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Null hypothesis significance testing (NHST) text was once widely popular and almost systematically used for the identification of causal relations and for risk assessment in toxicology and medicine.
Silvio Roberto Vinceti +1 more
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Statistical Hypothesis Testing Based on Machine Learning: Large Deviations Analysis
We study the performance of Machine Learning (ML) classification techniques. Leveraging the theory of large deviations, we provide the mathematical conditions for a ML classifier to exhibit error probabilities that vanish exponentially, say $\exp (-n\,I)$
Paolo Braca +5 more
doaj +1 more source
Statistical inference: Hypothesis testing
The aim of statistical inference is to predict the parameters of a population, based on a sample of data. Inferential statistics encompasses the estimation of parameters and model predictions. The present article describes the hypothesis tests or statistical significance tests most commonly used in healthcare research.
M, Expósito-Ruiz +2 more
openaire +2 more sources
Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics [PDF]
We extend the mathematical theory of quantum hypothesis testing to the general $W^*$-algebraic setting and explore its relation with recent developments in non-equilibrium quantum statistical mechanics.
Araki H. +20 more
core +6 more sources
Statistical analysis of control quality of MPC using testing hypothesis [PDF]
Methods of the statistical induction have a significant role in the quantitative research. In a wide spectrum of research areas, the methods based on testing hypotheses have been frequently used.
Kubalcik Marek +2 more
doaj +1 more source
Universal Codes as a Basis for Time Series Testing [PDF]
We suggest a new approach to hypothesis testing for ergodic and stationary processes. In contrast to standard methods, the suggested approach gives a possibility to make tests, based on any lossless data compression method even if the distribution law of
Astola, Jaakko, Ryabko, Boris
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Hypothesis testing and statistical analysis of microbiome
After the initiation of Human Microbiome Project in 2008, various biostatistic and bioinformatic tools for data analysis and computational methods have been developed and applied to microbiome studies.
Yinglin Xia, Jun Sun
doaj +1 more source
Optimal Testing for Planted Satisfiability Problems [PDF]
We study the problem of detecting planted solutions in a random satisfiability formula. Adopting the formalism of hypothesis testing in statistical analysis, we describe the minimax optimal rates of detection.
Berthet, Quentin
core +4 more sources
A logical analysis of null hypothesis significance testing using popular terminology
Background Null Hypothesis Significance Testing (NHST) has been well criticised over the years yet remains a pillar of statistical inference. Although NHST is well described in terms of statistical models, most textbooks for non-statisticians present the
Richard McNulty
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