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We study ratio metrics in A/B testing at the presence of correlation among observations coming from the same user and provides practical guidance especially when two metrics contradict each other. We propose new estimating methods to…

Applications · Statistics 2020-07-24 Keyu Nie , Yinfei Kong , Ted Tao Yuan , Pauline Berry Burke

A/B test, a simple type of controlled experiment, refers to the statistical procedure of experimenting to compare two treatments applied to test subjects. For example, many IT companies frequently conduct A/B tests on their users who are…

Methodology · Statistics 2026-05-12 Qiong Zhang , Lulu Kang

AB testing aids business operators with their decision making, and is considered the gold standard method for learning from data to improve digital user experiences. However, there is usually a gap between the requirements of practitioners,…

Machine Learning · Computer Science 2023-07-28 Srivas Chennu , Andrew Maher , Christian Pangerl , Subash Prabanantham , Jae Hyeon Bae , Jamie Martin , Bud Goswami

The Birnbaum-Saunders distribution has been widely applied in several areas of science and although several methodologies related to this distribution have been proposed, the problem of determining the optimal sample size for estimating its…

Methodology · Statistics 2020-07-27 Eliardo G. Costa , Manoel Santos-Neto

When evaluating the performance of a model for individualised risk prediction, the sample size needs to be large enough to precisely estimate the performance measures of interest. Current sample size guidance is based on precisely…

Online experiments in internet systems, also known as A/B tests, are used for a wide range of system tuning problems, such as optimizing recommender system ranking policies and learning adaptive streaming controllers. Decision-makers…

Machine Learning · Computer Science 2025-07-01 Qing Feng , Samuel Daulton , Benjamin Letham , Maximilian Balandat , Eytan Bakshy

In the past decade, the technology industry has adopted online randomized controlled experiments (a.k.a. A/B testing) to guide product development and make business decisions. In practice, A/B tests are often implemented with increasing…

Methodology · Statistics 2023-03-27 Kevin Han , Shuangning Li , Jialiang Mao , Han Wu

Experimentation is widely utilized for causal inference and data-driven decision-making across disciplines. In an A/B experiment, for example, an online business randomizes two different treatments (e.g., website designs) to their customers…

Methodology · Statistics 2025-01-15 Wenxuan Guo , JungHo Lee , Panos Toulis

Estimation frameworks for statistical inference are preferred to hypothesis testing when quantifying uncertainty and precise estimation are more valuable than binary decisions about statistical significance. Study design for…

Methodology · Statistics 2025-10-29 Luke Hagar , Nathaniel T. Stevens

In this paper we deal with the issue of performing accurate small-sample inference in the Birnbaum-Saunders regression model, which can be useful for modeling lifetime or reliability data. We derive a Bartlett-type correction for the score…

Methodology · Statistics 2011-11-22 Artur J. Lemonte , Silvia L. P. Ferrari

When performing supervised learning with the model selected using validation error from sample splitting and cross validation, the minimum value of the validation error can be biased downward. We propose two simple methods that use the…

Methodology · Statistics 2018-02-13 Leying Guan

Randomized experimentation (also known as A/B testing or bucket testing) is widely used in the internet industry to measure the metric impact obtained by different treatment variants. A/B tests identify the treatment variant showing the…

Annotated datasets are an essential ingredient to train, evaluate, compare and productionalize supervised machine learning models. It is therefore imperative that annotations are of high quality. For their creation, good quality management…

Machine Learning · Computer Science 2024-05-30 Jan-Christoph Klie , Juan Haladjian , Marc Kirchner , Rahul Nair

In this paper, we provide a statistical testing framework to check whether a random sample splitting in a multi-dimensional space is carried out in a valid way, which could be directly applied to A/B testing and multivariate testing to…

Methodology · Statistics 2018-10-11 Jing Miao , Hongyuan Yuan , Zhenyu Yan

A/B tests are the gold standard for evaluating digital experiences on the web. However, traditional "fixed-horizon" statistical methods are often incompatible with the needs of modern industry practitioners as they do not permit continuous…

In this paper, a Bayesian approach is developed for simultaneously comparing multiple experimental treatments with a common control treatment in an exploratory clinical trial. The sample size is set to ensure that, at the end of the study,…

Statistics Theory · Mathematics 2019-11-14 John Whitehead , Faye Cleary , Amanda Turner

Importance sampling approximates expectations with respect to a target measure by using samples from a proposal measure. The performance of the method over large classes of test functions depends heavily on the closeness between both…

Computation · Statistics 2016-09-01 Daniel Sanz-Alonso

Controlled experiments (A/B tests or randomized field experiments) are the de facto standard to make data-driven decisions when implementing changes and observing customer responses. The methodology to analyze such experiments should be…

Applications · Statistics 2020-03-06 Shafi Kamalbasha , Manuel J. A. Eugster

A/B testing, also known as controlled experiment, bucket testing or splitting testing, has been widely used for evaluating a new feature, service or product in the data-driven decision processes of online websites. The goal of A/B testing…

Applications · Statistics 2016-10-26 Bai Jiang , Xiaolin Shi , Hongwei Shang , Zhigeng Geng , Alyssa Glass

A/B testing is an important decision making tool in product development because can provide an accurate estimate of the average treatment effect of a new features, which allows developers to understand how the business impact of new changes…

Applications · Statistics 2019-03-22 Guillaume Saint-Jacques , James Eric Sorenson , Nanyu Chen , Ya Xu