Optimally weighted L(2) distance for functional data.

Abstract:

:Many techniques of functional data analysis require choosing a measure of distance between functions, with the most common choice being L2 distance. In this article we show that using a weighted L2 distance, with a judiciously chosen weight function, can improve the performance of various statistical methods for functional data, including k-medoids clustering, nonparametric classification, and permutation testing. Assuming a quadratically penalized (e.g., spline) basis representation for the functional data, we consider three nontrivial weight functions: design density weights, inverse-variance weights, and a new weight function that minimizes the coefficient of variation of the resulting squared distance by means of an efficient iterative procedure. The benefits of weighting, in particular with the proposed weight function, are demonstrated both in simulation studies and in applications to the Berkeley growth data and a functional magnetic resonance imaging data set.

journal_name

Biometrics

journal_title

Biometrics

authors

Chen H,Reiss PT,Tarpey T

doi

10.1111/biom.12161

subject

Has Abstract

pub_date

2014-09-01 00:00:00

pages

516-25

issue

3

eissn

0006-341X

issn

1541-0420

journal_volume

70

pub_type

杂志文章
  • Bayesian survival analysis using a MARS model.

    abstract::A Bayesian multivariate adaptive regression spline fitting approach is used to model univariate and multivariate survival data with censoring. The possible models contain the proportional hazards model as a subclass and automatically detect departures from this. A reversible jump Markov chain Monte Carlo algorithm is ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.1999.01071.x

    authors: Mallick BK,Denison DG,Smith AF

    更新日期:1999-12-01 00:00:00

  • Semiparametric estimation of proportional mean residual life model in presence of censoring.

    abstract::A mean residual life function is the average remaining life of a surviving subject, as it varies with time. The proportional mean residual life model was proposed by Oakes and Dasu (1990, Biometrika77, 409-410) in regression analysis to study its association with related covariates in absence of censoring. In this art...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341X.2005.030224.x

    authors: Chen YQ,Jewell NP,Lei X,Cheng SC

    更新日期:2005-03-01 00:00:00

  • Power and sample size for testing homogeneity of relative risks in prospective studies.

    abstract::Power and sample-size formulas for testing the homogeneity of relative risks using the score method are presented. The homogeneity score test (Gart, 1985, Biometrika 72, 673-677) is formally equivalent to the Pearson chi-square test, although they look different. Results of this paper may be useful in assessing the va...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.1999.00289.x

    authors: Nam JM

    更新日期:1999-03-01 00:00:00

  • Robust semiparametric microarray normalization and significance analysis.

    abstract::Microarray technology allows the monitoring of expression levels of thousands of genes simultaneously. A semiparametric location and scale model is proposed to model gene expression levels for normalization and significance analysis purposes. Robust estimation based on weighted least absolute deviation regression and ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2005.00452.x

    authors: Ma S,Kosorok MR,Huang J,Xie H,Manzella L,Soares MB

    更新日期:2006-06-01 00:00:00

  • Variable selection for logistic regression using a prediction-focused information criterion.

    abstract::In biostatistical practice, it is common to use information criteria as a guide for model selection. We propose new versions of the focused information criterion (FIC) for variable selection in logistic regression. The FIC gives, depending on the quantity to be estimated, possibly different sets of selected variables....

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2006.00567.x

    authors: Claeskens G,Croux C,Van Kerckhoven J

    更新日期:2006-12-01 00:00:00

  • Confidence intervals for the generalized ROC criterion.

    abstract::Receiver operating characteristic (ROC) curves are frequently used to assess the usefulness of diagnostic markers. When several diagnostic markers are available, they can be combined by a best linear combination: that is, when the area under the ROC curve of this combination is maximized among all possible linear comb...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Reiser B,Faraggi D

    更新日期:1997-06-01 00:00:00

  • A comparison of methods for estimating the causal effect of a treatment in randomized clinical trials subject to noncompliance.

    abstract:SUMMARY:We consider the analysis of clinical trials that involve randomization to an active treatment (T = 1) or a control treatment (T = 0), when the active treatment is subject to all-or-nothing compliance. We compare three approaches to estimating treatment efficacy in this situation: as-treated analysis, per-protoc...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2008.01066.x

    authors: Little RJ,Long Q,Lin X

    更新日期:2009-06-01 00:00:00

  • Interval estimation of the risk ratio between a secondary infection, given a primary infection, and the primary infection.

