal event, our proposed models provide more accurate parameter estimates than the joint model based on Beta distributions. The proposed models are applied to the motivating Long-term Study-1 (LS-1 study, n = 1741) of Parkinson's disease patients.
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Affiliation(s)
| | - Sheng Luo
- Corresponding author: Sheng Luo is Assistant Professor, Department of Biostatistics, The University of Texas Health Science Center at Houston, 1200 Pressler St, Houston, TX 77030, USA (; Phone: 713-500-9554)
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The Portion of Health Care Costs Associated With Lifestyle-Related Modifiable Health Risks Based on a Sample of 223,461 Employees in Seven Industries: The UM-HMRC Study. J Occup Environ Med 2016; 57:1284-90. [PMID: 26641823 DOI: 10.1097/jom.0000000000000600] [Citation(s) in RCA: 11] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/25/2022]
Abstract
OBJECTIVE This study estimates the percent of health care costs associated with employees' modifiable health risks. METHODS Cross-sectional multivariate analysis of 223,461 employees from seven industries who completed a health risk assessment during 2007 to 2012. RESULTS Modifiable health risks were associated with 26.0% of health care costs ($761/person) among employees with no self-reported medical conditions and 25.4% among employees with a medical condition ($2598/person). The prevalence and relative costs of each of the 10 risks were different for those without and with medical conditions, but high body mass index was the most prevalent risk for both groups (41.0% and 63.9%) and also contributed the largest percentage of excess costs (7.2% and 7.3%). CONCLUSIONS This study, coupled with past work, gives an employer a sense of the magnitude that might be saved if modifiable health risks could be eliminated.
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Ning J, Rahbar MH, Choi S, Hong C, Piao J, del Junco DJ, Fox EE, Rahbar E, Holcomb JB. A joint latent class analysis for adjusting survival bias with application to a trauma transfusion study. Stat Med 2016; 35:65-77. [PMID: 26256455 DOI: 10.1002/sim.6615] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.1] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/11/2015] [Revised: 07/15/2015] [Accepted: 07/16/2015] [Indexed: 11/10/2022]
Abstract
There is no clear classification rule to rapidly identify trauma patients who are severely hemorrhaging and may need substantial blood transfusions. Massive transfusion (MT), defined as the transfusion of at least 10 units of red blood cells within 24 h of hospital admission, has served as a conventional surrogate that has been used to develop early predictive algorithms and establish criteria for ordering an MT protocol from the blood bank. However, the conventional MT rule is a poor proxy, because it is likely to misclassify many severely hemorrhaging trauma patients as they could die before receiving the 10th red blood cells transfusion. In this article, we propose to use a latent class model to obtain a more accurate and complete metric in the presence of early death. Our new approach incorporates baseline patient information from the time of hospital admission, by combining respective models for survival time and usage of blood products transfused within the framework of latent class analysis. To account for statistical challenges, caused by induced dependent censoring inherent in 24-h sums of transfusions, we propose to estimate an improved standard via a pseudo-likelihood function using an expectation-maximization algorithm with the inverse weighting principle. We evaluated the performance of our new standard in simulation studies and compared with the conventional MT definition using actual patient data from the Prospective Observational Multicenter Major Trauma Transfusion study. Copyright © 2015 John Wiley & Sons, Ltd.
