Detection of Influential Observation in Linear Regression

1977/02/01 by R. Dennis Cook · 21 citations
Mathematics · Decision Sciences · #Advanced Statistical Methods and Models #Multi-Criteria Decision Making #Statistical and numerical algorithms

paper · doi:10.1080/00401706.1977.10489493

Abstract

A new measure based on confidence ellipsoids is developed for judging the contribution of each data point to the determination of the least squares estimate of the parameter vector in full rank linear regression models. It is shown that the measure combines information from the studentized residuals and the variances of the residuals and predicted values. Two examples are presented.

Cited by

• Regression Diagnostics
• Model Uncertainty and Robustness
• Collectively Classical: Connectedness, Awe, Feeling Moved, and Motion at a Live and Livestreamed Concert
• The equally “bad” French and English farmers of Quebec: New TFP measures from the 1831 census
• On measures of influence and discordance in phylogenomic analyses
• Explainability in machine learning: a pedagogical perspective
• The role of cognitive reserve and depression on executive function in older adults: A 10-year study from the Wisconsin Registry for Alzheimer’s Prevention
• Does No Mean No? Situational and Dispositional Factors Influence Emerging Adult Men’s Intentions to Use Assault Tactics in Response to Women’s Sexual Refusal During Hookups
• A meta-analysis of event-related potential correlates of recognition memory
• Effectiveness of e-learning: the mediating role of student engagement on perceived learning effectiveness
• Infection detection in faces: Children's development of pathogen avoidance
• Mapping global bee research with traits and plant-pollinator interaction networks
• Unified theory resolves phenological paradoxes in biocollection data by modeling phenophase duration during Bayesian inference
• Incomplete hierarchical data
• Influence of sleep and cardiovascular health on cognitive trajectories in older adults
• Systematic review of avian hatching failure and implications for conservation
• The dualistic regulatory effect of passion on the relationship between fear of failure and negative affect: Insights from facial expression analysis
• Modeling framework for establishing the power law between length and weight of fishes and a meta-analysis for validation of LWRs for six commercially important marine fishes from the northwestern Bay of Bengal
• Warmer temperature accelerates senescence by modifying the aging-dependent changes in the mosquito transcriptome, altering immunity, metabolism, and DNA repair
• The Roles of Personality Traits, AI Anxiety, and Demographic Factors in Attitudes toward Artificial Intelligence
• Is this real? Cocreation of value through authentic experiential augmented reality: the mediating effect of perceived ethics and customer engagement

Related

• Fast and Robust Least Squares Estimation in Corrupted Linear Models
• Influence Analysis with Panel Data
• Influence functions for Linear Discriminant Analysis: Sensitivity analysis and efficient influence diagnostics
• The Derivative of Influence Function, Location Breakdown Point, Group Leverage and Regression Residuals' Plots
• Average group effect of strongly correlated predictor variables is estimable