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 this paper, we assume that the ranking is done on the basis of a concomitant variable X. Regression-type RSS estimators of the population mean of Y will be proposed by utilizing this concomitant variable X in both the ranking process of the units and the estimation process when the population mean of X is known. When X has unknown mean, double sampling will be used to obtain an estimate for the population mean of X. It is found that when X and Y jointly follow a bivariate normal distribution, our proposed RSS regression estimator is more efficient than RSS and simple random sampling (SRS) naive estimators unless the correlation between X and Y is low (/rho/ < 0.4). Moreover, it is always superior to the regression estimator under SRS for all rho. When normality does not hold, this approach could still perform reasonably well as long as the shape of the distribution of the concomitant variable X is only slightly departed from symmetry. For heavily skewed distributions, a remedial measure will be suggested. An example of estimating the mean plutonium concentration in surface soil on the Nevada Test Site, Nevada, U.S.A., will be considered.

journal_name

Biometrics

journal_title

Biometrics

authors

Yu PL,Lam K

subject

Has Abstract

pub_date

1997-09-01 00:00:00

pages

1070-80

issue

3

eissn

0006-341X

issn

1541-0420

journal_volume

53

pub_type

杂志文章
  • Nonparametric functional mapping of quantitative trait loci.

    abstract::Functional mapping is a useful tool for mapping quantitative trait loci (QTL) that control dynamic traits. It incorporates mathematical aspects of biological processes into the mixture model-based likelihood setting for QTL mapping, thus increasing the power of QTL detection and the precision of parameter estimation. ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2008.01063.x

    authors: Yang J,Wu R,Casella G

    更新日期:2009-03-01 00:00:00

  • A Bayesian goodness of fit test and semiparametric generalization of logistic regression with measurement data.

    abstract::Logistic regression is a popular tool for risk analysis in medical and population health science. With continuous response data, it is common to create a dichotomous outcome for logistic regression analysis by specifying a threshold for positivity. Fitting a linear regression to the nondichotomized response variable a...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12007

    authors: Schörgendorfer A,Branscum AJ,Hanson TE

    更新日期:2013-06-01 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

  • Bayesian influence measures for joint models for longitudinal and survival data.

    abstract::This article develops a variety of influence measures for carrying out perturbation (or sensitivity) analysis to joint models of longitudinal and survival data (JMLS) in Bayesian analysis. A perturbation model is introduced to characterize individual and global perturbations to the three components of a Bayesian model...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2012.01745.x

    authors: Zhu H,Ibrahim JG,Chi YY,Tang N

    更新日期:2012-09-01 00:00:00

  • Fitting nonlinear and constrained generalized estimating equations with optimization software.

    abstract::In this article, we present an estimation approach for solving nonlinear constrained generalized estimating equations that can be implemented using object-oriented software for nonlinear programming, such as nlminb in Splus or fmincon and lsqnonlin in Matlab. We show how standard estimating equation theory includes th...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2000.01268.x

    authors: Contreras M,Ryan LM

    更新日期:2000-12-01 00:00:00

  • Novel two-phase sampling designs for studying binary outcomes.

    abstract::In biomedical cohort studies for assessing the association between an outcome variable and a set of covariates, usually, some covariates can only be measured on a subgroup of study subjects. An important design question is-which subjects to select into the subgroup to increase statistical efficiency. When the outcome ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.13140

    authors: Wang L,Williams ML,Chen Y,Chen J

    更新日期:2020-03-01 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

  • Incorporating Patient Preferences into Estimation of Optimal Individualized Treatment Rules.

    abstract::Precision medicine seeks to provide treatment only if, when, to whom, and at the dose it is needed. Thus, precision medicine is a vehicle by which healthcare can be made both more effective and efficient. Individualized treatment rules operationalize precision medicine as a map from current patient information to a re...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12743

    authors: Butler EL,Laber EB,Davis SM,Kosorok MR

    更新日期:2018-03-01 00:00:00

  • A generalized estimating equation approach for modeling random length binary vector data.

    abstract::A common measure in clinical trials and epidemiologic studies is the number of events such as seizures, hospitalizations, or bouts of disease. Frequently, a binary measure of severity for each event is available but is not incorporated in the analysis. This paper proposes methodology for jointly modeling the number of...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Albert PS,Follmann DA,Barnhart HX