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Affiliation(s)
- Jing Ning
- Department of Biostatistics, The University of Texas MD Anderson Cancer Center, TX, Houston, U.S.A
| | - Mohammad H Rahbar
- Division of Clinical and Translational Sciences, Department of Internal Medicine, The University of Texas Medical School at Houston, Houston, TX, U.S.A.,Division of Epidemiology, Human Genetics and Environmental Sciences, School of Public Health, The University of Texas Health Sciences Center at Houston, Houston, TX, U.S.A
| | - Sangbum Choi
- Division of Clinical and Translational Sciences, Department of Internal Medicine, The University of Texas Medical School at Houston, Houston, TX, U.S.A
| | - Chuan Hong
- Division of Biostatistics, School of Public Health, The University of Texas Health Sciences Center at Houston, Houston, TX, U.S.A
| | - Jin Piao
- Division of Biostatistics, School of Public Health, The University of Texas Health Sciences Center at Houston, Houston, TX, U.S.A
| | - Deborah J del Junco
- Center for Translational Injury Research, Division of Acute Care Surgery, Department of Surgery, The University of Texas Health Science Center at Houston, Houston, TX, U.S.A
| | - Erin E Fox
- Center for Translational Injury Research, Division of Acute Care Surgery, Department of Surgery, The University of Texas Health Science Center at Houston, Houston, TX, U.S.A
| | - Elaheh Rahbar
- Department of Biomedical Engineering, Wake Forest University, Winston-Salem, NC, U.S.A
| | - John B Holcomb
- Center for Translational Injury Research, Division of Acute Care Surgery, Department of Surgery, The University of Texas Health Science Center at Houston, Houston, TX, U.S.A
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Rahbar MH, Ning J, Choi S, Piao J, Hong C, Huang H, Del Junco DJ, Fox EE, Rahbar E, Holcomb JB. A joint latent class model for classifying severely hemorrhaging trauma patients. BMC Res Notes 2015; 8:602. [PMID: 26498438 PMCID: PMC4620016 DOI: 10.1186/s13104-015-1563-4] [Citation(s) in RCA: 3] [Impact Index Per Article: 0.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/23/2014] [Accepted: 10/05/2015] [Indexed: 01/03/2023] Open
Abstract
BACKGROUND In trauma research, "massive transfusion" (MT), historically defined as receiving ≥10 units of red blood cells (RBCs) within 24 h of admission, has been routinely used as a "gold standard" for quantifying bleeding severity. Due to early in-hospital mortality, however, MT is subject to survivor bias and thus a poorly defined criterion to classify bleeding trauma patients. METHODS Using the data from a retrospective trauma transfusion study, we applied a latent-class (LC) mixture model to identify severely hemorrhaging (SH) patients. Based on the joint distribution of cumulative units of RBCs and binary survival outcome at 24 h of admission, we applied an expectation-maximization (EM) algorithm to obtain model parameters. Estimated posterior probabilities were used for patients' classification and compared with the MT rule. To evaluate predictive performance of the LC-based classification, we examined the role of six clinical variables as predictors using two separate logistic regression models. RESULTS Out of 471 trauma patients, 211 (45 %) were MT, while our latent SH classifier identified only 127 (27 %) of patients as SH. The agreement between the two classification methods was 73 %. A non-ignorable portion of patients (17 out of 68, 25 %) who died within 24 h were not classified as MT but the SH group included 62 patients (91 %) who died during the same period. Our comparison of the predictive models based on MT and SH revealed significant differences between the coefficients of potential predictors of patients who may be in need of activation of the massive transfusion protocol. CONCLUSIONS The traditional MT classification does not adequately reflect transfusion practices and outcomes during the trauma reception and initial resuscitation phase. Although we have demonstrated that joint latent class modeling could be used to correct for potential bias caused by misclassification of severely bleeding patients, improvement in this approach could be made in the presence of time to event data from prospective studies.
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Affiliation(s)
- Mohammad H Rahbar
- Division of Clinical and Translational Sciences, Department of Internal Medicine, The University of Texas Medical School at Houston, The University of Texas Health Science Center at Houston, Fannin St, Houston, TX, USA. .,Division of Epidemiology, Human Genetics and Environmental Sciences, School of Public Health, The University of Texas Health Sciences Center at Houston, Pressler St, Houston, TX, USA.
| | - Jing Ning
- Department of Biostatistics, The University of Texas MD Anderson Cancer Center, Holcombe Blvd, Houston, TX, USA.
| | - Sangbum Choi
- Division of Clinical and Translational Sciences, Department of Internal Medicine, The University of Texas Medical School at Houston, The University of Texas Health Science Center at Houston, Fannin St, Houston, TX, USA.
| | - Jin Piao
- Division of Biostatistics, School of Public Health, The University of Texas Health Sciences Center at Houston, Pressler St, Houston, TX, USA.
| | - Chuan Hong
- Division of Biostatistics, School of Public Health, The University of Texas Health Sciences Center at Houston, Pressler St, Houston, TX, USA.
| | - Hanwen Huang
- Epidemiology and Biostatistics, College of Public Health, University of Georgia, Buck Road, Athens, GA, 30602, USA.
| | - Deborah J Del Junco
- Division of Acute Care Surgery, Department of Surgery, Center for Translational Injury Research, The University of Texas Health Science Center at Houston, Fannin St, Houston, TX, USA.
| | - Erin E Fox
- Division of Acute Care Surgery, Department of Surgery, Center for Translational Injury Research, The University of Texas Health Science Center at Houston, Fannin St, Houston, TX, USA.
| | - Elaheh Rahbar
- Department of Biomedical Engineering, Wake Forest University, Winston-Salem, NC, USA.
| | - John B Holcomb
- Division of Acute Care Surgery, Department of Surgery, Center for Translational Injury Research, The University of Texas Health Science Center at Houston, Fannin St, Houston, TX, USA.
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