A comparison of several point estimators of the odds ratio in a single 2 x 2 contingency table.

Abstract:

:The relative performance of the unconditioned maximum likelihood estimators (UMLEs), conditional MLEs (CMLEs), and Jewell-type estimators of the odds ratio (OR) and its logarithm were investigated in sets of single 2 x 2 contingency tables. The tables were generated by complete enumeration of all possible cell frequencies consistent with a single fixed margin. The bias, mean squared error (MSE), and average absolute error (AAE) were computed for all estimators using the individual table probabilities as weights. The results showed that, for the OR, Jewell's estimator usually had smaller bias, MSE, and AAE than either of the MLEs. While the differences were often slight for MSE and AAE, for bias it was sometimes substantial. For the log(OR), the UMLE usually had the lowest bias, and its MSE and AAE were only slightly greater than those for the other estimators. Overall, we recommend estimation on the log scale using the UMLE. If OR is to be estimated, Jewell's method had strong merit, although it is nonsymmetric with respect to the table orientation. In view of this, the UMLE may again be favoured in some situations.

journal_name

Biometrics

journal_title

Biometrics

authors

Walter SD,Cook RJ

subject

Has Abstract

pub_date

1991-09-01 00:00:00

pages

795-811

issue

3

eissn

0006-341X

issn

1541-0420

journal_volume

47

pub_type

杂志文章
  • 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

  • Basal body temperature, ovulation and the risk of conception, with special reference to the lifetimes of sperm and egg.

    abstract::The risks of conception, due to sexual intercourse at various times before and after the periovulatory rise in the woman's basal body temperature, are evaluated. In general, the risk is small nine or more days before, and two or more days after, the first day of elevated temperature. The model for the conception proba...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Royston JP

    更新日期:1982-06-01 00:00:00

  • Two-stage designs for gene-disease association studies with sample size constraints.

    abstract::Gene-disease association studies based on case-control designs may often be used to identify candidate polymorphisms (markers) conferring disease risk. If a large number of markers are studied, genotyping all markers on all samples is inefficient in resource utilization. Here, we propose an alternative two-stage metho...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341X.2004.00207.x

    authors: Satagopan JM,Venkatraman ES,Begg CB

    更新日期:2004-09-01 00:00:00

  • Further aspects of a Markovian sampling policy for water quality monitoring.

    abstract::In this paper, a Markov process is developed as a mathematical model to study the general problem of quality control monitoring. This approach was previously used by Arnold (1970) in development of sampling plans to study the water quality monitoring of streams. Arnold considered the expected sample size required for ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Smeach SC,Jernigan RW

    更新日期:1977-03-01 00:00:00

  • Multilevel functional clustering analysis.

    abstract::In this article, we investigate clustering methods for multilevel functional data, which consist of repeated random functions observed for a large number of units (e.g., genes) at multiple subunits (e.g., bacteria types). To describe the within- and between variability induced by the hierarchical structure in the data...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2011.01714.x

    authors: Serban N,Jiang H

    更新日期:2012-09-01 00:00:00

  • Multivariate bioassay, combination of bioassays, and Fieller's theorem.

    abstract::In this paper alternative methods for estimating the relative potency, its confidence intervals, and testing for proportionality are developed for multivariate bioassays. The test and estimate are based on the smaller characteristic root and the corresponding characteristic vector of a 2 X 2 matrix. The same idea is a...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Srivastava MS

    更新日期:1986-03-01 00:00:00

  • Improved dynamic predictions from joint models of longitudinal and survival data with time-varying effects using P-splines.

    abstract::In the field of cardio-thoracic surgery, valve function is monitored over time after surgery. The motivation for our research comes from a study which includes patients who received a human tissue valve in the aortic position. These patients are followed prospectively over time by standardized echocardiographic assess...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12814

    authors: Andrinopoulou ER,Eilers PHC,Takkenberg JJM,Rizopoulos D

    更新日期:2018-06-01 00:00:00

  • Testing nonlinear regression parameters under heteroscedastic, normally distributed errors.

    abstract::Likelihood ratio tests for parameters estimated assuming normally distributed errors are examined under a variety of homoscedastic and heteroscedastic variance assumptions. It is assumed that gamma ij, the jth observation from the ith population, is distributed as N[mu(chi ij, beta i), (sigma i mu(chi ij, beta i)theta...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Kimura DK

