Design and analysis of non-inferiority mortality trials in oncology.

Abstract:

:The recent revision of the Declaration of Helsinki and the existence of many new therapies that affect survival or serious morbidity, and that therefore cannot be denied patients, have generated increased interest in active-control trials, particularly those intended to show equivalence or non-inferiority to the active-control. A non-inferiority hypothesis has historically been formulated in terms of a fixed margin. This margin was historically designed to exclude a 'clinically meaningful difference', but has become recognized that the margin must also be no larger than the assured effect of the control in the new study. Depending on how this 'assured effect' is determined or estimated, the selected margin may be very small, leading to very large sample sizes, especially when there is an added requirement that a loss of some specified fraction of the assured effect must be ruled out. In cases where it is appropriate, this paper proposes non-inferiority analyses that do not involve a fixed margin, but can be described as a two confidence interval procedure that compares the 95 per cent two-sided CI for the difference between the treatment and the control to a confidence interval for the control effect (based on a meta-analysis of historical data comparing the control to placebo) that is chosen to preserve a study-wide type I error rate of about 0.025 (similar to the usual standard for a superiority trial) for testing for retention of a prespecified fraction of the control effect. The approach assumes that the estimate of the historical active-control effect size is applicable in the current study. If there is reason to believe that this effect size is diminished (for example, improved concomitant therapies) the estimate of this historical effect could be reduced appropriately. The statistical methodology for testing this non-inferiority hypothesis is developed for a hazard ratio (rather than an absolute difference between treatments, because a hazard ratio seems likely to be less population dependent than the absolute difference). In the case of oncology, the hazard ratio is the usual way of comparing treatments with respect to time to event (time to progression or survival) endpoints. The proportional hazards assumption is regarded as reasonable (approximately holding). The testing procedures proposed are conditionally equivalent to two confidence interval procedures that relax the conservatism of two 95 per cent confidence interval testing procedures and preserve the type I error rate at a one-sided 0.025 level. An application of this methodology to Xeloda, a recently approved drug for the treatment of metastatic colorectal cancers, is illustrated. Other methodologies are also described and assessed - including a point estimate procedure, a Bayesian procedure and two delta-method confidence interval procedures. Published in 2003 by John Wiley & Sons, Ltd.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Rothmann M,Li N,Chen G,Chi GY,Temple R,Tsou HH

doi

10.1002/sim.1400

subject

Has Abstract

pub_date

2003-01-30 00:00:00

pages

239-64

issue

2

eissn

0277-6715

issn

1097-0258

journal_volume

22

pub_type

杂志文章
  • A random forest approach for competing risks based on pseudo-values.

    abstract::Random forest is a supervised learning method that combines many classification or regression trees for prediction. Here we describe an extension of the random forest method for building event risk prediction models in survival analysis with competing risks. In case of right-censored data, the event status at the pred...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.5775

    authors: Mogensen UB,Gerds TA

    更新日期:2013-08-15 00:00:00

  • Small clinical trials: are they all bad?

    abstract::Statisticians have long argued that randomized controlled trials should be sufficiently large to achieve their purpose, and for common diseases with major public health implications this has brought many benefits. However, there are many instances where it is unrealistic to expect clinicians to provide the information...

    journal_title:Statistics in medicine

    pub_type: 杂志文章,评审

    doi:10.1002/sim.4780140204

    authors: Matthews JN

    更新日期:1995-01-30 00:00:00

  • On estimation of the variance in Cochran-Armitage trend tests for genetic association using case-control studies.

    abstract::The Cochran-Armitage trend test has been used in case-control studies for testing genetic association. As the variance of the test statistic is a function of unknown parameters, e.g. disease prevalence and allele frequency, it must be estimated. The usual estimator combining data for cases and controls assumes they fo...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2250

    authors: Zheng G,Gastwirth JL

    更新日期:2006-09-30 00:00:00

  • An application of Harrell's C-index to PH frailty models.

