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The reproducibility crisis has led to an increasing number of replication studies being conducted. Sample sizes for replication studies are often calculated using conditional power based on the effect estimate from the original study.…

Methodology · Statistics 2022-10-19 Charlotte Micheloud , Leonhard Held

1. Sample size estimation through power analysis is a fundamental tool in planning an ecological study, yet there are currently no well-established procedures for when multivariate abundances are to be collected. A power analysis procedure…

Methodology · Statistics 2022-06-22 Ben Maslen , Gordana Popovic , Adriana Vergés , Ezequiel Marzinelli , David Warton

Statistical power estimation for studies with multiple model parameters is inherently a multivariate problem. Power for individual parameters of interest cannot be reliably estimated univariately since correlation and variance explained…

Methodology · Statistics 2022-05-25 Ajinkya K Mulay , Sean Lane , Erin Hennes

Time series data is a collection of chronological observations which is generated by several domains such as medical and financial fields. Over the years, different tasks such as classification, forecasting, and clustering have been…

Machine Learning · Computer Science 2021-02-12 Raha Moraffah , Paras Sheth , Mansooreh Karami , Anchit Bhattacharya , Qianru Wang , Anique Tahir , Adrienne Raglin , Huan Liu

This article develops new closed-form variance expressions for power analyses for commonly used difference-in-differences (DID) and comparative interrupted time series (CITS) panel data estimators. The main contribution is to incorporate…

Methodology · Statistics 2021-10-18 Peter Z. Schochet

Power analyses are an important aspect of experimental design, because they help determine how experiments are implemented in practice. It is common to specify a desired level of power and compute the sample size necessary to obtain that…

Methodology · Statistics 2022-12-09 Zach Branson , Xinran Li , Peng Ding

Conditional power calculations are frequently used to guide the decision whether or not to stop a trial for futility or to modify planned sample size. These ignore the information in short-term endpoints and baseline covariates, and thereby…

Methodology · Statistics 2019-04-11 Kelly Van Lancker , An Vandebosch , Stijn Vansteelandt

The power that machine learning models consume when making predictions can be affected by a model's architecture. This paper presents various estimates of power consumption for a range of different activation functions, a core factor in…

Machine Learning · Computer Science 2020-06-15 Leon Derczynski

Power curves capture the relationship between wind speed and output power for a specific wind turbine. Accurate regression models of this function prove useful in monitoring, maintenance, design, and planning. In practice, however, the…

Machine Learning · Statistics 2021-12-01 L. A. Bull , P. A. Gardner , T. J. Rogers , N. Dervilis , E. J. Cross , E. Papatheou , A. E. Maguire , C. Campos , K. Worden

Given a small training data set and a learning algorithm, how much more data is necessary to reach a target validation or test performance? This question is of critical importance in applications such as autonomous driving or medical…

Computer Vision and Pattern Recognition · Computer Science 2022-07-14 Rafid Mahmood , James Lucas , David Acuna , Daiqing Li , Jonah Philion , Jose M. Alvarez , Zhiding Yu , Sanja Fidler , Marc T. Law

Trials enroll a large number of subjects in order to attain power, making them expensive and time-consuming. Sample size calculations are often performed with the assumption of an unadjusted analysis, even if the trial analysis plan…

Methodology · Statistics 2021-07-06 Alejandro Schuler

Power-spectrum analysis is an important tool providing critical information about a signal. The range of applications includes communication-systems to DNA-sequencing. If there is interference present on a transmitted signal, it could be…

Instrumentation and Methods for Astrophysics · Physics 2015-03-18 Yogindra Abhyankar , Sajish C. , Yogesh Agarwal , C. R. Subrahmanya , Peeyush Prasad

In this paper the computational aspects of probability calculations for dynamical partial sum expressions are discussed. Such dynamical partial sum expressions have many important applications, and examples are provided in the fields of…

Computation · Statistics 2017-12-14 Sorawit Saengkyongam , Anthony Hayter , Seksan Kiatsupaibul , Wei Liu

A typical power calculation is performed by replacing unknown population-level quantities in the power function with what is observed in external studies. Many authors and practitioners view this as an assumed value of power and offer the…

Applications · Statistics 2026-05-12 Geoffrey S Johnson

We consider the problem of power demand forecasting in residential micro-grids. Several approaches using ARMA models, support vector machines, and recurrent neural networks that perform one-step ahead predictions have been proposed in the…

Neural and Evolutionary Computing · Computer Science 2017-06-30 Riccardo Bonetto , Michele Rossi

A statistical approach based on the interval analysis (IA) is proposed for the analysis of the effects, on the radiation patterns radiated by phased arrays, of random errors and tolerances in the amplitudes and phases of the array-elements…

Signal Processing · Electrical Eng. & Systems 2021-02-10 P. Rocca , N. Anselmi , A. Benoni , A. Massa

Accurate forecasting of electric load and renewable generation is essential for reliable and cost effective power system operations. Recent advances in transformer based and foundation machine learning models, driven by large scale…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Muhy Eddin Za'ter , Bri-Mathias Hodge

Using geometric considerations, we provide a clear derivation of the integral representation for the error function, known as the Craig formula. We calculate the corresponding power series expansion and prove the convergence. The same…

Data Analysis, Statistics and Probability · Physics 2023-06-16 Dmitri Martila , Stefan Groote

In practice, several time series exhibit long-range dependence or persistence in their observations, leading to the development of a number of estimation and prediction methodologies to account for the slowly decaying autocorrelations. The…

Computation · Statistics 2016-09-09 Javier E. Contreras-Reyes , Wilfredo Palma

Sample size calculation is crucial in biomedical in vivo research investigations mainly for two reasons: to design the most resource-efficient studies and to safeguard ethical issues when alive animals are subjects of testing. In this…

Applications · Statistics 2025-05-27 Hasan Al-Nashash , Jiajin Wei , Ke Yang , Ayman Alzaatreh , Mohsen Adeli , Tiejun Tong , Angelo All
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