    更新日期:1990-09-01 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

  • Selecting the smoothing parameter for estimation of slowly changing evoked potential signals.

    abstract::Brain evoked potential (EP) data consist of a true response ("signal") and random background activity ("noise"), which are observed over repeated stimulus presentations ("trials"). A signal that changes slowly from trial to trial can be estimated by smoothing across trials and over time within trials. We present a met...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Raz J,Turetsky B,Fein G

    更新日期:1989-09-01 00:00:00

  • Ultra high-dimensional semiparametric longitudinal data analysis.

    abstract::As ultra high-dimensional longitudinal data are becoming ever more apparent in fields such as public health and bioinformatics, developing flexible methods with a sparse model is of high interest. In this setting, the dimension of the covariates can potentially grow exponentially as ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.13348

    authors: Green B,Lian H,Yu Y,Zu T

    更新日期:2020-08-04 00:00:00

  • A biological marker model for predicting disease transitions.

    abstract::For patients with chronic myelogenous leukemia (CML), the effect of elevated blood levels of adenosine deaminase (ADA) is studied as a marker for transitions from stable disease to blast crisis and then to death. Data in the form of snapshots over time, with day, state of disease, and ADA level, are analyzed for 55 pa...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Klein JP,Klotz JH,Grever MR

    更新日期:1984-12-01 00:00:00

  • Aberrant crypt foci and semiparametric modeling of correlated binary data.

    abstract::Motivated by the spatial modeling of aberrant crypt foci (ACF) in colon carcinogenesis, we consider binary data with probabilities modeled as the sum of a nonparametric mean plus a latent Gaussian spatial process that accounts for short-range dependencies. The mean is modeled in a general way using regression splines....

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.1541-0420.2007.00892.x

    authors: Apanasovich TV,Ruppert D,Lupton JR,Popovic N,Turner ND,Chapkin RS,Carroll RJ

    更新日期:2008-06-01 00:00:00

  • Semiparametric maximum likelihood for nonlinear regression with measurement errors.

    abstract::This article demonstrates semiparametric maximum likelihood estimation of a nonlinear growth model for fish lengths using imprecisely measured ages. Data on the species corvina reina, found in the Gulf of Nicoya, Costa Rica, consist of lengths and imprecise ages for 168 fish and precise ages for a subset of 16 fish. T...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2002.00448.x

    authors: Suh EY,Schafer DW

    更新日期:2002-06-01 00:00:00

  • A unifying family of group sequential test designs.

    abstract::Currently, the design of group sequential clinical trials requires choosing among several distinct design categories, design scales, and strategies for determining stopping rules. This approach can limit the design selection process so that clinical issues are not fully addressed. This paper describes a family of desi...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.1999.00874.x

    authors: Kittelson JM,Emerson SS

    更新日期:1999-09-01 00:00:00

  • Estimation and interpretation of heterogeneous vaccine efficacy against recurrent infections.

    abstract::Vaccine-induced protection may not be homogeneous across individuals. It is possible that a vaccine gives complete protection for a portion of individuals, while the rest acquire only incomplete (leaky) protection of varying magnitude. If vaccine efficacy is estimated under wrong assumptions about such individual leve...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12473

    authors: Mehtälä J,Dagan R,Auranen K

    更新日期:2016-09-01 00:00:00

  • Maximum likelihood estimation for incomplete repeated-measures experiments under an ARMA covariance structure.

    abstract::A stochastic model is presented for the analysis of incomplete repeated-measures experiments. The general linear model is used to relate the response measures to other variables which are thought to account for inherent variation; an autoregressive moving average (ARMA) time series representation is used to model dist...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Rochon J,Helms RW

    更新日期:1989-03-01 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

  • An adaptive trial design to optimize dose-schedule regimes with delayed outcomes.

    abstract::This paper proposes a two-stage phase I-II clinical trial design to optimize dose-schedule regimes of an experimental agent within ordered disease subgroups in terms of the toxicity-efficacy trade-off. The design is motivated by settings where prior biological information indicates it is certain that efficacy will imp...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.13116

    authors: Lin R,Thall PF,Yuan Y

    更新日期:2020-03-01 00:00:00

  • The use of score tests for inference on variance components.

