CoPlot: a tool for visualizing multivariate data in medicine.

Abstract:

:Many critical questions in medicine require the analysis of complex multivariate data, often from large data sets describing numerous variables for numerous subjects. In this paper, we describe CoPlot, a tool for visualizing multivariate data in medicine. CoPlot is an adaptation of multidimensional scaling (MDS) that addresses several key limitations of MDS, namely that MDS maps do not allow for visualization of both observations and variables simultaneously and that the axes on an MDS map have no inherent meaning. By addressing these issues, CoPlot facilitates rich interpretation of multivariate data. We present an example using CoPlot on a recently published data set from a systematic review describing clinical features and disease progression of children with anthrax and provide recommendations for the use of CoPlot for evaluating and interpreting other healthcare data sets.

journal_name

Stat Med

journal_title

Statistics in medicine

authors

Bravata DM,Shojania KG,Olkin I,Raveh A

doi

10.1002/sim.3078

subject

Has Abstract

pub_date

2008-05-30 00:00:00

pages

2234-47

issue

12

eissn

0277-6715

issn

1097-0258

journal_volume

27

pub_type

杂志文章
  • Analysis of incomplete multivariate data using linear models with structured covariance matrices.

    abstract::Incomplete and unbalanced multivariate data often arise in longitudinal studies due to missing or unequally-timed repeated measurements and/or the presence of time-varying covariates. A general approach to analysing such data is through maximum likelihood analysis using a linear model for the expected responses, and s...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780070132

    authors: Schluchter MD

    更新日期:1988-01-01 00:00:00

  • Assessment of equivalence on multiple endpoints.

    abstract::Some clinical trials aim to demonstrate therapeutic equivalence on multiple primary endpoints. For example, therapeutic equivalence studies of agents for the treatment of osteoarthritis use several primary endpoints including investigator's global assessment of disease activity, patient's global assessment of response...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.985

    authors: Quan H,Bolognese J,Yuan W

    更新日期:2001-11-15 00:00:00

  • Interval estimation for rank correlation coefficients based on the probit transformation with extension to measurement error correction of correlated ranked data.

    abstract::The Spearman (rho(s)) and Kendall (tau) rank correlation coefficient are routinely used as measures of association between non-normally distributed random variables. However, confidence limits for rho(s) are only available under the assumption of bivariate normality and for tau under the assumption of asymptotic norma...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2547

    authors: Rosner B,Glynn RJ

    更新日期:2007-02-10 00:00:00

  • 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 in...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2174

    authors: Xie J,Liu C

    更新日期:2005-10-30 00:00:00

  • Statistical interim monitoring of the Cardiac Arrhythmia Suppression Trial.

    abstract::The Cardiac Arrythmia Suppression Trial was stopped much earlier than planned. Statistical considerations played a very important role in the decision. Flexible group sequential testing was developed for the trial by implementing a Lan and DeMets procedure with use of the permutation test. We compute P-values from the...

    journal_title:Statistics in medicine

    pub_type: 临床试验,杂志文章,多中心研究,随机对照试验

    doi:10.1002/sim.4780090915

    authors: Pawitan Y,Hallstrom A

    更新日期:1990-09-01 00:00:00

  • Analysis of additive risk model with high-dimensional covariates using partial least squares.

    abstract::In this paper, we construct a partial additive regression (PAR) model to predict the survival times of cancer patients based on microarray gene expression data with right censoring. The area under time-dependent receiver operating characteristic curve is used as a model evaluation criterion. We conduct a simulation st...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3412

    authors: Zhao Y,Zhou Y,Zhao M

    更新日期:2009-01-30 00:00:00

  • The analysis of continuous outcomes in multi-centre trials with small centre sizes.

    abstract::The standard analysis of clinical trials stratified by centre is to include centres as fixed effects, but if many centres contribute small numbers of patients, this approach results in a loss of power. Assuming no treatment by centre interaction, we used simulation to examine power and coverage of confidence intervals...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3068

    authors: Pickering RM,Weatherall M

    更新日期:2007-12-30 00:00:00

  • Easy and accurate variance estimation of the nonparametric estimator of the partial area under the ROC curve and its application.

    abstract::The receiver operating characteristic (ROC) curve is a popular technique with applications, for example, investigating an accuracy of a biomarker to delineate between disease and non-disease groups. A common measure of accuracy of a given diagnostic marker is the area under the ROC curve (AUC). In contrast with the AU...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.6863

    authors: Yu J,Yang L,Vexler A,Hutson AD

    更新日期:2016-06-15 00:00:00

  • Incorporating longitudinal biomarkers for dynamic risk prediction in the era of big data: A pseudo-observation approach.

