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To assess whether there is some signal in a big database, aggregate tests for the global null hypothesis of no effect are routinely applied in practice before more specialized analysis is carried out. Although a plethora of aggregate tests…

Statistics Theory · Mathematics 2024-05-08 Anders Bredahl Kock , David Preinerstorfer

A/B testing has become the cornerstone of decision-making in online markets, guiding how platforms launch new features, optimize pricing strategies, and improve user experience. In practice, we typically employ the pairwise $t$-test to…

Machine Learning · Statistics 2025-10-29 Junpeng Gong , Chunkai Wang , Hao Li , Jinyong Ma , Haoxuan Li , Xu He

Evaluating performance across optimization algorithms on many problems presents a complex challenge due to the diversity of numerical scales involved. Traditional data processing methods, such as hypothesis testing and Bayesian inference,…

Optimization and Control · Mathematics 2024-09-10 Yunpeng Jinng , Qunfeng Liu

E-learning in higher education is exponentially increased during the past decade due to its inevitable benefits in critical situations like natural disasters, and pandemic. The reliable, fair, and seamless execution of online exams in…

Computers and Society · Computer Science 2021-02-16 Abdul Wahab Muzaffar , Muhammad Tahir , Muhammad Waseem Anwar , Qaiser Chaudry , Shamaila Rasheed Mir , Yawar Rasheed

Simulation has emerged as a popular method to study the long-term societal consequences of recommender systems. This approach allows researchers to specify their theoretical model explicitly and observe the evolution of system-level…

Computers and Society · Computer Science 2021-07-29 Eli Lucherini , Matthew Sun , Amy Winecoff , Arvind Narayanan

While there exists a large amount of literature on the general challenges of and best practices for trustworthy online A/B testing, there are limited studies on sample size estimation, which plays a crucial role in trustworthy and efficient…

Methodology · Statistics 2023-08-21 Jing Zhou , Jiannan Lu , Anas Shallah

This paper aims to present an online placement test. It is based on the Item Response Theory to provide relevant estimates of learner competences. The proposed test is the entry point of our e-Learning system. It gathers the learner…

Computers and Society · Computer Science 2014-11-20 Farid Merrouch , Meriem Hnida , Mohammed Khalidi Idrissi , Samir Bennani

The widespread adoption of online randomized controlled experiments (A/B Tests) for decision-making has created ongoing capacity constraints which necessitate interim analyses. As a consequence, platform users are increasingly motivated to…

Applications · Statistics 2025-11-11 Abbas Zaidi , Rina Friedberg , Samir Khan , Yao-Yang Leow , Maulik Soneji , Houssam Nassif , Richard Mudd

High-dimensional logistic regression is widely used in analyzing data with binary outcomes. In this paper, global testing and large-scale multiple testing for the regression coefficients are considered in both single- and two-regression…

Methodology · Statistics 2020-11-23 Rong Ma , T. Tony Cai , Hongzhe Li

The label ranking problem is a supervised learning scenario in which the learner predicts a total order of the class labels for a given input instance. Recently, research has increasingly focused on the partial label ranking problem, a…

Machine Learning · Computer Science 2025-10-24 Jiayi Wang , Juan C. Alfaro , Viktor Bengs

The two-sample problem, which consists in testing whether independent samples on $\mathbb{R}^d$ are drawn from the same (unknown) distribution, finds applications in many areas. Its study in high-dimension is the subject of much attention,…

Statistics Theory · Mathematics 2023-02-09 Stephan Clémençon , Myrto Limnios , Nicolas Vayatis

Network (graph) data analysis is a popular research topic in statistics and machine learning. In application, one is frequently confronted with graph two-sample hypothesis testing where the goal is to test the difference between two graph…

Methodology · Statistics 2021-02-01 Mingao Yuan , Qian Wen

Ranking problem has attracted much attention in real systems. How to design a robust ranking method is especially significant for online rating systems under the threat of spamming attacks. By building reputation systems for users, many…

Information Retrieval · Computer Science 2015-05-20 Jian Gao , Yu-Wei Dong , Mingsheng Shang , Shi-Min Cai , Tao Zhou

In this paper, we propose a power comparison between high dimensional t-test, sign and signed rank test for the one sample mean test. We show that the high dimensional signed rank test is superior to a high dimensional t test, but inferior…

Methodology · Statistics 2018-12-31 Long Feng

Over the past eight years, the META method has served as a multidimensional testing skill assessment system in the National College Student Contest on Software Testing, successfully assessing over 100,000 students' testing skills. However,…

Software Engineering · Computer Science 2025-08-19 Yue Wang , Zhenyu Chen , Yuan Zhao , Chunrong Fang , Ziyuan Wang , Song Huang

Although unbiasedness is a basic property of a good test, many tests on vector parameters or scalar parameters against two-sided alternatives are not finite-sample unbiased. This was already noticed by Sugiura [Ann. Inst. Statist. Math. 17…

Statistics Theory · Mathematics 2012-03-05 Jana Jurečková , Jan Kalina

Testing a global null is a canonical problem in statistics and has a wide range of applications. In view of the fact that no uniformly most powerful test exists, prior and/or domain knowledge are commonly used to focus on a certain class of…

Methodology · Statistics 2024-01-09 Yaowu Liu , Zhonghua Liu , Xihong Lin

Item Response Theory becomes an increasingly important tool when analyzing ``Big Data'' gathered from online educational venues. However, the mechanism was originally developed in traditional exam settings, and several of its assumptions…

Physics Education · Physics 2014-05-29 Gerd Kortemeyer

Sum of Ranking Differences (SRD) is a relatively novel, non-para-metric statistical procedure that has become increasingly popular recently. SRD compares solutions via a reference by applying a rank transformation on the input and…

Statistics Theory · Mathematics 2025-02-06 Balázs R. Sziklai , Attila Gere , Károly Héberger , Jochen Staudacher

Imagine you are a teacher attempting to assess a student's level in a particular subject. If you design a test with only hard questions, and the student fails, this mostly proves that the student does not understand the more advanced…

Information Retrieval · Computer Science 2021-10-11 Andrea Barraza-Urbina