Asymptotic confidence bands for generalized nonlinear regression models.

Abstract:

:Asymptotic confidence bands for generalized nonlinear regression models are developed. These are based on a combination of the S method of Scheffe, together with the delta method which is used to approximate the mean function by a linear combination of the parameters. The approach can be used in any situation where large sample theory can be applied to yield asymptotically normal estimates of the parameters, together with a consistent estimate of the large sample covariance matrix. Alternative formulations for various special cases allow the use of restricted range bands. A number of examples are given, including a pharmacokinetic model, a logit model with a background response rate, and a parametric survival model.

journal_name

Biometrics

journal_title

Biometrics

authors

Cox C,Ma G

subject

Has Abstract

pub_date

1995-03-01 00:00:00

pages

142-50

issue

1

eissn

0006-341X

issn

1541-0420

journal_volume

51

pub_type

杂志文章
  • A Bayesian approach to jointly modeling toxicity and biomarker expression in a phase I/II dose-finding trial.

    abstract::In this article, we propose a Bayesian approach to phase I/II dose-finding oncology trials by jointly modeling a binary toxicity outcome and a continuous biomarker expression outcome. We apply our method to a clinical trial of a new gene therapy for bladder cancer patients. In this trial, the biomarker expression indi...

    journal_title:Biometrics

    pub_type: 临床试验,杂志文章

    doi:10.1111/j.1541-0420.2005.00314.x

    authors: Bekele BN,Shen Y

    更新日期:2005-06-01 00:00:00

  • Regression estimator in ranked set sampling.

    abstract::Ranked set sampling (RSS) utilizes inexpensive auxiliary information about the ranking of the units in a sample to provide a more precise estimator of the population mean of the variable of interest Y, which is either difficult or expensive to measure. However, the ranking may not be perfect in most situations. In thi...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Yu PL,Lam K

    更新日期:1997-09-01 00:00:00

  • A logistic-bivariate normal model for overdispersed two-state Markov processes.

    abstract::We describe a logistic-bivariate normal mixture model for a two-state Markov chain in which each individual makes transitions between states according to a subject-specific transition probability matrix. The use of the bivariate normal mixing distribution facilitates inferences regarding the correlation of the random ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Cook RJ,Ng ET

    更新日期:1997-03-01 00:00:00

  • Criteria for the validation of surrogate endpoints in randomized experiments.

    abstract::The validation of surrogate endpoints has been studied by Prentice (1989, Statistics in Medicine 8, 431-440) and Freedman, Graubard, and Schatzkin (1992, Statistics in Medicine 11, 167-178). We extended their proposals in the cases where the surrogate and the final endpoints are both binary or normally distributed. Le...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Buyse M,Molenberghs G

    更新日期:1998-09-01 00:00:00

  • Assessing effects of cholera vaccination in the presence of interference.

    abstract::Interference occurs when the treatment of one person affects the outcome of another. For example, in infectious diseases, whether one individual is vaccinated may affect whether another individual becomes infected or develops disease. Quantifying such indirect (or spillover) effects of vaccination could have important...

    journal_title:Biometrics

    pub_type: 杂志文章,随机对照试验

    doi:10.1111/biom.12184

    authors: Perez-Heydrich C,Hudgens MG,Halloran ME,Clemens JD,Ali M,Emch ME

    更新日期:2014-09-01 00:00:00

  • Bayesian inference for two-phase studies with categorical covariates.

    abstract::In this article, we consider two-phase sampling in the situation in which all covariates are categorical. Two-phase designs are appealing from an efficiency perspective since they allow sampling to be concentrated in informative cells. A number of likelihood-based methods have been developed for the analysis of two-ph...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12019

    authors: Ross M,Wakefield J

    更新日期:2013-06-01 00:00:00

  • Seasonality comparisons among groups using incidence data.

    abstract::A new test using incidence data is developed for testing whether two or more groups have the same seasonal pattern. The method fits sine waves to the data with a fundamental period of one cycle per year, and has the possibility of using higher harmonics, when necessary, to adequately model the data. The seasonal patte...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Jones RH,Ford PM,Hamman RF

    更新日期:1988-12-01 00:00:00

  • Line-segment confidence bands for repeated measures.

    abstract::For the case of repeated measures on Y with mean values linear in a concomitant variable Z in [a, b], a straight-line confidence band over [a, b] is given with width linear in Z. Graphical presentation of such line-segment confidence bands can help emphasize that appropriate inferences are limited to the range of the ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Stewart PW

    更新日期:1987-09-01 00:00:00

  • Bayesian calibration of a stochastic kinetic computer model using multiple data sources.

