Adjusted Kaplan-Meier estimator and log-rank test with inverse probability of treatment weighting for survival data.

Abstract:

:Estimation and group comparison of survival curves are two very common issues in survival analysis. In practice, the Kaplan-Meier estimates of survival functions may be biased due to unbalanced distribution of confounders. Here we develop an adjusted Kaplan-Meier estimator (AKME) to reduce confounding effects using inverse probability of treatment weighting (IPTW). Each observation is weighted by its inverse probability of being in a certain group. The AKME is shown to be a consistent estimate of the survival function, and the variance of the AKME is derived. A weighted log-rank test is proposed for comparing group differences of survival functions. Simulation studies are used to illustrate the performance of AKME and the weighted log-rank test. The method proposed here outperforms the Kaplan-Meier estimate, and it does better than or as well as other estimators based on stratification. The AKME and the weighted log-rank test are applied to two real examples: one is the study of times to reinfection of sexually transmitted diseases, and the other is the primary biliary cirrhosis (PBC) study.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Xie J,Liu C

doi

10.1002/sim.2174

subject

Has Abstract

pub_date

2005-10-30 00:00:00

pages

3089-110

issue

20

eissn

0277-6715

issn

1097-0258

journal_volume

24

pub_type

杂志文章
  • A model-based conditional power assessment for decision making in randomized controlled trial studies.

    abstract::Conditional power based on summary statistic by comparing outcomes (such as the sample mean) directly between 2 groups is a convenient tool for decision making in randomized controlled trial studies. In this paper, we extend the traditional summary statistic-based conditional power with a general model-based assessmen...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.7454

    authors: Zou B,Cai J,Koch GG,Zhou H,Zou F

    更新日期:2017-12-30 00:00:00

  • Discriminant analysis using a multivariate linear mixed model with a normal mixture in the random effects distribution.

    abstract::We have developed a method to longitudinally classify subjects into two or more prognostic groups using longitudinally observed values of markers related to the prognosis. We assume the availability of a training data set where the subjects' allocation into the prognostic group is known. The proposed method proceeds i...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3849

    authors: Komárek A,Hansen BE,Kuiper EM,van Buuren HR,Lesaffre E

    更新日期:2010-12-30 00:00:00

  • Statistical methods for multivariate interval-censored recurrent events.

    abstract::Multi-type recurrent event data arise when two or more different kinds of events may occur repeatedly over a period of observation. The scientific objectives in such settings are often to describe features of the marginal processes and to study the association between the different types of events. Interval-censored m...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.1936

    authors: Chen BE,Cook RJ,Lawless JF,Zhan M

    更新日期:2005-03-15 00:00:00

  • Design and sample size considerations for valuation studies of multi-attribute utility instruments.

    abstract::The EQ-5D, a widely used multiattribute utility instrument, is commonly used in health economic evaluations where the goal is to decide on which treatments to reimburse. Like other instruments, value sets of the EQ-5D are constructed using valuation studies typically valuing a subset of the health states and using pre...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.8592

    authors: Shams S,Pullenayegum E

    更新日期:2020-10-15 00:00:00

  • An extension of the continual reassessment method using decision theory.

    abstract::The primary goal of a phase I trial is to find the maximally tolerated dose (MTD) of a treatment. The MTD is usually defined in terms of a tolerable probability, q(*), of toxicity. Our objective is to find the highest dose with toxicity risk that does not exceed q(*), a criterion that is often desired in designing pha...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.970

    authors: Leung DH,Wang YG

    更新日期:2002-01-15 00:00:00

  • Elasticity as a measure for online determination of remission points in ongoing epidemics.

    abstract::The correct identification of change-points during ongoing outbreak investigations of infectious diseases is a matter of paramount importance in epidemiology, with major implications for the management of health care resources, public health and, as the COVID-19 pandemic has shown, social live. Onsets, peaks, and infl...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.8807

    authors: Veres-Ferrer EJ,Pavía JM

    更新日期:2021-02-20 00:00:00

  • Drug treatment of mild hypertension to reduce the risk of CHD: is it worth-while?

    abstract::Although hypertension is regarded as a causal factor for coronary heart disease (CHD) a reduction in the risk of CHD as a result of lowering blood pressure in mild hypertension could not be demonstrated. This conclusion is based on an overview analysis of all published randomized trials in mild hypertension, including...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780071104

    authors: Holme I

    更新日期:1988-11-01 00:00:00

  • An empirical Bayes method for studying variation in knee replacement rates.

    abstract::Knee replacement is the most commonly used surgical treatment for knee arthritis. It has been reported that knee replacement rates vary across both regions and counties. This paper used data from Medicare patients to develop explanations for the variation. One problem with our data is that we do not have patient level...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/(SICI)1097-0258(19960915)15:17<1875::AID-S

    authors: Zhou XH,Katz BP,Holleman E,Melfi CA,Dittus R

    更新日期:1996-09-15 00:00:00

  • A Bayesian approach estimating treatment effects on biomarkers containing zeros with detection limits.

