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There is growing interest in Bayesian clinical trial designs with informative prior distributions, e.g. for extrapolation of adult data to pediatrics, or use of external controls. While the classical type I error is commonly used to…

Methodology · Statistics 2023-09-06 Nicky Best , Maxine Ajimi , Beat Neuenschwander , Gaelle Saint-Hilary , Simon Wandel

Online marketplace designers frequently run A/B tests to measure the impact of proposed product changes. However, given that marketplaces are inherently connected, total average treatment effect estimates obtained through Bernoulli…

Methodology · Statistics 2020-04-28 David Holtz , Ruben Lobel , Inessa Liskovich , Sinan Aral

In data centers, tasks are dispatched to various servers to evenly distribute the workload. When a data center considers implementing a new scheduling algorithm, it typically conducts an A/B test prior to deployment to assess the real-world…

Methodology · Statistics 2026-05-29 Nanshan Jia , Ramesh Johari , Nian Si , Zeyu Zheng

Many organizations utilize large-scale online controlled experiments (OCEs) to accelerate innovation. Having high statistical power to detect small differences between control and treatment accurately is critical, as even small changes in…

Applications · Statistics 2020-09-11 Ali Mahmoudzadeh , Sophia Liu , Sol Sadeghi , Paul Luo Li , Somit Gupta

The robust detection of statistical dependencies between the components of a complex system is a key step in gaining a network-based understanding of the system. Because of their simplicity and low computation cost, pairwise statistics are…

Statistics Theory · Mathematics 2019-08-01 Antoine Messager , Nicos Georgiou , Luc Berthouze

Testing the equivalence of multiple quantiles between two populations is important in many scientific applications, such as clinical trials, where conventional mean-based methods may be inadequate. This is particularly relevant in bridging…

Methodology · Statistics 2025-10-21 Jun Wu , Stéphane Guerrier , Si Gou , Yogeshvar N. Kalia , Luca Insolia

With the exponential growth of online marketplaces and user-generated content therein, aspect-based sentiment analysis has become more important than ever. In this work, we critically review a representative sample of the models published…

Computation and Language · Computer Science 2021-05-12 Rajdeep Mukherjee , Shreyas Shetty , Subrata Chattopadhyay , Subhadeep Maji , Samik Datta , Pawan Goyal

We consider one of the most basic multiple testing problems that compares expectations of multivariate data among several groups. As a test statistic, a conventional (approximate) $t$-statistic is considered, and we determine its rejection…

Methodology · Statistics 2016-12-20 Yoshiyuki Ninomiya , Satoshi Kuriki , Toshihiko Shiroishi , Toyoyuki Takada

The $T$-test is probably the most popular statistical test; it is routinely recommended by the textbooks. The applicability of the test relies upon the validity of normal or Student's approximation to the distribution of Student's statistic…

Statistics Theory · Mathematics 2021-01-01 S. Y. Novak

The lack of non-parametric statistical tests for confounding bias significantly hampers the development of robust, valid and generalizable predictive models in many fields of research. Here I propose the partial and full confounder tests,…

Machine Learning · Computer Science 2025-05-30 Tamas Spisak

Inverse normal transformations applied to the partially overlapping samples t-tests by Derrick et.al. (2017) are considered for their Type I error robustness and power. The inverse normal transformation solutions proposed in this paper are…

Computation · Statistics 2017-08-02 Ben Derrick , Paul White , Deirdre Toher

A standard practice in statistical hypothesis testing is to mention the p-value alongside the accept/reject decision. We show the advantages of mentioning an e-value instead. With p-values, it is not clear how to use an extreme observation…

Methodology · Statistics 2024-04-04 Peter Grünwald

Online experiments are widely used for improving online services. While doing online experiments, The student t-test is the most widely used hypothesis testing technique. In practice, however, the normality assumption on which the t-test…

Methodology · Statistics 2023-12-25 Zheng Cai , Bo Hu , Zhihua Zhu

In clinical studies upon which decisions are based there are two types of errors that can be made: a type I error arises when the decision is taken to declare a positive outcome when the truth is in fact negative, and a type II error arises…

Methodology · Statistics 2024-09-19 Andrew P Grieve

Many online experiments exhibit dependence between users and items. For example, in online advertising, observations that have a user or an ad in common are likely to be associated. Because of this, even in experiments involving millions of…

Methodology · Statistics 2017-10-26 Eytan Bakshy , Dean Eckles

Nonparametric two-sample testing is a classical problem in inferential statistics. While modern two-sample tests, such as the edge count test and its variants, can handle multivariate and non-Euclidean data, contemporary gargantuan datasets…

Methodology · Statistics 2023-04-28 Trambak Banerjee , Bhaswar B. Bhattacharya , Gourab Mukherjee

The usual problem for group testing is this: For a given number of individuals and a given prevalence, how many tests T* are required to find every infected individual? In real life, however, the problem is usually different: For a given…

Applications · Statistics 2021-07-21 Matthew Aldridge

We study A/B experiments that are designed to compare the performance of two recommendation algorithms. Prior work has observed that the stable unit treatment value assumption (SUTVA) often does not hold in large-scale recommendation…

Machine Learning · Statistics 2026-02-24 Shuangning Li , Chonghuan Wang , Jingyan Wang

Multivariate (average) equivalence testing is widely used to assess whether the means of two conditions of interest are `equivalent' for different outcomes simultaneously. The multivariate Two One-Sided Tests (TOST) procedure is typically…

Many statistical methodologies for high-dimensional data assume the population is normal. Although a few multivariate normality tests have been proposed, to the best of our knowledge, none of them can properly control the type I error when…

Methodology · Statistics 2021-05-04 Hao Chen , Yin Xia