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This paper develops Bayesian sample size formulae for experiments comparing two groups. We assume the experimental data will be analysed in the Bayesian framework, where pre-experimental information from multiple sources can be represented…

Methodology · Statistics 2022-03-09 Haiyan Zheng , Thomas Jaki , James M. S. Wason

When reporting the results of clinical studies, some researchers may choose the five-number summary (including the sample median, the first and third quartiles, and the minimum and maximum values) rather than the sample mean and standard…

Methodology · Statistics 2020-06-18 Jiandong Shi , Dehui Luo , Hong Weng , Xian-Tao Zeng , Lu Lin , Haitao Chu , Tiejun Tong

We propose BaySize, a sample size calculator for phase I clinical trials using Bayesian models. BaySize applies the concept of effect size in dose finding, assuming the MTD is defined based on an equivalence interval. Leveraging a decision…

Methodology · Statistics 2023-03-29 Xiaolei Lin , Jiaying Lyu , Shijie Yuan , Sue-Jane Wang , Yuan Ji

Metabolomic data sets provide a direct read-out of cellular phenotypes and are increasingly generated to study biological questions. Our previous work revealed the potential of analyzing extracellular metabolomic data in the context of the…

Molecular Networks · Quantitative Biology 2016-06-10 Maike K. Aurich , Ronan M. T. Fleming , Ines Thiele

Optimization-based models have been used to predict cellular behavior for over 25 years. The constraints in these models are derived from genome annotations, measured macro-molecular composition of cells, and by measuring the cell's growth…

Quantitative Methods · Quantitative Biology 2019-05-21 Laurence Yang , Michael A. Saunders , Jean-Christophe Lachance , Bernhard O. Palsson , José Bento

As the most important tool to provide high-level evidence-based medicine, researchers can statistically summarize and combine data from multiple studies by conducting meta-analysis. In meta-analysis, mean differences are frequently used…

Methodology · Statistics 2018-01-30 Dehui Luo , Xiang Wan , Jiming Liu , Tiejun Tong

Scientists often use meta-analysis to characterize the impact of an intervention on some outcome of interest across a body of literature. However, threats to the utility and validity of meta-analytic estimates arise when scientists average…

Human-Computer Interaction · Computer Science 2023-02-21 Alex Kale , Sarah Lee , Terrance Goan , Elizabeth Tipton , Jessica Hullman

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

Over the last few decades, prediction models have become a fundamental tool in statistics, chemometrics, and related fields. However, to ensure that such models have high value, the inferences that they generate must be reliable. In this…

Researchers increasingly use meta-analysis to synthesize the results of several studies in order to estimate a common effect. When the outcome variable is continuous, standard meta-analytic approaches assume that the primary studies report…

Metabolomics is becoming a mature part of analytical chemistry as evidenced by the growing number of publications and attendees of international conferences dedicated to this topic. Yet, a systematic treatment of the fundamental structure…

Quantitative Methods · Quantitative Biology 2019-06-19 Age K. Smilde , Thomas Hankemeier

Bayesian inference and the use of posterior or posterior predictive probabilities for decision making have become increasingly popular in clinical trials. The current practice in Bayesian clinical trials relies on a hybrid…

Methodology · Statistics 2024-04-30 Shirin Golchi , James Willard

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

Recent stochastic gradient methods that have appeared in the literature base their efficiency and global convergence properties on a suitable control of the variance of the gradient batch estimate. This control is typically achieved by…

Optimization and Control · Mathematics 2025-06-11 Marco Boresta , Alberto De Santis , Stefano Lucidi

Running machine learning algorithms on large and rapidly growing volumes of data is often computationally expensive, one common trick to reduce the size of a data set, and thus reduce the computational cost of machine learning algorithms,…

Machine Learning · Computer Science 2022-01-25 Shaojie Tang , Jing Yuan

Metagenomics has lowered the barrier to microbial discovery--enabling the identification of novel microbes without isolation--but cultures remain imperative for the deep study of microbes. Cultivation and isolation of non-model microbes…

Molecular Networks · Quantitative Biology 2026-02-26 Olivia Bulka , Chabname Ghassemi Nedjad , Loïc Paulevé , Sylvain Prigent , Clémence Frioux

Metagenomics offers a way to analyze biotopes at the genomic level and to reach functional and taxonomical conclusions. The bio-analyzes of large metagenomic projects face critical limitations: complex metagenomes cannot be assembled and…

Genomics · Quantitative Biology 2015-11-30 Maillet Nicolas , Collet Guillaume , Vanier Thomas , Lavenier Dominique , Pierre Peterlongo

Background: Determining an adequate sample size is essential for developing reliable and generalisable clinical prediction models, yet practical guidance on selecting appropriate methods remains limited. Existing analytical and…

This paper presents a Bayesian framework for assessing the adequacy of a model without the necessity of explicitly enumerating a specific alternate model. A test statistic is developed for tracking the performance of the model across…

Artificial Intelligence · Computer Science 2013-03-25 Kathryn Blackmond Laskey

Statistical hypothesis testing and effect size measurement are routine parts of quantitative research. Advancements in computer processing power have greatly improved the capability of statistical inference through the availability of…

Methodology · Statistics 2024-01-18 Michael J. Crosse , John J. Foxe , Sophie Molholm