    abstract::Often in randomized clinical trials and observational studies in occupational and environmental health, a non-negative continuously distributed response variable denoting some metabolites of environmental toxicants is measured in treatment and control groups. When observations occur in both unexposed and exposed subje...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3170

    authors: Chu H,Nie L,Kensler TW

    更新日期:2008-06-15 00:00:00

  • Survival probabilities with time-dependent treatment indicator: quantities and non-parametric estimators.

    abstract::The 'landmark' and 'Simon and Makuch' non-parametric estimators of the survival function are commonly used to contrast the survival experience of time-dependent treatment groups in applications such as stem cell transplant versus chemotherapy in leukemia. However, the theoretical survival functions corresponding to th...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.6765

    authors: Bernasconi DP,Rebora P,Iacobelli S,Valsecchi MG,Antolini L

    更新日期:2016-03-30 00:00:00

  • A joint model for interval-censored functional decline trajectories under informative observation.

    abstract::Multi-state models are useful for modelling disease progression where the state space of the process is used to represent the discrete disease status of subjects. Often, the disease process is only observed at clinical visits, and the schedule of these visits can depend on the disease status of patients. In such situa...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.6582

    authors: Lesperance ML,Sabelnykova V,Nathoo FS,Lau F,Downing MG

    更新日期:2015-12-20 00:00:00

  • Simultaneous estimation of intrarater and interrater agreement for multiple raters under order restrictions for a binary trait.

    abstract::It is valuable in many studies to assess both intrarater and interrater agreement. Most measures of intrarater agreement do not adjust for unequal estimates of prevalence between the separate rating occasions for a given rater and measures of interrater agreement typically ignore data from the second set of assessment...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.1138

    authors: Lester Kirchner H,Lemke JH

    更新日期:2002-06-30 00:00:00

  • Clinical trials: some reflections.

    abstract::The principles and historical development of clinical trials are outlined briefly. Some issues that extend the basic philosophy first put forward by Sir Austin Bradford Hill 40 years ago and that will need consideration in the future application of clinical trials are discussed. ...

    journal_title:Statistics in medicine

    pub_type: 传,历史文章,杂志文章

    doi:10.1002/sim.4780010414

    authors: Holland WW,Breeze E,Swan AV

    更新日期:1982-10-01 00:00:00

  • Assessing surrogates as trial endpoints using mixed models.

    abstract::Having a surrogate for a definitive endpoint in a clinical trial can sometimes be useful when it is impractical, invasive or very time consuming to obtain the definitive endpoint. This paper discusses methods for assessing whether the surrogate-endpoint results of a trial can be used in place of definitive-endpoint re...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.1779

    authors: Korn EL,Albert PS,McShane LM

    更新日期:2005-01-30 00:00:00

  • Group sequential testing of the predictive accuracy of a continuous biomarker with unknown prevalence.

    abstract::Group sequential testing procedures have been proposed as an approach to conserving resources in biomarker validation studies. Previously, we derived the asymptotic properties of the sequential empirical positive predictive value (PPV) and negative predictive value (NPV) curves, which summarize the predictive accuracy...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.6790

    authors: Koopmeiners JS,Feng Z

    更新日期:2016-04-15 00:00:00

  • Nonparametric collective spectral density estimation with an application to clustering the brain signals.

    abstract::In this paper, we develop a method for the simultaneous estimation of spectral density functions (SDFs) for a collection of stationary time series that share some common features. Due to the similarities among the SDFs, the log-SDF can be represented using a common set of basis functions. The basis shared by the colle...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.7972

    authors: Maadooliat M,Sun Y,Chen T

    更新日期:2018-12-30 00:00:00

  • A standardization method to adjust for the effect of patient selection in phase II clinical trials.

    abstract::New combination regimens evaluated in phase II cancer clinical trials often show promising results compared to the standard therapy for a disease system. Selection of patients with a better prognosis can be a prominent factor for this optimism. For most disease systems, prognostic variables that are related to the out...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.706

    authors: Mazumdar M,Fazzari M,Panageas KS

    更新日期:2001-03-30 00:00:00

  • Prospective epidemiological studies involving paired organs.

    abstract::Standard methods for analysing survival data or case-control data normally concern factors affecting a subject as a whole. However, in a study of a condition that might develop in one or both of a pair of bodily organs information on response and on covariates may be available for each separately. This information can...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780070509

    authors: Whitehead J,Dorse C

    更新日期:1988-05-01 00:00:00

  • Using follow-up data to avoid omitted variable bias: an application to cardiovascular epidemiology.

    abstract::Omitted variable bias is discussed in the context of linear models. It is shown that the effect of omitted variables can be controlled in linear models for metric dependent variables by using data from follow-up studies. Two different models for analysing such data are proposed. In the first model the omitted variable...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780110906

    authors: Rehm J,Arminger G,Kohlmeier L

    更新日期:1992-06-30 00:00:00

  • Evidence-based medicine as Bayesian decision-making.

    abstract::We review two recent trends: the emergence of evidence-based medicine and the growing use of Bayesian statistics in medical applications. Evidence-based medicine requires an integrated assessment of the available evidence, and associated uncertainty, but there is also an emphasis on decision-making, for individual pat...

