Mathematics Statistics and Probability

Advanced Statistical Methods and Models

Description

This cluster of papers focuses on the detection, impact, and handling of multicollinearity in regression analysis. It discusses methods for identifying outliers, robust estimation techniques, variance inflation factors, and the use of depth functions in analyzing data. The cluster also explores the relative importance of predictors, principal component analysis, and the application of these concepts to functional data.

Keywords

Multicollinearity; Regression Analysis; Outlier Detection; Robust Estimation; Variance Inflation Factor; Principal Component Analysis; Relative Importance; Depth Functions; Robust Statistics; Functional Data

Most Cited Works

Action Title Date Authors
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Modern Applied Statistics with S 2002-01-01 W. N. Venables B. D. Ripley
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Statistical Comparisons of Classifiers over Multiple Data Sets 2006-12-01 Janez Demšar
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Power analysis and determination of sample size for covariance structure modeling. 1996-06-01 Robert C. MacCallum Michael W. Browne Hazuki M. Sugawara
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Measuring the Accuracy of Diagnostic Systems 1988-06-03 John A. Swets
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Alternative Ways of Assessing Model Fit 1992-11-01 Michael W. Browne Robert Cudeck
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Fit indices in covariance structure modeling: Sensitivity to underparameterized model misspecification. 1998-12-01 Li‐tze Hu Peter M. Bentler
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Comparative fit indexes in structural models. 1990-01-01 Peter M. Bentler
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Estimates of the Regression Coefficient Based on Kendall's Tau 1968-12-01 Pranab Kumar Sen
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Robust Locally Weighted Regression and Smoothing Scatterplots 1979-12-01 William S. Cleveland
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Convergent and discriminant validation by the multitrait-multimethod matrix. 1959-01-01 Donald T. Campbell Donald W. Fiske
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Use of Ranks in One-Criterion Variance Analysis 1952-12-01 William Kruskal W. Allen Wallis
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Applied Multiple Regression/Correlation Analysis for the Behavioral Sciences 2003-11-21 Freda Kemp
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An Introduction to Multivariate Statistical Analysis 1986-01-01 Robb J. Muirhead T. W. Anderson
Least angle regression 2004-04-01 Bradley Efron Trevor Hastie Iain M. Johnstone Robert Tibshirani
Statistical power analyses using G*Power 3.1: Tests for correlation and regression analyses 2009-11-01 Franz Faul Edgar Erdfelder Axel Buchner Albert-Georg Lang
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Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties 2001-12-01 Jianqing Fan Runze Li
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Beyond Baron and Kenny: Statistical Mediation Analysis in the New Millennium 2009-12-01 Andrew F. Hayes
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A rationale and test for the number of factors in factor analysis 1965-06-01 John L. Horn
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Principal component analysis 1987-08-01 Svante Wold Kim H. Esbensen Paul Geladi
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Likelihood Ratio Statistics for Autoregressive Time Series with a Unit Root 1981-07-01 David A. Dickey Wayne A. Fuller
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Inference and missing data 1976-01-01 Donald B. Rubin
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A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity 1980-05-01 Halbert White
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Cross-Validatory Choice and Assessment of Statistical Predictions 1974-01-01 M. Stone
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Applied Multivariate Statistical Analysis. 1988-09-01 Andrea Johnson Dean W. Wichern
Bootstrap Methods: Another Look at the Jackknife 1979-01-01 B. Efron
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Nearest neighbor pattern classification 1967-01-01 Thomas M. Cover Peter E. Hart
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Regression Shrinkage and Selection Via the Lasso 1996-01-01 Robert Tibshirani
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A Caution Regarding Rules of Thumb for Variance Inflation Factors 2007-03-12 Robert M. O’Brien
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Intraclass correlations: Uses in assessing rater reliability. 1979-01-01 Patrick E. Shrout Joseph L. Fleiss
Random effects structure for confirmatory hypothesis testing: Keep it maximal 2013-01-03 Dale J. Barr Roger Lévy Christoph Scheepers Harry Tily
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Principal Component Analysis 1988-08-01 Colin Goodall Ian T. Jolliffe
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Significance tests and goodness of fit in the analysis of covariance structures. 1980-11-01 Peter M. Bentler Douglas G. Bonett
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Longitudinal data analysis using generalized linear models 1986-01-01 Kung‐Yee Liang Scott L. Zeger
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Statistical Methods for Rates and Proportions 2003-09-05 Joseph L. Fleiss Bruce Levin Myunghee Cho Paik
Simultaneous Inference in General Parametric Models 2008-05-15 Torsten Hothorn Frank Bretz Peter H. Westfall
Coefficient alpha and the internal structure of tests 1951-09-01 Lee J. Cronbach
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A Concordance Correlation Coefficient to Evaluate Reproducibility 1989-03-01 Liang‐In Lin
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Comparing the Areas under Two or More Correlated Receiver Operating Characteristic Curves: A Nonparametric Approach 1988-09-01 Elizabeth R. DeLong David M. DeLong Daniel L. Clarke‐Pearson
Applied Logistic Regression 2013-03-22 David W. Hosmer Stanley Lemeshow Rodney X. Sturdivant
<b>lmerTest</b> Package: Tests in Linear Mixed Effects Models 2017-01-01 Alexandra Kuznetsova Per B. Brockhoff Rune Haubo Bojesen Christensen
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Multiple regression: testing and interpreting interactions 1992-02-01
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Practical Statistics for Medical Research. 1992-06-01 Sophie Walter Daniel Altman
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Multivariate Data Analysis 2008-11-21
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Multivariate Data Analysis. 1973-01-01 H. Herne William W. Cooley Paul R. Lohnes
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Principal Component Analysis 2005-04-15 Ian T. Jolliffe
Structural Equation Models with Unobservable Variables and Measurement Error: Algebra and Statistics 1981-08-01 Claes Fornell David F. Larcker
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Evaluating Structural Equation Models with Unobservable Variables and Measurement Error 1981-02-01 Claes Fornell David F. Larcker
Applied Logistic Regression. 1990-09-01 Lawrence L. Kupper David W. Hosmer Stanley Lemeshow
Applied Logistic Regression 2000-09-13 David W. Hosmer Stanley Lemeshow
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Multivariate data analysis : a global perspective 2010-01-01 Joseph F. Hair

