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Prior proposals for cumulative statistics suggest making tiny random perturbations to the scores (independent variables in a regression) in order to ensure the scores' uniqueness. Uniqueness means that no score for any member of the…

统计方法学 · 统计学 2022-08-23 Mark Tygert

Pearson's correlation is an important summary measure of the amount of dependence between two variables. It is natural to want to generalise the concept of correlation as a single number that measures the inter-relatedness of three or more…

统计方法学 · 统计学 2020-03-06 Benjamin M. Taylor

Individual scores on common factors are required in some applied settings (e.g., business and marketing settings). Common factors are based on reflective indicators, but their scores cannot unambiguously be determined. Therefore, factor…

应用统计 · 统计学 2017-01-24 André Beauducel , Anja Leue , Norbert Hilger

Composites are often created to facilitate the work of decision-makers. Therefore, practical or theoretical considerations may lead to a priori weights of the indicators forming a composite. Composites that are created a weighted aggregates…

应用统计 · 统计学 2026-05-28 Andre Beauducel , Ned Kock

Composite development indicators used in policy making often subjectively aggregate a restricted set of indicators. We show, using dimensionality reduction techniques, including Principal Component Analysis (PCA) and for the first time…

综合经济学 · 经济学 2020-03-27 Anshul Verma , Orazio Angelini , Tiziana Di Matteo

Comparing the differences in outcomes (that is, in "dependent variables") between two subpopulations is often most informative when comparing outcomes only for individuals from the subpopulations who are similar according to "independent…

统计方法学 · 统计学 2021-12-20 Mark Tygert

We propose a new method to impute missing values in mixed datasets. It is based on a principal components method, the factorial analysis for mixed data, which balances the influence of all the variables that are continuous and categorical…

应用统计 · 统计学 2013-02-20 Vincent Audigier , François Husson , Julie Josse

Results in epidemiology and social science often require the removal of confounding effects from measurements of the pairwise correlation of variables in survey data. This is typically accomplished by some variant of linear regression…

统计方法学 · 统计学 2025-12-02 William H. Press

Variable importance plays a pivotal role in interpretable machine learning as it helps measure the impact of factors on the output of the prediction model. Model agnostic methods based on the generation of "null" features via permutation…

In this paper we propose a new aggregation method for constructing composite indicators that is based on a penalization of the power means. The idea underlying this approach consists in multiplying the power mean by a factor that takes into…

统计方法学 · 统计学 2022-06-23 Francesca Mariani , Mariateresa Ciommi , Maria Cristina Recchioni

Nowadays impact factor is the significant indicator for journal evaluation. In impact factor calculation is used number of all citations to journal, regardless of the prestige of cited journals, however, scientific units (paper, researcher,…

数字图书馆 · 计算机科学 2015-06-10 Rasim Alguliyev , Ramiz Aliguliyev , Nigar Ismayilova

Effect size indices are useful tools in study design and reporting because they are unitless measures of association strength that do not depend on sample size. Existing effect size indices are developed for particular parametric models or…

统计方法学 · 统计学 2025-01-08 Simon Vandekar , Ran Tao , Jeffrey Blume

A non-parametric method for ranking stock indices according to their mutual causal influences is presented. Under the assumption that indices reflect the underlying economy of a country, such a ranking indicates which countries exert the…

统计金融 · 定量金融 2018-01-23 Theo Diamandis , Yonathan Murin , Andrea Goldsmith

Data cohesion, a recently introduced measure inspired by social interactions, uses distance comparisons to assess relative proximity. In this work, we provide a collection of results which can guide the development of cohesion-based methods…

社会与信息网络 · 计算机科学 2023-08-08 Katherine E. Moore

The impact of scientific publications has traditionally been expressed in terms of citation counts. However, scientific activity has moved online over the past decade. To better capture scientific impact in the digital era, a variety of new…

数字图书馆 · 计算机科学 2009-06-30 Johan Bollen , Herbert Van de Sompel , Aric Hagberg , Ryan Chute

Several performance measures are used to evaluate binary and multiclass classification tasks. But individual observations may often have distinct weights, and none of these measures are sensitive to such varying weights. We propose a new…

机器学习 · 统计学 2025-12-25 Rommel Cortez , Bala Krishnamoorthy

Not a matter of serious contention, Pearson's correlation coefficient is still the most important statistical association measure. Restricted to just two variables, this measure sometimes doesn't live up to users' needs and expectations.…

数理金融 · 定量金融 2024-02-02 Reza Salimi , Kamran Pakizeh

Practitioners use feature importance to rank and eliminate weak predictors during model development in an effort to simplify models and improve generality. Unfortunately, they also routinely conflate such feature importance measures with…

机器学习 · 计算机科学 2020-06-09 Terence Parr , James D. Wilson , Jeff Hamrick

Composite endpoints are commonly used with an anticipation that clinically relevant endpoints as a whole would yield meaningful treatment benefits. The win ratio is a rank-based statistic to summarize composite endpoints, allowing…

统计方法学 · 统计学 2022-12-14 Di Zhang , Stephen R. Wisniewski , Jong-Hyeon Jeong

For better or for worse, rankings of institutions, such as universities, schools and hospitals, play an important role today in conveying information about relative performance. They inform policy decisions and budgets, and are often…

统计理论 · 数学 2010-11-11 Peter Hall , Hugh Miller
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