    更新日期:1997-09-01 00:00:00

  • A score regression approach to assess calibration of continuous probabilistic predictions.

    abstract::Calibration, the statistical consistency of forecast distributions and the observations, is a central requirement for probabilistic predictions. Calibration of continuous forecasts is typically assessed using the probability integral transform histogram. In this article, we propose significance tests based on scoring ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2010.01406.x

    authors: Held L,Rufibach K,Balabdaoui F

    更新日期:2010-12-01 00:00:00

  • An improved method for measuring heart-rate variability: assessment of cardiac autonomic function.

    abstract::Heart rate oscillates in synchrony with respiration. Several methods have been employed to assess this 'sinus arrhythmia', as an index of autonomic nervous system function. This paper proposes a new, easily computed measure, R, which is relatively resistant to the major nonrespiratory sources of variation, including p...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Weinberg CR,Pfeifer MA

    更新日期:1984-09-01 00:00:00

  • Performance of generalized estimating equations in practical situations.

    abstract::Moment methods for analyzing repeated binary responses have been proposed by Liang and Zeger (1986, Biometrika 73, 13-22), and extended by Prentice (1988, Biometrics 44, 1033-1048). In their generalized estimating equations (GEE), both Liang and Zeger (1986) and Prentice (1988) estimate the parameters associated with ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Lipsitz SR,Fitzmaurice GM,Orav EJ,Laird NM

    更新日期:1994-03-01 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

  • Likelihood ratio tests for a dose-response effect using multiple nonlinear regression models.

    abstract::We consider the problem of testing for a dose-related effect based on a candidate set of (typically nonlinear) dose-response models using likelihood-ratio tests. For the considered models this reduces to assessing whether the slope parameter in these nonlinear regression models is zero or not. A technical problem is t...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12563

    authors: Gutjahr G,Bornkamp B

    更新日期:2017-03-01 00:00:00

  • Two-stage method of estimation for general linear growth curve models.

    abstract::We extend the linear random-effects growth curve model (REGCM) (Laird and Ware, 1982, Biometrics 38, 963-974) to study the effects of population covariates on one or more characteristics of the growth curve when the characteristics are expressed as linear combinations of the growth curve parameters. This definition in...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Stukel TA,Demidenko E

    更新日期:1997-06-01 00:00:00

  • A latent model to detect multiple clusters of varying sizes.

    abstract::This article develops a latent model and likelihood-based inference to detect temporal clustering of events. The model mimics typical processes generating the observed data. We apply model selection techniques to determine the number of clusters, and develop likelihood inference and a Monte Carlo expectation-maximizat...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2009.01197.x

    authors: Xie M,Sun Q,Naus J

    更新日期:2009-12-01 00:00:00

  • Median regression models for longitudinal data with dropouts.

    abstract:SUMMARY:Recently, median regression models have received increasing attention. When continuous responses follow a distribution that is quite different from a normal distribution, usual mean regression models may fail to produce efficient estimators whereas median regression models may perform satisfactorily. In this ar...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2008.01105.x

    authors: Yi GY,He W

    更新日期:2009-06-01 00:00:00

  • On the near-singularity of models for animal recovery data.

    abstract::Certain probability models sometimes provide poor descriptions when fitted to data by maximum likelihood. We examine one such model for the survival of wild animals, which is fitted to two sets of data. When the model behaves poorly, its expected information matrix, evaluated at the maximum likelihood estimate of para...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2001.00720.x

    authors: Catchpole EA,Kgosi PM,Morgan BJ

    更新日期:2001-09-01 00:00:00

  • Estimation of individual genetic effects from binary observations on relatives applied to a family history of respiratory illnesses and chronic lung disease of newborns.

    abstract::This paper considers methods for estimating the relationship between a binary response Y and the genetic effects responsible for a second binary trait Z. The responses Y are observed only for target individuals, and the responses Z are observed only for the relatives of these targets. The analysis consists of two part...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2000.00808.x

    authors: Houwing-Duistermaat JJ,van Houwelingen HC,de Winter JP

    更新日期:2000-09-01 00:00:00

  • Dynamic models for estimating the effect of HAART on CD4 in observational studies: Application to the Aquitaine Cohort and the Swiss HIV Cohort Study.

