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We consider a permutation method for testing whether observations given in their natural pairing exhibit an unusual level of similarity in situations where any two observations may be similar at some unknown baseline level. Under a null…

Statistics Theory · Mathematics 2007-06-13 Larry Goldstein , Yosef Rinott

Many probabilistic models that have an intractable normalizing constant may be extended to contain covariates. Since the evaluation of the exact likelihood is difficult or even impossible for these models, score matching was proposed to…

Statistics Theory · Mathematics 2022-03-21 Jiazhen Xu , Janice L. Scealy , Andrew T. A. Wood , Tao Zou

We propose a method of testing the shift between mean vectors of two multivariate Gaussian random variables in a high-dimensional setting incorporating the possible dependency and allowing $p > n$. This method is a combination of two…

Methodology · Statistics 2019-12-24 Tzviel Frostig , Yoav Benjamini

Score matching is an estimation procedure that has been developed for statistical models whose probability density function is known up to proportionality but whose normalizing constant is intractable, so that maximum likelihood is…

Methodology · Statistics 2024-04-23 Jiazhen Xu , Janice L. Scealy , Andrew T. A. Wood , Tao Zou

A randomized trial and an analysis of observational data designed to emulate the trial sample observations separately, but have the same eligibility criteria, collect information on some shared baseline covariates, and compare the effects…

Methodology · Statistics 2022-03-29 Issa J. Dahabreh , Jon A. Steingrimsson , James M. Robins , Miguel A. Hernán

In paired design studies, it is common to have multiple measurements taken for the same set of subjects under different conditions. In observational studies, it is many times of interest to conduct pair matching on multiple covariates…

Methodology · Statistics 2021-09-21 Jingru Zhang , Hao Chen , Xiao-Hua Zhou

In clinical trials studying paired parts of a subject with binary outcomes, it is expected to collect measurements bilaterally. However, there are cases where subjects contribute measurements for only one part. By utilizing combined data,…

Applications · Statistics 2024-03-06 Shuyi Liang , Kai-Tai Fang , Xin-Wei Huang , Yijing Xin , Chang-Xing Ma

Many important problems in psychology and biomedical studies require testing for overdispersion, correlation and heterogeneity in mixed effects and latent variable models, and score tests are particularly useful for this purpose. But the…

Statistics Theory · Mathematics 2007-06-13 Hongtu Zhu , Heping Zhang

We introduce equivalence testing procedures for linear regression analyses. Such tests can be very useful for confirming the lack of a meaningful association between a continuous outcome and a continuous or binary predictor. Specifically,…

Methodology · Statistics 2023-05-17 Harlan Campbell

Measurements are generally collected as unilateral or bilateral data in clinical trials or observational studies. For example, in ophthalmologic studies, statistical tests are often based on one or two eyes of an individual. For bilateral…

Methodology · Statistics 2020-10-08 Chang-Xing Ma , Kejia Wang

Logistic-regression calibration and fusion are potential steps in the calculation of forensic likelihood ratios. The present paper provides a tutorial on logistic-regression calibration and fusion at a practical conceptual level with…

Applications · Statistics 2021-04-20 Geoffrey Stewart Morrison

For high-dimensional small sample size data, Hotelling's T2 test is not applicable for testing mean vectors due to the singularity problem in the sample covariance matrix. To overcome the problem, there are three main approaches in the…

Methodology · Statistics 2020-03-11 Zongliang Hu , Tiejun Tong , Marc G. Genton

Directional inference for vector parameters based on higher order approximations in likelihood inference has recently been developed in the literature. Here we explore examples of directional inference where the calculations can be…

Statistics Theory · Mathematics 2018-08-14 Andrew McCormack , Nancy Reid , Nicola Sartori , Sri-Amirthan Theivendran

A number of applications require two-sample testing on ranked preference data. For instance, in crowdsourcing, there is a long-standing question of whether pairwise comparison data provided by people is distributed similar to…

Machine Learning · Statistics 2020-11-20 Charvi Rastogi , Sivaraman Balakrishnan , Nihar B. Shah , Aarti Singh

Intraclass correlation in bilateral data has been investigated in recent decades with various statistical methods. In practice, stratifying bilateral data by some control variables will provide more sophisticated statistical results to…

Methodology · Statistics 2023-03-24 Wanqing Tian , Chang-Xing Ma

Optimal propensity score matching has emerged as one of the most ubiquitous approaches for causal inference studies on observational data; However, outstanding critiques of the statistical properties of propensity score matching have cast…

This paper studies covariate adjusted estimation of the average treatment effect in stratified experiments. We work in a general framework that includes matched tuples designs, coarse stratification, and complete randomization as special…

Econometrics · Economics 2024-07-23 Max Cytrynbaum

The paper studies nonstationary high-dimensional vector autoregressions of order $k$, VAR($k$). Additional deterministic terms such as trend or seasonality are allowed. The number of time periods, $T$, and the number of coordinates, $N$,…

Econometrics · Economics 2023-11-29 Anna Bykhovskaya , Vadim Gorin

The score test statistic using the observed information is easy to compute numerically. Its large sample distribution under the null hypothesis is well known and is equivalent to that of the score test based on the expected information, the…

Statistics Theory · Mathematics 2018-08-10 N. Karavarsamis , G. Guillera-Arroita , RM Huggins , B J T Morgan

Assume that we have a random sample from an absolutely continuous distribution (univariate, or multivariate) with a known functional form and some unknown parameters. In this paper, we have studied several parametric tests based on…

Statistics Theory · Mathematics 2024-05-14 Rahul Singh , Neeraj Misra
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