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The relevance of determinacy coefficients as indicators for the validity of factor score predictors has regularly been emphasized. Previous simulation studies revealed biased determinacy coefficients for factor score predictors based on…

应用统计 · 统计学 2023-05-12 André Beauducel , Norbert Hilger , Anneke Weide

Previous research has shown that ignoring individual differences of factor loadings in conventional factor models may reduce the determinacy of factor score predictors. Therefore, the aim of the present study is to propose a heterogeneous…

统计方法学 · 统计学 2025-03-11 André Beauducel , Norbert Hilger , Anneke C. Weide

The present study investigates to what degree the common variance of the factor score predictor with the original factor, i.e., the determinacy coefficient or the validity of the factor score predictor, depends on the mean-difference…

应用统计 · 统计学 2023-11-27 André Beauducel , Norbert Hilger

Factor score predictors are to be computed when the individual scores on the factors are of interest. Conditions for a perfect inter-correlation of the regression/best linear factor score predictor, the best linear conditionally unbiased…

应用统计 · 统计学 2015-11-03 André Beauducel

The model implied by factor score predictors does not reproduce the non-diagonal elements of the observed covariance matrix as well as the factor loadings. It is therefore investigated whether it is possible to estimate factor loadings for…

应用统计 · 统计学 2019-09-26 André Beauducel , Norbert Hilger

In the context of Bayesian factor analysis, it is possible to compute mean plausible values, which might be used as covariates or predictors or in order to provide individual scores for the Bayesian latent variables. Previous simulation…

应用统计 · 统计学 2021-09-21 André Beauducel , Norbert Hilger

Ranking methods or models based on their performance is of prime importance but is tricky because performance is fundamentally multidimensional. In the case of classification, precision and recall are scores with probabilistic…

性能 · 计算机科学 2026-03-31 Sébastien Piérard , Adrien Deliège , Marc Van Droogenbroeck

Computers are increasingly used to make decisions that have significant impact in people's lives. Often, these predictions can affect different population subgroups disproportionately. As a result, the issue of fairness has received much…

Estimates for the reliability of Thurstone's regression factor score predictor, Bartlett's factor score predictor, and McDonald's factor score predictor were proposed. As in Kuder-Richardson's formula, the reliability estimates are based on…

应用统计 · 统计学 2016-11-28 Andre Beauducel , Christopher Harms , Norbert Hilger

Strategic learning studies how decision rules interact with agents who may strategically change their inputs/features to achieve better outcomes. In standard settings, models assume that the decision-maker's sole scope is to learn a…

计算机科学与博弈论 · 计算机科学 2025-10-23 Valia Efthymiou , Ekaterina Fedorova , Chara Podimata

Friction systems are mechanical systems wherein friction is used for force transmission (e.g. mechanical braking systems or automatic gearboxes). For finding optimal and safe design parameters, engineers have to predict friction system…

机器学习 · 计算机科学 2021-07-21 Gabriel Kronberger , Michael Kommenda , Andreas Promberger , Falk Nickel

In this paper, we consider the problem of learning models with a latent factor structure. The focus is to find what is possible and what is impossible if the usual strong factor condition is not imposed. We study the minimax rate and…

统计理论 · 数学 2019-11-07 Yinchu Zhu

The paper considers linear regression problems where the number of predictor variables is possibly larger than the sample size. The basic motivation of the study is to combine the points of view of model selection and functional regression…

统计理论 · 数学 2012-02-24 Alois Kneip , Pascal Sarda

Selective regression allows abstention from prediction if the confidence to make an accurate prediction is not sufficient. In general, by allowing a reject option, one expects the performance of a regression model to increase at the cost of…

Knowing when a classifier's prediction can be trusted is useful in many applications and critical for safely using AI. While the bulk of the effort in machine learning research has been towards improving classifier performance,…

机器学习 · 统计学 2018-10-30 Heinrich Jiang , Been Kim , Melody Y. Guan , Maya Gupta

In a very high-dimensional vector space, two randomly-chosen vectors are almost orthogonal with high probability. Starting from this observation, we develop a statistical factor model, the random factor model, in which factors are chosen at…

统计金融 · 定量金融 2018-12-27 Antti J. Tanskanen , Jani Lukkarinen , Kari Vatanen

The additive genetic effect is arguably the most important quantity inferred in animal and plant breeding analyses. The term effect indicates that it represents causal information, which is different from standard statistical concepts as…

Ever since the seminal work of R. A. Fisher and F. Yates, factorial designs have been an important experimental tool to simultaneously estimate the effects of multiple treatment factors. In factorial designs, the number of treatment…

统计方法学 · 统计学 2024-03-21 Lei Shi , Jingshen Wang , Peng Ding

We consider estimation and inference for a regression coefficient in panels with interactive fixed effects (i.e., with a factor structure). We demonstrate that existing estimators and confidence intervals (CIs) can be heavily biased and…

计量经济学 · 经济学 2025-05-13 Timothy B. Armstrong , Martin Weidner , Andrei Zeleneev

In a regression setting we propose algorithms that reduce the dimensionality of the features while simultaneously maximizing a statistical measure of dependence known as distance correlation between the low-dimensional features and a…

机器学习 · 计算机科学 2017-02-20 Praneeth Vepakomma , Ahmed Elgammal
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