    abstract::This paper discusses interval estimation of the risk ratio (RR) between a secondary infection, given a primary infection, and the primary infection. Three asymptotic closed-form interval estimators are developed using Wald's test statistic, the logarithmic transformation, and Fieller's theorem. The performance of thes...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Lui KJ

    更新日期:1998-06-01 00:00:00

  • Adaptive line transect sampling.

    abstract::Adaptive line transect sampling offers the potential of improved population density estimation efficiency over conventional line transect sampling when populations are spatially clustered. In adaptive sampling, survey effort is increased when areas of high animal density are located, thereby increasing the number of o...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2002.00862.x

    authors: Pollard JH,Palka D,Buckland ST

    更新日期:2002-12-01 00:00:00

  • Sequential treatment assignment with balancing for prognostic factors in the controlled clinical trial.

    abstract::In controlled clinical trials there are usually several prognostic factors known or thought to influence the patient's ability to respond to treatment. Therefore, the method of sequential treatment assignment needs to be designed so that treatment balance is simultaneously achieved across all such patients factor. Tra...

    journal_title:Biometrics

    pub_type: 临床试验,杂志文章

    doi:

    authors: Pocock SJ,Simon R

    更新日期:1975-03-01 00:00:00

  • Real-time individual predictions of prostate cancer recurrence using joint models.

    abstract::Patients who were previously treated for prostate cancer with radiation therapy are monitored at regular intervals using a laboratory test called Prostate Specific Antigen (PSA). If the value of the PSA test starts to rise, this is an indication that the prostate cancer is more likely to recur, and the patient may wis...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2012.01823.x

    authors: Taylor JM,Park Y,Ankerst DP,Proust-Lima C,Williams S,Kestin L,Bae K,Pickles T,Sandler H

    更新日期:2013-03-01 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

  • A Bayesian hidden Markov model for detecting differentially methylated regions.

    abstract::Alterations in DNA methylation have been linked to the development and progression of many diseases. The bisulfite sequencing technique presents methylation profiles at base resolution. Count data on methylated and unmethylated reads provide information on the methylation level at each CpG site. As more bisulfite sequ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.13000

    authors: Ji T

    更新日期:2019-06-01 00:00:00

  • Multi-subgroup gene screening using semi-parametric hierarchical mixture models and the optimal discovery procedure: Application to a randomized clinical trial in multiple myeloma.

    abstract::This article proposes an efficient approach to screening genes associated with a phenotypic variable of interest in genomic studies with subgroups. In order to capture and detect various association profiles across subgroups, we flexibly estimate the underlying effect size distribution across subgroups using a semi-pa...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12716

    authors: Matsui S,Noma H,Qu P,Sakai Y,Matsui K,Heuck C,Crowley J

    更新日期:2018-03-01 00:00:00

  • A one-step-ahead pseudo-DIC for comparison of Bayesian state-space models.

    abstract::In the context of state-space modeling, conventional usage of the deviance information criterion (DIC) evaluates the ability of the model to predict an observation at time t given the underlying state at time t. Motivated by the failure of conventional DIC to clearly choose between competing multivariate nonlinear Bay...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12237

    authors: Millar RB,McKechnie S

    更新日期:2014-12-01 00:00:00

  • Group sequential tests for bivariate response: interim analyses of clinical trials with both efficacy and safety endpoints.

    abstract::We describe group sequential tests for a bivariate response. The tests are defined in terms of the two response components jointly, rather than through a single summary statistic. Such methods are appropriate when the two responses concern different aspects of a treatment; for example, one might wish to show that a ne...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Jennison C,Turnbull BW

    更新日期:1993-09-01 00:00:00

  • A composite likelihood approach to latent multivariate Gaussian modeling of SNP data with application to genetic association testing.

    abstract::Many statistical tests have been proposed for case-control data to detect disease association with multiple single nucleotide polymorphisms (SNPs) in linkage disequilibrium. The main reason for the existence of so many tests is that each test aims to detect one or two aspects of many possible distributional difference...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2011.01649.x

    authors: Han F,Pan W

    更新日期:2012-03-01 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

  • Adjusted regression trend test for a multicenter clinical trial.

