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Adaptive designs have been proposed for clinical trials in which the nuisance parameters or alternative of interest are unknown or likely to be misspecified before the trial. Whereas most previous works on adaptive designs and mid-course…

Methodology · Statistics 2011-05-18 Jay Bartroff , Tze Leung Lai

Variable selection naturally arises as a useful subject when faced with data with massive predictor space. In addition to the massive dimensionality, the data may be characterized by intra-subject correlation, and cure fraction, which are…

Methodology · Statistics 2025-12-24 Richard Tawiah , Shu Kay Ng , Geoffrey J. McLachlan

There is a growing interest in cell-type-specific analysis from bulk samples with a mixture of different cell types. A critical first step in such analyses is the accurate estimation of cell-type proportions in a bulk sample. Although many…

Methodology · Statistics 2022-09-12 Biao Cai , Jingfei Zhang , Hongyu Li , Chang Su , Hongyu Zhao

Cluster-randomized experiments are widely used due to their logistical convenience and policy relevance. To analyze them properly, we must address the fact that the treatment is assigned at the cluster level instead of the individual level.…

Methodology · Statistics 2021-08-06 Fangzhou Su , Peng Ding

Background and objective: The stepped wedge cluster randomized trial is a study design increasingly used for public health intervention evaluations. Most previous literature focuses on power calculations for this particular type of cluster…

Applications · Statistics 2021-07-07 Jiachen Chen , Xin Zhou , Fan Li , Donna Spiegelman

This paper studies inference in cluster randomized trials where treatment status is determined according to a "matched pairs" design. Here, by a cluster randomized experiment, we mean one in which treatment is assigned at the level of the…

Econometrics · Economics 2025-08-14 Yuehao Bai , Jizhou Liu , Azeem M. Shaikh , Max Tabord-Meehan

The coupled cluster iteration scheme is analysed as a multivariate discrete-time map using nonlinear dynamics and synergetics. The nonlinearly coupled set of equations to determine the cluster amplitudes are driven by a fraction of the…

Computational Physics · Physics 2021-10-13 Valay Agarawal , Chayan Patra , Rahul Maitra

Cluster algorithms are increasingly popular in biomedical research due to their compelling ability to identify discrete subgroups in data, and their increasing accessibility in mainstream software. While guidelines exist for algorithm…

Machine Learning · Statistics 2021-05-26 E. S. Dalmaijer , C. L. Nord , D. E. Astle

Clustering and dependence are common in trials. For example, in some cluster randomized trials (CRTs), pre-existing clusters are enrolled, randomized, and serve as the basis of intervention delivery. Such CRTs are "fully clustered":…

In stepped wedge cluster randomized trials (SW-CRTs), the intervention is rolled out to clusters over multiple periods. A standard approach for analyzing SW-CRTs utilizes the linear mixed model, where the treatment effect is only present…

Longitudinal studies are often conducted to explore the cohort and age effects in many scientific areas. The within cluster correlation structure plays a very important role in longitudinal data analysis. This is because not only can an…

Statistics Theory · Mathematics 2008-12-18 Yan Sun , Wenyang Zhang , Howell Tong

Inferring cluster structure in microarray datasets is a fundamental task for the -omic sciences. A fundamental question in Statistics, Data Analysis and Classification, is the prediction of the number of clusters in a dataset, usually…

Data Structures and Algorithms · Computer Science 2011-02-16 Filippo Utro

The development of cluster computing frameworks has allowed practitioners to scale out various statistical estimation and machine learning algorithms with minimal programming effort. This is especially true for machine learning problems…

Machine Learning · Statistics 2019-06-24 Robin Vogel , Aurélien Bellet , Stephan Clémençon , Ons Jelassi , Guillaume Papa

Model selection in latent block models has been a challenging but important task in the field of statistics. Specifically, a major challenge is encountered when constructing a test on a block structure obtained by applying a specific…

Machine Learning · Statistics 2021-06-08 Chihiro Watanabe , Taiji Suzuki

Background: In settings where proof-of-principle trials have succeeded but the effectiveness of different forms of implementation remains uncertain, trials that not only generate information about intervention effects but also provide…

Quantitative Methods · Quantitative Biology 2017-05-16 Guy Harling , Rui Wang , Jukka-Pekka Onnela , Victor De Gruttola

Group sequential designs drive innovation in clinical, industrial, and corporate settings. Early stopping for failure in sequential designs conserves experimental resources, whereas early stopping for success accelerates access to improved…

Methodology · Statistics 2025-11-27 Luke Hagar , Shirin Golchi , Marina B. Klein

The Regression Discontinuity Design (RDD) is a quasi-experimental design that estimates the causal effect of a treatment when its assignment is defined by a threshold value for a continuous assignment variable. The RDD assumes that subjects…

Applications · Statistics 2020-03-27 Federico Ricciardi , Silvia Liverani , Gianluca Baio

In this tutorial-style review we discuss basic concepts of coupled cluster theory and recent developments that increase its computational efficiency for calculations of molecules, solids and materials in general. We will touch upon the…

Materials Science · Physics 2020-04-15 Igor Ying Zhang , Andreas Grüneis

Staggered rollout cluster randomized experiments (SR-CREs) involve sequential treatment adoption across clusters, requiring analysis methods that address a general class of dynamic causal effects, anticipation, and non-ignorable…

Methodology · Statistics 2026-02-02 Xinyuan Chen , Fan Li

Linear mixed models are commonly used in analyzing stepped-wedge cluster randomized trials (SW-CRTs). A key consideration for analyzing a SW-CRT is accounting for the potentially complex correlation structure, which can be achieved by…

Methodology · Statistics 2024-08-21 Yongdong Ouyang , Monica Taljaard , Andrew B Forbes , Fan Li