    abstract::Frailty models are encountered in many medical applications, yet little research has been devoted to develop measures that quantify the predictive ability of these models. In this paper, we elaborate on the concept of the concordance probability to clustered data, resulting in an 'Overall Conditional C-index' or bfC(O...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4058

    authors: Van Oirbeek R,Lesaffre E

    更新日期:2010-12-30 00:00:00

  • Bayesian sensitivity analysis of incomplete data: bridging pattern-mixture and selection models.

    abstract::Pattern-mixture models (PMM) and selection models (SM) are alternative approaches for statistical analysis when faced with incomplete data and a nonignorable missing-data mechanism. Both models make empirically unverifiable assumptions and need additional constraints to identify the parameters. Here, we first introduc...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.6302

    authors: Kaciroti NA,Raghunathan T

    更新日期:2014-11-30 00:00:00

  • Methodological considerations on the design and analysis of an equivalence stratified cluster randomization trial.

    abstract::The World Health Organization and collaborating institutions in four developing countries have conducted a multi-centre randomized controlled trial, in which clinics were allocated at random to two antenatal care (ANC) models. These were the standard 'Western' ANC model and a 'new' ANC model consisting of tests, clini...

    journal_title:Statistics in medicine

    pub_type: 临床试验,杂志文章,随机对照试验

    doi:10.1002/1097-0258(20010215)20:3<401::aid-sim801>3.

    authors: Piaggio G,Carroli G,Villar J,Pinol A,Bakketeig L,Lumbiganon P,Bergsjø P,Al-Mazrou Y,Ba'aqeel H,Belizán JM,Farnot U,Berendes H,WHO Antenatal Care Trial Research Group.

    更新日期:2001-02-15 00:00:00

  • Assessing diagnostic reliability and estimating incidence rates associated with a strictly progressive disease: dental caries.

    abstract::This paper presents a general approach for simultaneously assessing, from serial data, diagnostic consistency, interrater reliability and incidence of a strictly progressive disease. Observed data are viewed as incomplete: diagnostic errors are not distinguished from true diagnoses. We introduce a broad class of model...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780070306

    authors: Espeland MA,Murphy WC,Leverett DH

    更新日期:1988-03-01 00:00:00

  • Estimating transmission probabilities for chlamydial infection.

    abstract::Estimates of transmission probabilities for sexually transmitted diseases historically come from studies of uninfected individuals exposed to those with a high disease prevalence (for example, prostitutes). However, changes in sexual behaviour, much of which relates to concerns about AIDS, has made identification of p...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780110502

    authors: Katz BP

    更新日期:1992-03-01 00:00:00

  • Proportional hazards models and age-period-cohort analysis of cancer rates.

    abstract::Age-period-cohort (APC) analysis is widely used in cancer epidemiology to model trends in cancer rates. We develop methods for comparative APC analysis of two independent cause-specific hazard rates assuming that an APC model holds for each one. We construct linear hypothesis tests to determine whether the two hazards...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3865

    authors: Rosenberg PS,Anderson WF

    更新日期:2010-05-20 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

  • Testing goodness-of-fit of the logistic regression model in case-control studies using sample reweighting.

    abstract::A new goodness-of-fit test for the logistic regression model is proposed. It exploits the property of this model that when it is correct, i.e. not misspecified, the parameter estimates are (asymptotically) invariant under reweighting the observations by weights wi that are a function of the binary (0/1) outcomes yi. M...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.1997

    authors: Nagelkerke N,Smits J,le Cessie S,van Houwelingen H

    更新日期:2005-01-15 00:00:00

  • Driving in search of analyses.

    abstract::Although transportation safety has greatly improved over the past 2 decades, motor vehicle crash injuries remain a leading cause of morbidity and mortality, particularly among young drivers. Driver errors and behaviors such as speeding and distraction contribute disproportionately to crashes among inexperienced novice...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.7404

    authors: Simons-Morton B

    更新日期:2017-10-30 00:00:00

  • A community trial strategy for evaluating treatment for symptomatic conditions.

    abstract::A method has been developed for simultaneously comparing the usefulness of many treatments of established value for symptomatic medical conditions. Medical assessment of outcome is not employed. Instead patients are required to assess treatments prescribed during the course of ordinary general practice rather than und...

