Introduction to Robust Estimation and Hypothesis Testing

By J. Kastner. 2005

1,729 citations recorded by the source corpus.

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Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/319888801133520959c17762093f7bcb5f342b81

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In Control and Systems Engineering

Citations in the corpus

Human-started wildfires expand the fire niche across the United States (2017, methodology): “We tested for trends in wildfire numbers through time using the nonparametric Theil-Sen estimator (54) and tested for trend significance using nonparametric Mann– Kendall tests (55).”
Autocorrelation and cross-correlation in time series of homicide and attempted homicide (2014, background): “It is known that, in the real world, data are highly non-stationary [22], andmany conventional methods of analysis are not suited for non-stationary time-series [23].”
Know thy Corpus! Robust Methods for Digital Curation of Web corpora (2020, methodology): “Research in robust statistics proposed other robust measures of location, such as Huber’s M-estimator, which is based on the idea of taking the values of non-outlying items at their face value and discounting the effect of the items outside a pre-defined range (Wilcox, 2012).”
Wide and Deep Convolutional Neural Networks for Electricity-Theft Detection to Secure Smart Grids (2018, background): “(a larger PCC value close to 1 means the stronger correlation [30]).”
Bounded influence magnetotelluric response function estimation (2004, methodology): “Details may be found in Chave et al. (1987) and Wilcox (1997).”
Outpatient psychotherapy for borderline personality disorder: randomized trial of schema-focused therapy vs transference-focused psychotherapy. (2006, methodology): “Robust analyses of covariance were, therefore, used, with pretest as the covariate, using Wilcox analysis of covariance (ANCOVA) on medians.(52,53) All the tests were interpreted with a significance level of 5%.”
A bounded influence regression estimator based on the statistics of the hat matrix (2003, background): “Recent reviews of this topic appear in Ryan (1997) and Wilcox (1997) .”
Structural Equation Modeling: Foundations and Extensions (Advanced Quantitative Techniques in the Social Sciences Series, Vol. 10.) by David Kaplan (2003, neutral): “Over recent years, robust estimation and bootstrapping procedures have been advocated more strongly in broad areas of applied statistics; Wilcox (1997, 2001) is one of the strongest proponents for far less complex analyses than SEM.”
Confidence Interval Coverage for Cohen's Effect Size Statistic (2006, methodology): “Both the trimmed mean and the Winsorized variance are robust parameters as judged by the criteria of qualitative robustness, quantitative robustness, and infinitesimal robustness (see Wilcox, 2005, section 2.1, for a description of these criteria).”
COMPARE: Classification of Morphological Patterns Using Adaptive Regional Elements (2007, methodology): “Other robust measurements, such as robust correlation [27], can be also used if these measurements can be computed very efficiently and are applicable to small sample size problems like ours.”
8. Outliers, Leverage Observations, and Influential Cases in Factor Analysis: Using Robust Procedures to Minimize Their Effect (2008, background): “Including data points like C generally leads to more precise estimates of the slope and intercept, and such data points are also called good leverage points (Rousseeuw and Leroy 1987:63; Wilcox 2001: pp. 218– 19, 2005: 417).”
Comparison of Robust Regression Methods in Linear Regression (2011, background): “Often, such influential points remain hidden to the user, because they do not always show up in the usual least squares residual plots.”
Dominance, cortisol and stress in wild chimpanzees (Pan troglodytes schweinfurthii) (2004, methodology): “This nonparametric test is similar to the standard Wilcoxon signed rank test, but has been shown to exhibit better power properties over a wide range of situations, and particularly when sampling from heavy-tailed distributions (Kepner and Robinson 1988; Wilcox 1997).”
Is My Network Module Preserved and Reproducible? (2011, methodology): “, the Spearman correlation or the biweight midcorrelation [47,48] implemented in the WGCNA package [46].”
Inferences Based on a Skipped Correlation Coefficient (2004, background): “For the bulk of these correlation coefficients, virtually nothing is known about how they might be used to test the hypothesis of independence, but two exceptions are the Winsorized and percentage bend correlations summarized in Wilcox (1997).”
Effect size measures for mediation models: quantitative strategies for communicating indirect effects. (2011, neutral): “It is well known that outliers can spuriously inflate or deflate statistical significance, Type II error rates (Wilcox, 2005), and confidence interval coverages, but they can also inflate or deflate estimates of effect size.”
The influence of parametric uncertainty on the relationships between HBV model parameters and climatic characteristics (2015, methodology): “The Pearson correlation coefficient (PCC; Wilcox 2005), was used to assess the strength of the relationships between model parameters and climatic indices.”