    abstract::Longitudinal biomarker data are often collected in studies, providing important information regarding the probability of an outcome of interest occurring at a future time. With many new and evolving technologies for biomarker discovery, the number of biomarker measurements available for analysis of disease progression...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.8687

    authors: Zhao L,Murray S,Mariani LH,Ju W

    更新日期:2020-11-20 00:00:00

  • Stochastically curtailed phase II clinical trials.

    abstract::Phase II trials often test the null hypothesis H(0): p or=p(1), where p is the true unknown proportion responding to the new treatment, p(0) is the greatest response proportion which is deemed clinically ineffective, and p(1) is the smallest response proportion which is deemed clinically effe...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2653

    authors: Ayanlowo AO,Redden DT

    更新日期:2007-03-30 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

  • Ordinal invariant measures for individual and group changes in ordered categorical data.

    abstract::Subjective judgements of complex variables are commonly recorded as ordered categorical data. The rank-invariant properties of such data are well known, and there are various statistical approaches to the analysis and modelling of ordinal data. This paper focuses on the non-additive property of ordered categorical dat...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/(sici)1097-0258(19981230)17:24<2923::aid-s

    authors: Svensson E

    更新日期:1998-12-30 00:00:00

  • A selection model for longitudinal binary responses subject to non-ignorable attrition.

    abstract::Longitudinal studies collect information on a sample of individuals which is followed over time to analyze the effects of individual and time-dependent characteristics on the observed response. These studies often suffer from attrition: individuals drop out of the study before its completion time and thus present inco...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3604

    authors: Alfò M,Maruotti A

    更新日期:2009-08-30 00:00:00

  • The detection of adverse reactions to therapeutic drugs.

    abstract::The risk that a drug newly introduced into medical use will occasionally cause adverse reactions is neither negligible nor totally avoidable. Only well organized systems of monitoring can bring early detection and appropriate action. These in turn require either detailed supervision or spontaneous reporting. The paper...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780010208

    authors: Finney DJ

    更新日期:1982-04-01 00:00:00

  • Comparison of population pharmacokinetic modeling methods using simulated data: results from the Population Modeling Workgroup.

    abstract::Statistical modeling methods have had increasing use in drug disposition studies, both to estimate pharmacokinetic parameters and to develop regression models that relate these parameter estimates to patient characteristics. These methods are particularly flexible as they allow non-linearity and sparse within-patient ...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/(sici)1097-0258(19970615)16:11<1241::aid-s

    authors: Roe DJ

    更新日期:1997-06-15 00:00:00

  • Planning future studies based on the conditional power of a meta-analysis.

    abstract::Systematic reviews often provide recommendations for further research. When meta-analyses are inconclusive, such recommendations typically argue for further studies to be conducted. However, the nature and amount of future research should depend on the nature and amount of the existing research. We propose a method ba...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.5524

    authors: Roloff V,Higgins JP,Sutton AJ

    更新日期:2013-01-15 00:00:00

  • Optimal three-stage designs for phase II cancer clinical trials.

    abstract::The objective of a phase II cancer clinical trial is to screen a treatment that can produce a similar or better response rate compared to the current treatment results. This screening is usually carried out in two stages as proposed by Simon. For ineffective treatment, the trial should terminate at the first stage. En...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/(sici)1097-0258(19971215)16:23<2701::aid-s

    authors: Chen TT

    更新日期:1997-12-15 00:00:00

  • Memory and other properties of multiple test procedures generated by entangled graphs.

    abstract::Methods for addressing multiplicity in clinical trials have attracted much attention during the past 20 years. They include the investigation of new classes of multiple test procedures, such as fixed sequence, fallback and gatekeeping procedures. More recently, sequentially rejective graphical test procedures have bee...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.5711

    authors: Maurer W,Bretz F

    更新日期:2013-05-10 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

  • Practical issues in equivalence trials.

    abstract::Equivalence trials aim to show that two treatments have equivalent therapeutic effects. The approach is to define, in advance, a range of equivalence -d to +d for the treatment difference such that any value in the range is clinically unimportant. If the confidence interval for the difference, calculated after the tri...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/(sici)1097-0258(19980815/30)17:15/16<1691:

    authors: Ebbutt AF,Frith L

    更新日期:1998-08-15 00:00:00

  • Extending the c-statistic to nominal polytomous outcomes: the Polytomous Discrimination Index.