    journal_title:Statistics in medicine

    pub_type: 临床试验,杂志文章,随机对照试验

    doi:10.1002/sim.4780040104

    authors: Charlton JR,D'Souza MF,Tooley M,Silver R

    更新日期:1985-01-01 00:00:00

  • Choice of test for association in small sample unordered r x c tables.

    abstract::Pearson's chi-squared, the likelihood-ratio, and Fisher-Freeman-Halton's test statistics are often used to test the association of unordered r x c tables. Asymptotical, exact conditional, or exact conditional with mid-p adjustment methods are commonly used to compute the p-value. We have compared test power and signif...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2839

    authors: Lydersen S,Pradhan V,Senchaudhuri P,Laake P

    更新日期:2007-10-15 00:00:00

  • Detection rates and false positive rates for Down's syndrome screening: how precisely can they be estimated and what factors influence their value?

    abstract::Down's syndrome screening is currently carried out using a combination of biochemical markers measured in maternal serum samples; these include MSAFP, Total hCG, uE3 and Free beta-hCG. Recently a number of papers have compared the effectiveness of different combinations of these markers. Some recommend MSAFP, Total hC...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/(sici)1097-0258(19970715)16:13<1481::aid-s

    authors: Dunstan FD,Gray JC,Nix AB,Reynolds T

    更新日期:1997-07-15 00:00:00

  • Parametric mixture models to evaluate and summarize hazard ratios in the presence of competing risks with time-dependent hazards and delayed entry.

    abstract::In the analysis of survival data, there are often competing events that preclude an event of interest from occurring. Regression analysis with competing risks is typically undertaken using a cause-specific proportional hazards model. However, modern alternative methods exist for the analysis of the subdistribution haz...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4123

    authors: Lau B,Cole SR,Gange SJ

    更新日期:2011-03-15 00:00:00

  • Quantifying the bias due to observed individual confounders in causal treatment effect estimates.

    abstract::It is often of interest to use observational data to estimate the causal effect of a target exposure or treatment on an outcome. When estimating the treatment effect, it is essential to appropriately adjust for selection bias due to observed confounders using, for example, propensity score weighting. Selection bias du...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.8549

    authors: Parast L,Griffin BA

    更新日期:2020-08-15 00:00:00

  • Utility-based optimization of phase II/III programs.

    abstract::Phase II and phase III trials play a crucial role in drug development programs. They are costly and time consuming and, because of high failure rates in late development stages, at the same time risky investments. Commonly, sample size calculation of phase III is based on the treatment effect observed in phase II. The...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.6624

    authors: Kirchner M,Kieser M,Götte H,Schüler A

    更新日期:2016-01-30 00:00:00

  • SARS incubation and quarantine times: when is an exposed individual known to be disease free?

    abstract::The setting of a quarantine time for an emerging infectious disease will depend on current knowledge concerning incubation times. Methods for the analysis of information on incubation times are investigated with a particular focus on inference regarding a possible maximum incubation time, after which an exposed indivi...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2206

    authors: Farewell VT,Herzberg AM,James KW,Ho LM,Leung GM

    更新日期:2005-11-30 00:00:00

  • Multivariate meta-analysis: a robust approach based on the theory of U-statistic.

    abstract::Meta-analysis is the methodology for combining findings from similar research studies asking the same question. When the question of interest involves multiple outcomes, multivariate meta-analysis is used to synthesize the outcomes simultaneously taking into account the correlation between the outcomes. Likelihood-bas...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4327

    authors: Ma Y,Mazumdar M

    更新日期:2011-10-30 00:00:00

  • Improving propensity score weighting using machine learning.

    abstract::Machine learning techniques such as classification and regression trees (CART) have been suggested as promising alternatives to logistic regression for the estimation of propensity scores. The authors examined the performance of various CART-based propensity score models using simulated data. Hypothetical studies of v...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3782

    authors: Lee BK,Lessler J,Stuart EA

    更新日期:2010-02-10 00:00:00

  • Sample sizes for phase II and phase III clinical trials: an integrated approach.