    abstract::Highly active antiretroviral therapy (HAART) has proved efficient in increasing CD4 counts in many randomized clinical trials. Because randomized trials have some limitations (e.g., short duration, highly selected subjects), it is interesting to assess the effect of treatments using observational studies. This is chal...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12564

    authors: Prague M,Commenges D,Gran JM,Ledergerber B,Young J,Furrer H,Thiébaut R

    更新日期:2017-03-01 00:00:00

  • Bayesian prediction of spatial count data using generalized linear mixed models.

    abstract::Spatial weed count data are modeled and predicted using a generalized linear mixed model combined with a Bayesian approach and Markov chain Monte Carlo. Informative priors for a data set with sparse sampling are elicited using a previously collected data set with extensive sampling. Furthermore, we demonstrate that so...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2002.00280.x

    authors: Christensen OF,Waagepetersen R

    更新日期:2002-06-01 00:00:00

  • A note on the operating characteristics of the modified F test.

    abstract::Brownie, Boos, and Hughes-Oliver (1990, Biometrics 46, 259-266) suggested a modification to the fixed-effects analysis of variance (ANOVA) F test for use in situations where treatments are likely to affect mean response while simultaneously increasing between-subject variability. These authors suggest that the modifie...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Blair RC,Sawilowsky S

    更新日期:1993-09-01 00:00:00

  • Pooling data for stability studies: testing the equality of batch degradation slopes.

    abstract::Pharmaceutical products are routinely monitored for their stability over time. Stability studies generally consist of a random sample of dosage units (e.g., tablets, capsules, vials) from a batch or several batches placed in a storage room and periodically assayed for their drug content. The degradation of the drug pr...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Ruberg SJ,Stegeman JW

    更新日期:1991-09-01 00:00:00

  • Sensitivity analysis for nonrandom dropout: a local influence approach.

    abstract::Diggle and Kenward (1994, Applied Statistics 43, 49-93) proposed a selection model for continuous longitudinal data subject to nonrandom dropout. It has provoked a large debate about the role for such models. The original enthusiasm was followed by skepticism about the strong but untestable assumptions on which this t...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2001.00007.x

    authors: Verbeke G,Molenberghs G,Thijs H,Lesaffre E,Kenward MG

    更新日期:2001-03-01 00:00:00

  • Confidence intervals for the conditional probability of misallocation in discriminant analysis.

    abstract::In this study we are concerned with the construction of confidence intervals for the conditional probability of misallocation associated with Anderson's classification statistics, W. The available methods of computing confidence intervals for the conditional probability are not satisfactory in practice, mainly because...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: McLachlan GJ

    更新日期:1975-03-01 00:00:00

  • A stochastic model for the occurrence of transient ischemic attacks.

    abstract::This paper presents the development, application and evaluation of a stochastic model of the frequency of occurrence of transient ischemic attacks (TIAs). TIAs occur during periods of abnormal arterial activity. The TIAs which occur during a single period of abnormal activity are called a cluster of TIAs. Thus, the nu...

    journal_title:Biometrics

    pub_type: 临床试验,杂志文章

    doi:

    authors: Dunn JK,Hardy RJ

    更新日期:1980-03-01 00:00:00

  • 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

  • Multimodal neuroimaging data integration and pathway analysis.

    abstract::With advancements in technology, the collection of multiple types of measurements on a common set of subjects is becoming routine in science. Some notable examples include multimodal neuroimaging studies for the simultaneous investigation of brain structure and function and multi-omics studies for combining genetic an...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.13351

    authors: Zhao Y,Li L,Caffo BS

    更新日期:2020-08-13 00:00:00

  • A Bayesian approach to modeling associations between pulsatile hormones.

    abstract:SUMMARY:Many hormones are secreted in pulses. The pulsatile relationship between hormones regulates many biological processes. To understand endocrine system regulation, time series of hormone concentrations are collected. The goal is to characterize pulsatile patterns and associations between hormones. Currently each ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2008.01117.x

    authors: Carlson NE,Johnson TD,Brown MB

    更新日期:2009-06-01 00:00:00

  • Composite sampling.

    abstract::In sampling certain types of materials, such as bags of fertilizer, or subsampling large quantities of water, as might be done in investigating the density of plankton in certain environmental situations, it is customary to composite the samples. That is, several samples are drawn, mixed into a composite sample, and a...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Rohde CA

    更新日期:1976-06-01 00:00:00