    journal_title:Statistics in medicine

    pub_type: 杂志文章,评审

    doi:10.1002/1097-0258(20001215)19:23<3291::aid-sim627>

    authors: Ashby D,Smith AF

    更新日期:2000-12-15 00:00:00

  • Constructing intervals for the intracluster correlation coefficient using Bayesian modelling, and application in cluster randomized trials.

    abstract::Studies in health research are commonly carried out in clustered settings, where the individual response data are correlated within clusters. Estimation and modelling of the extent of between-cluster variation contributes to understanding of the current study and to design of future studies. It is common to express be...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2304

    authors: Turner RM,Omar RZ,Thompson SG

    更新日期:2006-05-15 00:00:00

  • The ghosts of departed quantities: approaches to dealing with observations below the limit of quantitation.

    abstract::A common but not necessarily logical requirement in drug development is that a 'limit of quantitation' be set for chemical assays and that observations that fall below the limit should not be treated as real data but should be labelled as below the limit and set aside for special treatment. We examine five of seven ap...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.5515

    authors: Senn S,Holford N,Hockey H

    更新日期:2012-12-30 00:00:00

  • Model selection techniques for the covariance matrix for incomplete longitudinal data.

    abstract::In longitudinal studies with incomplete data, where the number of time points can become numerous, it is often advantageous to model the covariance matrix. We describe several covariance models (for example, mixed models, compound symmetry, AR(1)-type models, and combination models) that offer parsimonious alternative...

    journal_title:Statistics in medicine

    pub_type: 杂志文章,评审

    doi:10.1002/sim.4780141302

    authors: Grady JJ,Helms RW

    更新日期:1995-07-15 00:00:00

  • Multiplicity adjustment for multiple endpoints in clinical trials with multiple doses of an active treatment.

    abstract::Frequently, multiple doses of an active treatment and multiple endpoints are simultaneously considered in the designs of clinical trials. For these trials, traditional multiplicity adjustment procedures such as Bonferroni, Hochberg and Hommel procedures can be applied when treating the comparisons of different doses t...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2101

    authors: Quan H,Luo X,Capizzi T

    更新日期:2005-07-30 00:00:00

  • Joint modeling longitudinal semi-continuous data and survival, with application to longitudinal medical cost data.

    abstract::It has been increasingly common to analyze simultaneously repeated measures and time to failure data. In this paper we propose a joint model when the repeated measures are semi-continuous, characterized by the presence of a large portion of zero values, as well as right skewness of non zero (positive) values. Examples...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3497

    authors: Liu L

    更新日期:2009-03-15 00:00:00

  • Correcting for the dependent competing risk of treatment using inverse probability of censoring weighting and copulas in the estimation of natural conception chances.

    abstract::When estimating the probability of natural conception from observational data on couples with an unfulfilled child wish, the start of assisted reproductive therapy (ART) is a competing event that cannot be assumed to be independent of natural conception. In clinical practice, interest lies in the probability of natura...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.6280

    authors: van Geloven N,Geskus RB,Mol BW,Zwinderman AH

    更新日期:2014-11-20 00:00:00

  • Comparison between splines and fractional polynomials for multivariable model building with continuous covariates: a simulation study with continuous response.

    abstract::In observational studies, many continuous or categorical covariates may be related to an outcome. Various spline-based procedures or the multivariable fractional polynomial (MFP) procedure can be used to identify important variables and functional forms for continuous covariates. This is the main aim of an explanatory...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.5639

    authors: Binder H,Sauerbrei W,Royston P

    更新日期:2013-06-15 00:00:00

  • A random effects model for ordinal responses from a crossover trial.

    abstract::Crossover studies have been successfully conducted in the case of continuous responses. Existing procedures of analysis for ordinal responses, on the other hand, are rarely satisfactory unless strict, usually unrealistic, assumptions are made. In this paper we investigate a random effects model and show that the model...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780100611

    authors: Ezzet F,Whitehead J

    更新日期:1991-06-01 00:00:00

  • Rank-based estimating equations with general weight for accelerated failure time models: an induced smoothing approach.

    abstract::The induced smoothing technique overcomes the difficulties caused by the non-smoothness in rank-based estimating functions for accelerated failure time models, but it is only natural when the estimating function has Gehan's weight. For a general weight, the induced smoothing method does not provide smooth estimating f...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.6415

    authors: Chiou S,Kang S,Yan J

    更新日期:2015-04-30 00:00:00

  • Identifying optimal risk windows for self-controlled case series studies of vaccine safety.

    abstract::In vaccine safety studies, subjects are considered at increased risk for adverse events for a period of time after vaccination known as risk window. To our knowledge, risk windows for vaccine safety studies have tended to be pre-defined and not to use information from the current study. Inaccurate specification of the...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4125

    authors: Xu S,Zhang L,Nelson JC,Zeng C,Mullooly J,McClure D,Glanz J

    更新日期:2011-03-30 00:00:00