    abstract::In this article, we describe a Bayesian approach to the calibration of a stochastic computer model of chemical kinetics. As with many applications in the biological sciences, the data available to calibrate the model come from different sources. Furthermore, these data appear to provide somewhat conflicting informatio...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2009.01245.x

    authors: Henderson DA,Boys RJ,Wilkinson DJ

    更新日期:2010-03-01 00:00:00

  • Growth curve models of repeated binary response.

    abstract::Experimental designs that include repeated measures of binary response variables over time and under different conditions are common in biology. In such settings, it is often desirable to characterize the response pattern over time. When response variables are continuous, this characterization can be made in terms of ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Stanek EJ 3rd,Diehl SR

    更新日期:1988-12-01 00:00:00

  • Incorporating correlation for multivariate failure time data when cluster size is large.

    abstract::We propose a new estimation method for multivariate failure time data using the quadratic inference function (QIF) approach. The proposed method efficiently incorporates within-cluster correlations. Therefore, it is more efficient than those that ignore within-cluster correlation. Furthermore, the proposed method is e...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2009.01307.x

    authors: Xue L,Wang L,Qu A

    更新日期:2010-06-01 00:00:00

  • The gamma-frailty Poisson model for the nonparametric estimation of panel count data.

    abstract::In this article, we study nonparametric estimation of the mean function of a counting process with panel observations. We introduce the gamma frailty variable to account for the intracorrelation between the panel counts of the counting process and construct a maximum pseudo-likelihood estimate with the frailty variabl...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2003.00126.x

    authors: Zhang Y,Jamshidian M

    更新日期:2003-12-01 00:00:00

  • Gene-trait similarity regression for multimarker-based association analysis.

    abstract::We propose a similarity-based regression method to detect associations between traits and multimarker genotypes. The model regresses similarity in traits for pairs of "unrelated" individuals on their haplotype similarities, and detects the significance by a score test for which the limiting distribution is derived. Th...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2008.01176.x

    authors: Tzeng JY,Zhang D,Chang SM,Thomas DC,Davidian M

    更新日期:2009-09-01 00:00:00

  • Analysis of ordered categorical data: two score-independent approaches.

    abstract:SUMMARY:A trend test is often employed to analyze ordered categorical data, in which a set of increasing scores is assigned a priori. There is a drawback in this approach, because how to choose a set of scores is not clear. There have been debates on which scores should be used (e.g., Graubard and Korn, 1987, Biometric...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2008.00992.x

    authors: Zheng G

    更新日期:2008-12-01 00:00:00

  • Procedures for comparing samples with multiple endpoints.

    abstract::Five procedures are considered for the comparison of two or more multivariate samples. These procedures include a newly proposed nonparametric rank-sum test and a generalized least squares test. Also considered are the following tests: ordinary least squares, Hotelling's T2, and a Bonferroni per-experiment error-rate ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: O'Brien PC

    更新日期:1984-12-01 00:00:00

  • Cox regression model with doubly truncated data.

    abstract::Truncation is a well-known phenomenon that may be present in observational studies of time-to-event data. While many methods exist to adjust for either left or right truncation, there are very few methods that adjust for simultaneous left and right truncation, also known as double truncation. We propose a Cox regressi...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12809

    authors: Rennert L,Xie SX

    更新日期:2018-06-01 00:00:00

  • An alternative approach to confidence interval estimation for the win ratio statistic.

    abstract::Pocock et al. (2012, European Heart Journal 33, 176-182) proposed a win ratio approach to analyzing composite endpoints comprised of outcomes with different clinical priorities. In this article, we establish a statistical framework for this approach. We derive the null hypothesis and propose a closed-form variance est...

    journal_title:Biometrics

    pub_type: 杂志文章,随机对照试验

    doi:10.1111/biom.12225

    authors: Luo X,Tian H,Mohanty S,Tsai WY

    更新日期:2015-03-01 00:00:00

  • Nonparametric estimation of relative mortality from nested case-control studies.

    abstract::Andersen et al. (1985, Biometrics 41, 921-932) gave an estimator of the cumulative relative mortality comparing rates of death in an epidemiologic cohort to an external population as a function of time when covariate information is available on all cohort members. We present an analogous estimator when covariate infor...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Borgan O,Langholz B

    更新日期:1993-06-01 00:00:00

  • Locally efficient estimation of the quality-adjusted lifetime distribution with right-censored data and covariates.

    abstract::Zhao and Tsiatis (1997) consider the problem of estimation of the distribution of the quality-adjusted lifetime when the chronological survival time is subject to right censoring. The quality-adjusted lifetime is typically defined as a weighted sum of the times spent in certain states up until death or some other fail...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.1999.00530.x

    authors: van der Laan MJ,Hubbard A

    更新日期:1999-06-01 00:00:00

  • Multievent: an extension of multistate capture-recapture models to uncertain states.