    abstract::Whenever inference for variance components is required, the choice between one-sided and two-sided tests is crucial. This choice is usually driven by whether or not negative variance components are permitted. For two-sided tests, classical inferential procedures can be followed, based on likelihood ratios, score stati...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/1541-0420.00032

    authors: Verbeke G,Molenberghs G

    更新日期:2003-06-01 00:00:00

  • Variable selection and prediction using a nested, matched case-control study: Application to hospital acquired pneumonia in stroke patients.

    abstract::Matched case-control designs are commonly used in epidemiologic studies for increased efficiency. These designs have recently been introduced to the setting of modern imaging and genomic studies, which are characterized by high-dimensional covariates. However, appropriate statistical analyses that adjust for the match...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12113

    authors: Qian J,Payabvash S,Kemmling A,Lev MH,Schwamm LH,Betensky RA

    更新日期:2014-03-01 00:00:00

  • Alternative estimation procedures for Pr(X less than Y) in categorized data.

    abstract::Consider two independent random variables X and Y. The functional R = Pr(X less than Y) [or gamma = Pr(X less than Y) - Pr(Y less than X)] is of practical importance in many situations, including clinical trials, genetics, and reliability. In this paper several approaches to estimation of gamma when X and Y are presen...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Simonoff JS,Hochberg Y,Reiser B

    更新日期:1986-12-01 00:00:00

  • Spatial regression and spillover effects in cluster randomized trials with count outcomes.

    abstract::This paper describes methodology for analyzing data from cluster randomized trials with count outcomes, taking indirect effects as well spatial effects into account. Indirect effects are modeled using a novel application of a measure of depth within the intervention arm. Both direct and indirect effects can be estimat...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.13316

    authors: Anaya-Izquierdo K,Alexander N

    更新日期:2020-06-18 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

  • On the use of the variogram in checking for independence in spatial data.

    abstract::The variogram is a standard tool in the analysis of spatial data, and its shape provides useful information on the form of spatial correlation that may be present. However, it is also useful to be able to assess the evidence for the presence of any spatial correlation. A method of doing this, based on an assessment of...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2001.00211.x

    authors: Diblasi A,Bowman AW

    更新日期:2001-03-01 00:00:00

  • Comment on "Wang et al. (2005), Robust estimating functions and bias correction for longitudinal data analysis".

    abstract::This note provides a discussion on the manuscript by Wang et al. (2005) who aim to robustify inference for longitudinal data analysis by replacing the ordinary generalized estimating function with an influence-bounded, possibly biased, version. To adjust for the bias of the ensuing robust estimator, the authors provid...

    journal_title:Biometrics

    pub_type: 信件

    doi:10.1111/biom.13263

    authors: Lunardon N,Menardi G

    更新日期:2020-09-01 00:00:00

  • The proportional odds cumulative incidence model for competing risks.

    abstract::We suggest an estimator for the proportional odds cumulative incidence model for competing risks data. The key advantage of this model is that the regression parameters have the simple and useful odds ratio interpretation. The model has been considered by many authors, but it is rarely used in practice due to the lack...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.12330

    authors: Eriksson F,Li J,Scheike T,Zhang MJ

    更新日期:2015-09-01 00:00:00

  • A stochastic model for censored-survival data in the presence of an auxiliary variable.

    abstract::In clinical trials and other investigations of survival time, information is often available on a time-dependent event other than survival. An example of such an auxiliary event in cancer studies is objective progression of disease. While some patients expire without experiencing objective disease progression, others ...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:

    authors: Lagakos SW

    更新日期:1976-09-01 00:00:00

  • Latent variable models for longitudinal data with multiple continuous outcomes.

    abstract::Multiple outcomes are often used to properly characterize an effect of interest. This paper proposes a latent variable model for the situation where repeated measures over time are obtained on each outcome. These outcomes are assumed to measure an underlying quantity of main interest from different perspectives. We re...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/j.0006-341x.2000.01047.x

    authors: Roy J,Lin X

    更新日期:2000-12-01 00:00:00

  • On symmetric semiparametric two-sample problem.

    abstract::We consider a two-sample problem where data come from symmetric distributions. Usual two-sample data with only magnitudes recorded, arising from case-control studies or logistic discriminant analyses, may constitute a symmetric two-sample problem. We propose a semiparametric model such that, in addition to symmetry, t...

    journal_title:Biometrics

    pub_type: 杂志文章

    doi:10.1111/biom.13233

    authors: Li M,Diao G,Qin J

    更新日期:2020-12-01 00:00:00