    abstract::In this paper the following problem of clinical research is explored. Several potential new treatments are available for use against a certain disease. These are evaluated in a series of pilot studies which will constitute phase II clinical trials. The most promising will then be compared with a standard treatment in ...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780050510

    authors: Whitehead J

    更新日期:1986-09-01 00:00:00

  • The application of large Gaussian mixed models to the analysis of 24 hour ambulatory blood pressure monitoring data in clinical trials.

    abstract::We propose the use of Gaussian mixed models to analyse statistically 24 hour ambulatory blood pressure data from clinical trials. We develop specific models and apply them to data from a clinical study that compares two angiotensin-converting enzyme inhibitors. We investigate and discuss computing issues related to th...

    journal_title:Statistics in medicine

    pub_type: 临床试验,杂志文章,随机对照试验

    doi:10.1002/sim.4780121803

    authors: Selwyn MR,Difranco DM

    更新日期:1993-09-30 00:00:00

  • Predictive diagnostics for logistic models.

    abstract::Novel methodology is implemented to assess the predictive power of covariate information associated with sequential binary events. Logistic models are first fitted on the basis of a subset of the observations and then evaluated sequentially on the rest. The probabilistic forecasts are compared to the outcomes via a sc...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/(SICI)1097-0258(19961030)15:20<2149::AID-S

    authors: Seillier-Moiseiwitsch F

    更新日期:1996-10-30 00:00:00

  • Constructing binomial confidence intervals with near nominal coverage by adding a single imaginary failure or success.

    abstract::In this paper we present a simple method for constructing (1- alpha)100 per cent confidence intervals for binomial proportions with near nominal coverage for all underlying proportion parameters on the unit interval. This new method uses, with a slight modification, the standard normal approximation technique taught i...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2469

    authors: Borkowf CB

    更新日期:2006-11-15 00:00:00

  • Semiparametric ROC surfaces for continuous diagnostic tests based on two test measurements.

    abstract::We propose a semiparametric method for estimating ROC surfaces for continuous diagnostic tests based on two test measurements. Such a three-class diagnostic problem based on two test measurements arises naturally from some DNA amplification-related diagnostic scenarios. Simulation results show that our proposed semipa...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3625

    authors: Wan S,Zhang B

    更新日期:2009-08-15 00:00:00

  • Composite sequential Monte Carlo test for post-market vaccine safety surveillance.

    abstract::Group sequential hypothesis testing is now widely used to analyze prospective data. If Monte Carlo simulation is used to construct the signaling threshold, the challenge is how to manage the type I error probability for each one of the multiple tests without losing control on the overall significance level. This paper...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.6805

    authors: Silva IR

    更新日期:2016-04-30 00:00:00

  • Inconsistencies with formulas for the standard error of the standardized mean difference of repeated measures experiments.

    abstract::There are inconsistencies between the formulas for the variance of standardized mean difference (SMD) in the Cochrane Handbook for Systematic Reviews and the variance reported in other sources. Instead of the variance appropriate for the SMD of a crossover experiment, the Cochrane Handbook uses the variance appropriat...

    journal_title:Statistics in medicine

    pub_type: 信件

    doi:10.1002/sim.8669

    authors: Kitchenham B,Madeyski L

    更新日期:2020-11-30 00:00:00

  • Doubly robust estimation of the weighted average treatment effect for a target population.

    abstract::The weighted average treatment effect is a causal measure for the comparison of interventions in a specific target population, which may be different from the population where data are sampled from. For instance, when the goal is to introduce a new treatment to a target population, the question is what efficacy (or ef...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.7980

    authors: Tao Y,Fu H

    更新日期:2019-02-10 00:00:00

  • Box-Cox transformation of left-censored data with application to the analysis of coronary artery calcification and pharmacokinetic data.

    abstract::Box-Cox transformation is investigated for regression models for left-censored data. Examples are provided using coronary calcification data from the Multi-Ethnic Study of Atherosclerosis and pharmacokinetic data of a nicotine nasal spray. ...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.1925

    authors: Han C,Kronmal R

    更新日期:2004-12-15 00:00:00