    abstract::Capture-recapture models were originally developed to account for encounter probabilities that are less than 1 in free-ranging animal populations. Nowadays, these models can deal with the movement of animals between different locations and are also used to study transitions between different states. However, their use...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2005.00318.x

    authors: Pradel R

    更新日期:2005-06-01 00:00:00

  • Joint models for a primary endpoint and multiple longitudinal covariate processes.

    abstract::Joint models are formulated to investigate the association between a primary endpoint and features of multiple longitudinal processes. In particular, the subject-specific random effects in a multivariate linear random-effects model for multiple longitudinal processes are predictors in a generalized linear model for pr...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2007.00822.x

    authors: Li E,Wang N,Wang NY

    更新日期:2007-12-01 00:00:00

  • A mixture model for quantum dot images of kinesin motor assays.

    abstract::We introduce a nearly automatic procedure to locate and count the quantum dots in images of kinesin motor assays. Our procedure employs an approximate likelihood estimator based on a two-component mixture model for the image data; the first component has a normal distribution, and the other component is distributed as...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2010.01467.x

    authors: Hughes J,Fricks J

    更新日期:2011-06-01 00:00:00

  • Improved doubly robust estimation when data are monotonely coarsened, with application to longitudinal studies with dropout.

    abstract::A routine challenge is that of making inference on parameters in a statistical model of interest from longitudinal data subject to dropout, which are a special case of the more general setting of monotonely coarsened data. Considerable recent attention has focused on doubly robust (DR) estimators, which in this contex...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2010.01476.x

    authors: Tsiatis AA,Davidian M,Cao W

    更新日期:2011-06-01 00:00:00

  • Correcting for the effect of misclassification bias in a case-control study using data from two different questionnaires.

    abstract::In an epidemiological study of risk factors in breast cancer, data are available on confirmed cases from a diagnostic clinic and on controls from a screening clinic that sampled the general population. Relative risk estimation is complicated by differences in the interviewing environment and in the wording and order o...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Elton RA,Duffy SW

    更新日期:1983-09-01 00:00:00

  • Latent Ornstein-Uhlenbeck models for Bayesian analysis of multivariate longitudinal categorical responses.

    abstract::We propose a Bayesian latent Ornstein-Uhlenbeck (OU) model to analyze unbalanced longitudinal data of binary and ordinal variables, which are manifestations of fewer continuous latent variables. We focus on the evolution of such latent variables when they continuously change over time. Existing approaches are limited ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.13292

    authors: Tran TD,Lesaffre E,Verbeke G,Duyck J

    更新日期:2020-05-11 00:00:00

  • Bayesian dose-finding in phase I/II clinical trials using toxicity and efficacy odds ratios.

    abstract::A Bayesian adaptive design is proposed for dose-finding in phase I/II clinical trials to incorporate the bivariate outcomes, toxicity and efficacy, of a new treatment. Without specifying any parametric functional form for the drug dose-response curve, we jointly model the bivariate binary data to account for the corre...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2006.00534.x

    authors: Yin G,Li Y,Ji Y

    更新日期:2006-09-01 00:00:00

  • FPCA-based method to select optimal sampling schedules that capture between-subject variability in longitudinal studies.

    abstract::A critical component of longitudinal study design involves determining the sampling schedule. Criteria for optimal design often focus on accurate estimation of the mean profile, although capturing the between-subject variance of the longitudinal process is also important since variance patterns may be associated with ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12714

    authors: Wu M,Diez-Roux A,Raghunathan TE,Sánchez BN

    更新日期:2018-03-01 00:00:00

  • Generalized estimating equation model for binary outcomes with missing covariates.

    abstract::This paper presents an approach to handling missing covariates in the generalized estimating equation (GEE) model for binary outcomes when the probability of missingness depends on the observed outcomes and covariates. The proposed method is to replace the missing quantities in the estimating function with consistent ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Xie F,Paik MC

    更新日期:1997-12-01 00:00:00

  • Efficiency of balanced treatment allocation for survival analysis.

    abstract::We assess the efficiency of balanced treatment allocation methods in clinical trials for comparing treatments with respect to survival. We compare optimal designs for each of three standard survival analysis techniques (maximum partial likelihood estimation, log-rank test, exponential regression) with balanced designs...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Kalish LA,Harrington DP

    更新日期:1988-09-01 00:00:00

  • Choosing near-linear parameters in the four-parameter logistic model for radioligand and related assays.

    abstract::Ten parameters extracted from six currently used parametrizations of the four-parameter logistic model, and one new proposal, were examined for their statistical behavior in nonlinear least-squares estimation in combination with ELISA and RIA data. Those which are adequately near-linear on the basis of the Lowry-Morto...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Ratkowsky DA,Reedy TJ

    更新日期:1986-09-01 00:00:00