    abstract::Studies using a series of increasing doses of a compound, including a zero dose control, are often conducted to study the effect of the compound on the response of interest. For a one-way design, Tukey et al. (1985, Biometrics 41, 295-301) suggested assessing trend by examining the slopes of regression lines under ari...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.1999.00460.x

    authors: Quan H,Capizzi T

    更新日期:1999-06-01 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

  • A discrete time event-history approach to informative drop-out in mixed latent Markov models with covariates.

    abstract::Mixed latent Markov (MLM) models represent an important tool of analysis of longitudinal data when response variables are affected by time-fixed and time-varying unobserved heterogeneity, in which the latter is accounted for by a hidden Markov chain. In order to avoid bias when using a model of this type in the presen...

    journal_title:Biometrics

    pub_type: 杂志文章,随机对照试验

    doi:10.1111/biom.12224

    authors: Bartolucci F,Farcomeni A

    更新日期:2015-03-01 00:00:00

  • Estimating treatment effect in a proportional hazards model in randomized clinical trials with all-or-nothing compliance.

    abstract::We consider methods for estimating the treatment effect and/or the covariate by treatment interaction effect in a randomized clinical trial under noncompliance with time-to-event outcome. As in Cuzick et al. (2007), assuming that the patient population consists of three (possibly latent) subgroups based on treatment p...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12472

    authors: Li S,Gray RJ

    更新日期:2016-09-01 00:00:00

  • Validity of tests under covariate-adaptive biased coin randomization and generalized linear models.

    abstract::Some covariate-adaptive randomization methods have been used in clinical trials for a long time, but little theoretical work has been done about testing hypotheses under covariate-adaptive randomization until Shao et al. (2010) who provided a theory with detailed discussion for responses under linear models. In this a...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12062

    authors: Shao J,Yu X

    更新日期:2013-12-01 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

  • Testing for Hardy-Weinberg equilibrium.

    abstract::The class of admissible tests for Hardy-Weinberg equilibrium in a multi-allelic system is characterized. The standard goodness-of-fit chi-square tests is shown to be admissible for systems of two or more alleles. The conditional probability distribution required to determine the exact significance level of this test i...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Ledwina T,Gnot S

    更新日期:1980-03-01 00:00:00

  • Capitalizing on opportunistic data for monitoring relative abundances of species.

    abstract::With the internet, a massive amount of information on species abundance can be collected by citizen science programs. However, these data are often difficult to use directly in statistical inference, as their collection is generally opportunistic, and the distribution of the sampling effort is often not known. In this...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12431

    authors: Giraud C,Calenge C,Coron C,Julliard R

    更新日期:2016-06-01 00:00:00

  • Assessing reproducibility by the within-subject coefficient of variation with random effects models.

    abstract::In this paper we consider the use of within-subject coefficient of variation (WCV) for assessing the reproducibility or reliability of a measurement. Application to assessing reproducibility of biochemical markers for measuring bone turnover is described and the comparison with intraclass correlation is discussed. Bot...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Quan H,Shih WJ

    更新日期:1996-12-01 00:00:00

  • A general noninteractive multiple toxicity model including probit, logit, and Weibull transformations.

    abstract::A multiple toxicity model for the quantal response of organisms is constructed based on an existing bivariate theory. The main assumption is that the tolerances follow a multivariate normal distribution function. However, any monotone tolerance distribution can be applied by mapping the integration region in the n-dim...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Christensen ER,Chen CY

    更新日期:1985-09-01 00:00:00

  • A moving blocks empirical likelihood method for longitudinal data.

    abstract::In the analysis of longitudinal or panel data, neglecting the serial correlations among the repeated measurements within subjects may lead to inefficient inference. In particular, when the number of repeated measurements is large, it may be desirable to model the serial correlations more generally. An appealing approa...

    journal_title:Biometrics

    pub_type: 杂志文章,随机对照试验

    doi:10.1111/biom.12317

    authors: Qiu J,Wu L

    更新日期:2015-09-01 00:00:00

  • Models for circular-linear and circular-circular data constructed from circular distributions based on nonnegative trigonometric sums.

    abstract::Johnson and Wehrly (1978, Journal of the American Statistical Association 73, 602-606) and Wehrly and Johnson (1980, Biometrika 67, 255-256) show one way to construct the joint distribution of a circular and a linear random variable, or the joint distribution of a pair of circular random variables from their marginal ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2006.00716.x

    authors: Fernández-Durán JJ

    更新日期:2007-06-01 00:00:00