Most Recent Works

Action Title Date Authors
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A latent class pattern mixture model for nonignorable nonresponses in multivariate categorical data 2025-05-01 Jung Wun Lee Margaret Lloyd J. D. Phillips
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Enhanced generalized class of estimators for estimation of population median using auxiliary information 2025-05-01 Diaa S. Metwally Hajar Saleh Aljohani Mahmoud El-Morshedy Hend S. Shahen
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Selection-bias-adjusted inference for the bivariate normal distribution under soft-threshold sampling 2025-05-02 Joseph B. Lang
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Generalized Class of Estimators for Median Estimation Using Auxiliary Information 2025-05-01 Sohaib Ahmad Saadia Masood Manahil SidAhmed Mustafa Ehab I. Mohamed Eman Ali Hussain
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A New Method for Generating Continuous Distributions with Applications 2025-05-01 Morad Ahmad Mohammad A. Amleh
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A New Bivariate Transmuted Family of Distributions: Properties and Application 2025-05-01 Amani Abdullah Al-salafi Saman Hanif Shahbaz Lutfiah Al-Turk
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Using self-organizing map and rating scale model in examining internal structure of scales 2025-05-01 Sinan Bekmezci Nuri Doğan
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Estimation of the Error Structure in Multivariate Response Linear Regression Models 2025-05-01 Ruobin Liu Guo Yu
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RPs of Multivariate Distributions 2025-05-02 Kai‐Tai Fang Huajun Ye Yongdao Zhou
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Properties of MSE-RPs of the Multivariate Distributions 2025-05-02 Kai‐Tai Fang Huajun Ye Yongdao Zhou
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Statistical Distributions and Preliminary Distributions 2025-05-02 Kai‐Tai Fang Huajun Ye Yongdao Zhou
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Robust Linear Regression Models 2025-05-02 W. Holmes Finch
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Consistent model selection for factor-augmented regressions 2025-05-01 Yundong Tu Siwei Wang
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Constructing a cloud-computing tool of single sampling plan based on process capability indices for product acceptance determination 2025-05-02 To‐Cheng Wang
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ASSESSING HOMOGENEITY: A COMPARATIVE STUDY FOR ROBUST STATISTICAL ANALYSIS 2025-05-02 Chrisantus Bongbeebina Mezbahur Rahman
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NHL aging curves using functional principal component analysis 2025-05-02 Elijah Cavan Jiguo Cao Tim B. Swartz
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Influence diagnostics for ridge regression using the Kullback–Leibler divergence 2025-05-03 Alonso Ogueda Felipe Osorio
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Statistical decisions when modelling effects of teaching quality 2025-05-03 Carmen Köhler Benjamin Herbert Anna‐Katharina Praetorius
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Robustness of unsupervised methods for image surface-anomaly detection 2025-05-03 Jakob Božič Matic Fučka Vitjan Zavrtanik Danijel Skočaj
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Pairwise statistical comparisons of multiple algorithms 2025-05-03 Bin-Bin Jia Jun-Ying Liu Min-Ling Zhang
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Improving the Chain Sampling Plans Based on Cpm Index 2025-05-04 Antônio Fernando Branco Costa
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The corrected likelihood approach for adjusting measurement error in Cox’s model 2025-05-05 A. Shaji George G. Asha
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<i>f</i> <sub>MACS</sub> : Generalizing <i>d</i> <sub>MACS</sub> Effect Size for Measurement Noninvariance with Multiple Groups and Multiple Grouping Variables 2025-05-05 Mark H. C. Lai Yichi Zhang Meltem Özcan Winnie Wing-Yee Tse A. R. Miles
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Much Ado About Survey Tables: A Comparison of Chi-Square Tests and Software to Analyze Categorical Survey Data 2025-05-05 Li‐Yen R. Hu Yulei He Katherine Irimata Vladislav Beresovsky
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Numerical dependency analysis (NDA): a new method for estimating the statistical dependence (not correlation) of two variables 2025-05-05 Abolfazl Zanghaei Hassan Doosti Ali Ameri