    abstract::Diagnostic problems in medicine are sometimes polytomous, meaning that the outcome has more than two distinct categories. For example, ovarian tumors can be benign, borderline, primary invasive, or metastatic. Extending the main measure of binary discrimination, the c-statistic or area under the ROC curve, to nominal ...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.5321

    authors: Van Calster B,Van Belle V,Vergouwe Y,Timmerman D,Van Huffel S,Steyerberg EW

    更新日期:2012-10-15 00:00:00

  • Analyzing longitudinal data with patients in different disease states during follow-up and death as final state.

    abstract::This paper considers the analysis of longitudinal data complicated by the fact that during follow-up patients can be in different disease states, such as remission, relapse or death. If both the response of interest (for example, quality of life (QOL)) and the amount of missing data depend on this disease state, ignor...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3755

    authors: le Cessie S,de Vries EG,Buijs C,Post WJ

    更新日期:2009-12-30 00:00:00

  • A simple test for synergy for a small number of combinations.

    abstract::A method for detecting deviations from the Loewe additive drug combination reference model for in vitro drug combination experimentation is described. It is often difficult to fit a response surface model to drug combination data, especially in situations where the experimental design contains a sparse set of combinat...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.5905

    authors: Novick SJ

    更新日期:2013-12-20 00:00:00

  • Sample size calculations for evaluating a diagnostic test when the gold standard is missing at random.

    abstract::Performance of a diagnostic test is ideally evaluated by a comparison of the test results to a gold standard for all the patients in a study. In practice, however, it is common for a subset of study patients to have the gold standard not verified (missing) due to ethical or expense considerations. Sensitivity and spec...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3899

    authors: Kosinski AS,Chen Y,Lyles RH

    更新日期:2010-07-10 00:00:00

  • Comparison of tests for categorical data from a stratified cluster randomized trial.

    abstract::Two features commonly exhibited by randomized trials of health promotion interventions are cluster randomization and stratification. Ignoring correlations between individuals within clusters can lead to an inflated type I error rate and hence a P-value which overstates the significance of the result. This paper compar...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.1256

    authors: Dobbins TA,Simpson JM

    更新日期:2002-12-30 00:00:00

  • Likelihood-based confidence intervals for a log-normal mean.

    abstract::To construct a confidence interval for the mean of a log-normal distribution in small samples, we propose likelihood-based approaches - the signed log-likelihood ratio and modified signed log-likelihood ratio methods. Extensive Monte Carlo simulation results show the advantages of the modified signed log-likelihood ra...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.1381

    authors: Wu J,Wong AC,Jiang G

    更新日期:2003-06-15 00:00:00

  • A robust goodness-of-fit test statistic with application to ordinal regression models.

    abstract::We propose a goodness-of-fit test statistic for linear regression with heterogeneous variance, which is asymptotically chi-square if the given model is correct. The test statistic is computed as a quadratic form of observed minus predicted responses. We apply the method to a linear regression for an ordinal categorica...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780130205

    authors: Lipsitz SR,Buoncristiani JF

    更新日期:1994-01-30 00:00:00

  • The statistical analysis of treatment effects in 24-hour ambulatory blood pressure recordings.

    abstract::This paper presents a statistical analysis of treatment effects in 24-hour ambulatory blood pressure recordings. The statistical models account for circadian rhythms, subject effects, and the effects of treatment with drugs or relaxation therapy. In view of the heterogeneity of the subjects, we fit a separate linear m...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.4780070608

    authors: Marler MR,Jacob RG,Lehoczky JP,Shapiro AP

    更新日期:1988-06-01 00:00:00

  • A Bayesian analysis of mixture structural equation models with non-ignorable missing responses and covariates.

    abstract::In behavioral, biomedical, and social-psychological sciences, it is common to encounter latent variables and heterogeneous data. Mixture structural equation models (SEMs) are very useful methods to analyze these kinds of data. Moreover, the presence of missing data, including both missing responses and missing covaria...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.3915

    authors: Cai JH,Song XY,Hser YI

    更新日期:2010-08-15 00:00:00

  • Cluster detection diagnostics for small area health data: with reference to evaluation of local likelihood models.

    abstract::The focus of this paper is the development of a range of cluster detection diagnostics that can be used to assess the degree to which a clustering method recovers the true clustering behaviour of small area data. The diagnostics proposed range from individual region specific diagnostics to neighbourhood diagnostics, a...

    journal_title:Statistics in medicine

    pub_type: 杂志文章

    doi:10.1002/sim.2401

    authors: Hossain MM,Lawson AB

    更新日期:2006-03-15 00:00:00