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Recently, Eklund et al. (2016) analyzed clustering methods in standard FMRI packages: AFNI (which we maintain), FSL, and SPM [1]. They claimed: 1) false positive rates (FPRs) in traditional approaches are greatly inflated, questioning the…

Quantitative Methods · Quantitative Biology 2022-06-08 Robert W. Cox , Gang Chen , Daniel R. Glen , Richard C. Reynolds , Paul A. Taylor

Recent reports of inflated false positive rates (FPRs) in FMRI group analysis tools by Eklund et al. (2016) have become a large topic within (and outside) neuroimaging. They concluded that: existing parametric methods for determining…

Quantitative Methods · Quantitative Biology 2017-02-17 Robert W. Cox , Gang Chen , Daniel R. Glen , Richard C. Reynolds , Paul A. Taylor

A recent Editorial by Slotnick (2017) reconsiders the findings of our paper on the accuracy of false positive rate control with cluster inference in fMRI (Eklund et al, 2016), in particular criticising our use of resting state fMRI data as…

Applications · Statistics 2017-01-19 Thomas E. Nichols , Anders Eklund , Hans Knutsson

The most widely used task fMRI analyses use parametric methods that depend on a variety of assumptions. While individual aspects of these fMRI models have been evaluated, they have not been evaluated in a comprehensive manner with empirical…

Applications · Statistics 2016-07-14 Anders Eklund , Thomas Nichols , Hans Knutsson

Clustering is a well-established technique in machine learning and data analysis, widely used across various domains. Cluster validity indices, such as the Average Silhouette Width, Calinski-Harabasz, and Davies-Bouldin indices, play a…

Machine Learning · Computer Science 2026-04-16 Renato Cordeiro de Amorim , Vladimir Makarenkov

In their recent "Cluster Failure" paper, Eklund and colleagues cast doubt on the accuracy of a widely used statistical test in functional neuroimaging. Here, we leverage nonparametric methods that control the false discovery rate to offer…

Applications · Statistics 2016-08-04 Daniel Kessler , Michael Angstadt , Chandra Sripada

As a well-known clustering algorithm, Fuzzy C-Means (FCM) allows each input sample to belong to more than one cluster, providing more flexibility than non-fuzzy clustering methods. However, the accuracy of FCM is subject to false detections…

Artificial Intelligence · Computer Science 2017-05-31 Meysam Ghaffari , Nasser Ghadiri

The clustering task consists in partitioning elements of a sample into homogeneous groups. Most datasets contain individuals that are ambiguous and intrinsically difficult to attribute to one or another cluster. However, in practical…

Statistics Theory · Mathematics 2023-10-26 Ariane Marandon , Tabea Rebafka , Etienne Roquain , Nataliya Sokolovska

The standard approach to the analysis of functional magnetic resonance imaging (FMRI) data applies various preprocessing steps to the original FMRI. These preprocessings lead to a general underestimation of residual variance in the…

Applications · Statistics 2018-09-20 Thomas Wilhelm Dieter Möbius

The clustering technique has attracted a lot of attention as a promising strategy for parallel debugging in multi-fault scenarios, this heuristic approach (i.e., failure indexing or fault isolation) enables developers to perform multiple…

Software Engineering · Computer Science 2022-07-20 Yi Song , Xiaoyuan Xie , Quanming Liu , Xihao Zhang , Xi Wu

Evaluating clustering quality with reliable evaluation metrics like normalized mutual information (NMI) requires labeled data that can be expensive to annotate. We focus on the underexplored problem of estimating clustering quality with…

Machine Learning · Computer Science 2022-10-04 Nihal V. Nayak , Ethan R. Elenberg , Clemens Rosenbaum

We propose a permutation-based method for testing a large collection of hypotheses simultaneously. Our method provides lower bounds for the number of true discoveries in any selected subset of hypotheses. These bounds are simultaneously…

Applications · Statistics 2023-01-30 Angela Andreella , Jesse Hemerik , Wouter Weeda , Livio Finos , Jelle Goeman

Functional connectivity (FC) derived from functional magnetic resonance imaging (fMRI) data offers vital insights for understanding brain function and neurological and psychiatric disorders. Unsupervised clustering methods are desired to…

Methodology · Statistics 2025-12-04 Yixi Xu , Yi Zhao

Functional magnetic resonance (fMRI) is an invaluable tool in studying cognitive processes in vivo. Many recent studies use functional connectivity (FC), partial correlation connectivity (PC), or fMRI-derived brain networks to predict…

Neurons and Cognition · Quantitative Biology 2023-08-04 Anton Orlichenko , Gang Qu , Kuan-Jui Su , Anqi Liu , Hui Shen , Hong-Wen Deng , Yu-Ping Wang

One of the main challenges in data mining is choosing the optimal number of clusters without prior information. Notably, existing methods are usually in the philosophy of cluster validation and hence have underlying assumptions on data…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Ruilin Zhang , Haiyang Zheng , Hongpeng Wang

Testing for differences in features between clusters in various applications often leads to inflated false positives when practitioners use the same dataset to identify clusters and then test features, an issue commonly known as ``double…

Methodology · Statistics 2024-10-10 Lijun Wang , Yingxin Lin , Hongyu Zhao

In many statistical linear inverse problems, one needs to recover classes of similar curves from their noisy images under an operator that does not have a bounded inverse. Problems of this kind appear in many areas of application.…

Statistics Theory · Mathematics 2020-03-24 Rasika Rajapakshage , Marianna Pensky

Clustering analysis of functional data, which comprises observations that evolve continuously over time or space, has gained increasing attention across various scientific disciplines. Practical applications often involve functional data…

Methodology · Statistics 2024-06-19 Tingyu Zhu , Lan Xue , Carmen Tekwe , Keith Diaz , Mark Benden , Roger Zoh

Conventional cluster-robust inference can be invalid when data contain clusters of unignorably large size. We formalize this issue by deriving a necessary and sufficient condition for its validity, and show that this condition is frequently…

Econometrics · Economics 2025-10-07 Harold D. Chiang , Yuya Sasaki , Yulong Wang

Missing observations are common in cluster randomised trials. Approaches taken to handling such missing data include: complete case analysis, single-level multiple imputation that ignores the clustering, multiple imputation with a fixed…

Methodology · Statistics 2014-07-18 Karla Diaz-Ordaz , Michael G. Kenward , Manuel Gomes , Richard Grieve
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