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A comparison of robust and weighted multiple imputation approaches for estimating concordance correlation coefficients in longitudinal normal data 2025-05-05 Miao‐Yu Tsai
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Inflated regression model with its applications 2025-05-05 Hadi Saboori Mahdi Doostparast Ehsan Zamanzade
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Analytical Solution for Parameter Estimation of Weibull Distributions with Interval-Censored Data 2025-05-07 Yang Yu Jianguo Gong Kunping Zhu
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Integrating prior information into Gini coefficient estimation: A credibility method 2025-05-06 Limin Wen Ruyi Cao Yi Zhang
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Non parametric combination methodology for comparing multiple samples under heteroscedasticity 2025-05-06 Elena Barzizza Riccardo Ceccato
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Ridging out many covariates 2025-05-06 Stanislav Anatolyev
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A review and comparison of methods of parameter estimation and inference for heteroskedastic linear regression models 2025-05-06 Thomas Farrar Rénette Blignaut Retha Luus S. J. Steel
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Multivariate Extension Application for Spearman’s Footrule Correlation Coefficient 2025-05-06 Liqi Xia Sami Ullah Li Guan
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k-hull depth: in between simplicial and halfspace depth 2025-05-06 Erik Mendroš Stanislav Nagy
Functional regression with intensively measured longitudinal outcomes: a new lens through data partitioning 2025-05-06 Cole Manschot Emily C. Hector
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Advantages of Certain Bayes Estimators as Preferred Alternatives to Frequentist Methods 2025-05-06 Mojtaba Ganjali Taban Baghfalaki
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Expressions for the First Two Moments of the Range of Normal Random Variables with Applications to the Range Control Chart 2025-05-07 Don G. Wardell
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Statistical Inference for Two Lomax Populations Under Balanced Joint Progressive Type-II Censoring Scheme 2025-05-07 Yue Wang Jianli Xiang Wenhao Gui
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Efficient Combined Estimator for Parameter Estimation of Linear Regression Model with Multicollinearity 2025-05-07 Omokova Mary Attah Samuel Olayemi Olanrewaju
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Multivariate normality test based on Shannon's entropy 2025-05-07 Zhenghui Feng Mingming Zhao Xuefei Qi
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Bayes Analysis of Weibull Regression Model with Variable Selection: A Study Using Shrinkage Prior 2025-05-07 Asmita Shukla Rakesh Ranjan Satyanshu K. Upadhyay
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An adaptive multivariate EWMA chart for monitoring Gumbel's bivariate exponential distributed data 2025-05-09 Xuelong Hu Fan Xia Wei Lin Teoh Jiujun Zhang
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A New Zerbet’s Statistic for Detecting Outliers in Exponential Distribution 2025-05-09 A. Zerbet
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Residual XGBoost regression—Based individual moving range control chart for Gross Domestic Product growth monitoring 2025-05-09 Rahida Rihhadatul Aisy Latifatuz Zulfa Yolanda Rahim Muhammad Ahsan
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Neyman-orthogonal moment for instrumental variable quantile regression model with high dimensional data 2025-05-01 Zequn Jin Jinjiang Sun
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Sure Independence Screening for Ultrahigh-Dimensional Additive Model with Multivariate Response 2025-05-09 Yongshuai Chen Baosheng Liang
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A Novel Numerical Integration Equation Approach using the Gauss-Legendre Quadrature to Approximate the Average Run Length of Time-Series Model Running on a CUSUM Control Chart 2025-05-09 Wilasinee Peerajit
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A new representation of some extropy-related measures based on probability density quantile 2025-05-09 Zohreh Pakdaman Reza Alizadeh Noughabi
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Characteristic function and moment generating function of multivariate folded normal distribution 2025-05-10 Matej Benko Zuzana Hübnerová Viktor Witkovský
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الخصائص القياسية لفقرات اختبار الاستدلال العددي وفقاً للأنموذج اللوجيستي ثنائي البارامتر 2025-05-10 م.د رشيد صالح مهدي الجبوري