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It is quite common in modern research, for a researcher to test many hypotheses. The statistical (frequentist) hypothesis testing framework, does not scale with the number of hypotheses in the sense that naively performing many hypothesis…

Methodology · Statistics 2013-06-26 Jonathan Rosenblatt

High-dimensional tests are applied to find relevant sets of variables and relevant models. If variables are selected by analyzing the sums of products matrices and a corresponding mean-value test is performed, there is the danger that the…

Methodology · Statistics 2012-02-10 Juergen Laeuter , Maciej Rosolowski , Ekkehard Glimm

Background: Measurement errors in terms of quantification or classification frequently occur in epidemiologic data and can strongly impact inference. Measurement errors may occur when ascertaining, recording or extracting data. Although the…

Methodology · Statistics 2021-10-22 Walter K Kremers

In systematic reviews and meta-analysis, researchers often pool the results of the sample mean and standard deviation from a set of similar clinical trials. A number of the trials, however, reported the study using the median, the minimum…

Methodology · Statistics 2016-10-06 Xiang Wan , Wenqian Wang , Jiming Liu , Tiejun Tong

Testing the independence between random vectors is a fundamental problem in statistics. Distance correlation, a recently popular dependence measure, is universally consistent for testing independence against all distributions with finite…

Methodology · Statistics 2024-08-22 Yuwei Ke , Hok Kan Ling , Yanglei Song

This paper proposes a framework for evaluating the statistical precision of measurement methods from interlaboratory studies where the outcome is a dose-response relationship summarized by a regression line. For such measurement methods,…

Applications · Statistics 2026-05-13 Jun-ichi Takeshita , Yuto Ikeuchi , Tomomichi Suzuki

We address the problem of A/B testing, a widely used protocol for evaluating the potential improvement achieved by a new decision system compared to a baseline. This protocol segments the population into two subgroups, each exposed to a…

Machine Learning · Statistics 2025-06-16 Otmane Sakhi , Alexandre Gilotte , David Rohde

Considerable interest has recently been focused on studying multiple phenotypes simultaneously in both epidemiological and genomic studies, either to capture the multidimensionality of complex disorders or to understand shared etiology of…

Methodology · Statistics 2015-11-26 Denis Agniel , Katherine P. Liao , Tianxi Cai

Experimental datasets are growing rapidly in size, scope, and detail, but the value of these datasets is limited by unwanted measurement noise. It is therefore tempting to apply analysis techniques that attempt to reduce noise and enhance…

Applications · Statistics 2022-07-12 Kendrick Kay

Interpreting experimental data in high school experiments can be a difficult task for students, especially when there is large variation in the data. At the same time, calculating the standard deviation poses a challenge for students. In…

Physics Education · Physics 2022-10-18 Karel Kok , Burkhard Priemer

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…

Modern cell-perturbation experiments expose cells to panels of hundreds of stimuli, such as cytokines or CRISPR guides that perform gene knockouts. These experiments are designed to investigate whether a particular gene is upregulated or…

Applications · Statistics 2023-07-24 Jackson Loper , Noam Solomon , Jeffrey Regier

Measurement error is a pervasive issue which renders the results of an analysis unreliable. The measurement error literature contains numerous correction techniques, which can be broadly divided into those which aim to produce exactly…

Methodology · Statistics 2021-11-08 Dylan Spicker , Michael P Wallace , Grace Y Yi

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…

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

We investigate saddlepoint approximations applied to the score test statistic in genome-wide association studies with binary phenotypes. The inaccuracy in the normal approximation of the score test statistic increases with increasing sample…

Stochastic simulation can make the molecular processes of cellular control more vivid than the traditional differential-equation approach by generating typical system histories instead of just statistical measures such as the mean and…

Subcellular Processes · Quantitative Biology 2018-09-18 Kevin Y. Chen , Daniel M. Zuckerman , Philip C. Nelson

There is a well-known problem in Null Hypothesis Significance Testing: many statistically significant results fail to replicate in subsequent experiments. We show that this problem arises because standard `point-form null' significance…

Methodology · Statistics 2025-02-06 Fintan Costello , Paul Watts

This paper describes a new method for reducing the error in a classifier. It uses an error correction update that includes the very simple rule of either adding or subtracting the error adjustment, based on whether the variable value is…

Artificial Intelligence · Computer Science 2018-03-02 Kieran Greer

Statistical dependence between hypotheses poses a significant challenge to the stability of large scale multiple hypotheses testing. Ignoring it often results in an unacceptably large spread in the false positive proportion even though the…

Methodology · Statistics 2018-10-15 Sairam Rayaprolu , Zhiyi Chi
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